S1 HOMEWORK From pages 1 to 151 CR WHS 10/11 AUGUST MATHS HOMEWORK 1. Write these numbers using digits. a) thirty two d) eight hundred and twenty f) four thousand h) one thousand and twenty 2. Write these numbers using words. a) 64 b) 12 d) 302 e) 468 f) 2000 g) 3600 CR WHS 10/11 b) ninety g) c) two hundred and eight e) one hundred and one two thousand nine hundred c) 90 h) 1050 3. Write down the number that comes just after a) 43 b) 89 d) 199 e) 229 f) 1001 g) 5555 4. Write down the number that comes just before a) 17 b) 20 d) 361 e) 229 f) 1000 g) 3879 c) 97 h) 9999 c) 100 h) 10000 AUGUST MATHS HOMEWORK continued 5. Write these numbers out in order, starting with the smallest. a) 55 612 267 137 95 126 b) 543 43 302 15 881 101 c) 75 452 204 999 11 99 d) 3004 675 343 2553 999 9999 6. Write these numbers out in order, starting with the largest. a) 508 58 345 305 805 745 b) 707 547 123 475 77 899 c) 615 402 99 919 27 270 CR WHS 10/11 d) 489 9840 5600 56 7. 1235 4089 Look carefully! a) What number is arrow A pointing to? b) What number is arrow B pointing to? c) What number is arrow C pointing to? d) What number is arrow D pointing to? Look carefully again here! e) What number is arrow E pointing to? f) What number is arrow F pointing to? AUGUST MATHS HOMEWORK continued 8. Write down the number made from a) 4 tens and 3 units b) 7 tens and 8 units c) 2 hundreds, 4 tens and 1 unit d) 5 hundreds and 6 units e) 9 hundreds and 2 tens f) 4 thousands, 3 hundreds and 5 units g) 6 thousands, 8 tens and 2 units h) 1 thousand and 1 unit CR WHS 10/11 9. Round each number to the nearest 10. a) 58 b) 81 c) 75 d) 99 e) 12 f) 432 g) 319 h) 998 10. Calculate a) 3 4 b) 5 8 c) 7 3 + 5 _____ d) 4 + 9 ______ 7 5 _______ e) 6 + 1 9 ______ 9 f) - 3 7 _______ 5 6 9 ______ AUGUST MATHS HOMEWORK continued 11. Calculate a) 3x4= b) 4x6= c) 5x9= d) 7x2= e) 40 ÷ 5 = f) 90 ÷ 10 = g) 24 ÷ 8 = h) 35 ÷ 7 = 12. Find the missing number. a) 5 + ______ = 17 b) 20 - _______ = 5 c) 7 x ______ = 49 d) 56 ÷ ______ = 7 CR WHS 10/11 e) ______ + 14 = 40 f) _______ - 15 = 35 g) _______ x 9 = 63 h) _______ ÷ 6 = 9 AUGUST MATHS HOMEWORK 1. Write these numbers using digits. a) eight hundred and twenty c) four thousand e) one thousand and twenty g) forty three thousand and nine h) one hundred thousand and thirty 2. Write these numbers using words. a) 649 CR WHS 10/11 d) b) 120 b) one hundred and one two thousand nine hundred f) eight thousand c) 4990 d) 3020 e) 4608 f) 9000 g) 36008 3. Write down the number that comes just after a) 430 b) 899 d) 1199 e) 2029 f) 41001 g) 65559 h) c) 977 h) 90999 100505 AUGUST MATHS HOMEWORK continued 4. Write down the number that comes just before a) 170 b) 220 d) 4361 e) 22900 f) 31005 g) 93879 5. Write these numbers out in order, starting with the smallest. a) 556 1612 267 9137 b) 1543 43 9915 89810 302 c) 975 4528 2548 89909 7110 CR WHS 10/11 c) 1100 h) 99999 12600 d) 3004 3439 255 73999 9999 6. Write these numbers out in order, starting with the largest. a) 2508 598 34500 35 805 b) 707 5147 10923 475 77 c) 8615 402 9099 86319 20007 d) 489 96840 5600 562 12356 AUGUST MATHS HOMEWORK continued 7. Look carefully! a) What number is arrow A pointing to? b) What number is arrow B pointing to? c) What number is arrow C pointing to? d) What number is arrow D pointing to? Look carefully again here! e) What number is arrow P pointing to? f) What number is arrow Q pointing to? CR WHS 10/11 g) What number is arrow R pointing to? h) What number is arrow S pointing to? 8. What number lies half way between a) 150 and 160 b) 380 and 400 c) 1300 and 1800 d) 2300 and 3400 e) 9999 and 10001 f) 45005 and 55005 AUGUST MATHS HOMEWORK continued 9. Round each number to the nearest 10. a) 58 b) 812 c) 4575 d) 99436 h) 99199 Round each number to the nearest 100. e) 752 10. Calculate a) 5 3 4 +4 9 5 ______ CR WHS 10/11 f) 4320 g) 31904 b) 5 8 7 c) 7 3 6 1 + 8 3 9 _______ + 1 9 5 6 ________ d) 4 5 7 3 5 _______ e) 6 9 0 6 f) - 3 7 1 7 ____________ 5 7 0 0 0 - 9 12 6 __________ 11. Calculate a) 23 x 4 = b) 54 x 6 = c) 15 x 9 = d) 307 x 2 = e) 400 ÷ 5 = f) 96 ÷ 8 = g) 240 ÷ 8 = h) 735 ÷ 7 = AUGUST MATHS HOMEWORK continued 12. Find the missing number. a) 35 + ______ = 57 b) 72 - _______ = 5 c) 8 x ______ = 560 d) 581 ÷ ______ = 7 e) ______ + 214 = 540 f) _______ - 175 = 305 g) _______ x 9 = 648 h) _______ ÷ 6 = 19 CR WHS 10/11 SEPTEMBER MATHS HOMEWORK 1. Calculate the following. a) 51 + 9 d) 375 + 53 e) 29 – 4 h) 450 - 60 2. Calculate the following. a) 20 x 3 d) 18 ÷ 2 CR WHS 10/11 b) 47 + 13 c) 46 + 28 f) 65 – 32 g) 35 – 8 b) 31 x 4 c) 42 x 5 e) 36 ÷ 2 f) 76 ÷ 4 3. Calculate the following. a) 62 + 9 d) 472 + 48 e) 39 – 5 h) 630 - 60 4. Calculate the following. a) 32 x 6 d) 18 ÷ 3 b) 27 + 15 c) 66 + 29 f) 86 – 34 g) 75 – 7 b) 47 x 8 c) 56 x 9 e) 350 ÷ 5 f) 78 ÷ 6 SEPTEMBER MATHS HOMEWORK continued 5. Read the following questions carefully and then calculate your answers. Remember to show all your working! a) Penny has 26 red pencils and 39 blue pencils. How many pencils does she have altogether? b) Katie saved up £98. Kim saved up £23 less than Katie. How much money did Kim save? c) There are 165 sweets in a jar. There are 42 chocolates in a box. How many fewer chocolates than sweets are there? d) David has 85 DVD films and Davina has 99 DVD films. How many DVD films do they have altogether? e) I was taking part in a 400m race and my shoe flew off 235m from the finishing line. How far had I ran before my shoe fell off? CR WHS 10/11 6. Read the following questions carefully and then calculate your answers. Remember to show all your working! a) A box holds 3 golf balls. How many golf balls are there in 8 boxes? b) Addie has a box of 36 chocolate snakes. She wants to share them equally among 6 children. How many snakes will each child get? c) A set of 4 pens costs 60p. How much does 1 pen cost? d) There are twelve eggs in a box. How many eggs are in seven of these boxes? e) I went to a café with my friends. One glass of cola costs 35p. How much would 9 of these glasses of cola cost? SEPTEMBER MATHS HOMEWORK continued 7a) What do you need to add to 27 to get 28? b) What do you need to add to 35 to get 45? c) What do you need to add to 631 to get 731? d) How much bigger is 46 than 36? e) How much smaller is 120 than 220? 8a) What do you need to add to 15 to get 24? b) What do you need to add to 47 to get 78? c) What do you need to add to 533 to get 634? d) How much bigger is 34 than 25? CR WHS 10/11 e) How much smaller is 130 than 220? 9a) John earns £25 and Jack earns £4 less. How much does Jack earn? b) Mary earns £105 and Ann earns £12 more. How much does Ann earn? c) I have £69 and you have £27. How much do we have altogether? d) You have £100 and I only have £73. How much less money do I have? SEPTEMBER MATHS HOMEWORK continued 10. Copy and complete: a) 3 x 10 = __________ b) 14 x 10 = ____________ c) 54 x 10 = _________ d) 100 x 10 = ___________ e) 122 x 10 = ________ f) 276 x 10 = ___________ g) 500 x 10 = ________ h) 719 x 10 = ___________ 11. Read the following questions carefully and then calculate your answers. Remember to show any working! a) A pencil costs 20p. How much will ten pencils cost? b) A farmer plants ten trees in a row. How many trees are there in 14 rows? CR WHS 10/11 c) A carton of juice holds 250 millilitres. How many millilitres are in 10 cartons? d) A jar of honey weighs 450 grams. What will ten of these jars weigh? 12. Copy and complete the following: a) 12p x 10 = _________ p b) 53p x 10 = _________ p c) 25cm x 10 = __________ cm d) 235ml x 10 = __________ ml e) 409g x 10 = ___________ g SEPTEMBER MATHS HOMEWORK continued 13. Copy and complete: a) 30 ÷ 10 = __________ b) 140 ÷ 10 =____________ c) 570 ÷ 10 = _________ d) 1000 ÷ 10 =___________ e) 1320 ÷ 10 = ________ f) 2780 ÷ 10 =___________ g) 7000 ÷ 10 = ________ h) 52180 ÷ 10 =__________ 14. Read the following questions carefully and then calculate your answers. Remember to show any working! a) 100 sweets were shared among 10 children equally. How many sweets will each child receive? b) A fence has 320 planks of wood. One tenth is to be painted brown How many planks will be painted brown? CR WHS 10/11 c) A water tank holds 480 litres. A barrel holds one tenth of the water in this tank. How much water is in a barrel? d) John has £25 000 in a bank account. He gives one tenth of this to charity. How much money did John give to charity? 15. Copy and complete the following: a) 230p ÷ 10 = _________ p b) 5430 pins ÷ 10 = _________ pins c) 22 150 cm ÷ 10 = __________ cm d) 55 000 ml ÷ 10 = __________ ml SEPTEMBER MATHS HOMEWORK continued 16. Round the following numbers to the nearest 10. a) 24 b) 37 c) 122 d) 205 e) 432 f) 507 g) 695 h) 824 I) 999 17. Copy and complete each calculation by rounding each number to the nearest 10 first: a) 42 + 26 is about ____ + _____ = b) 69 + 101 is about ________ = c) 112 - 75 d) is about ____ - _____ is about CR WHS 10/11 ____ + _____ ________ 369 - 159 ____ - _____ = ________ = ________ 18. A “story” often changes how we round numbers. Think very carefully about these stories! a) Eleven friends want to go into Glasgow by taxi. A taxi can only hold 5 people. How many taxis would they need to order? b) A netball club has 27 members. A netball team has seven players. How many teams can be formed? SEPTEMBER MATHS HOMEWORK continued 19a) i) I spent £15 on a book, £3.50 on a magazine and £1 on a bottle of water. How much did I spend altogether? ii) How much is this answer, rounded to the nearest £10? b)i) I gave my Aunt Jane a box of chocolates. There were 52 chocolates in this box and I ate 7. How many chocolates are left? ii) What is this number of chocolates, rounded to the nearest 10? 20a) Use each of the numbers 4 and 7 and 2 once to make the largest number you can. b) Use each of the numbers 4 and 7 and 2 once to make the smallest number you can. c) Subtract the smallest number from the largest. CR WHS 10/11 d) Round this answer to the nearest 10. SEPTEMBER MATHS HOMEWORK 1. Calculate the following. a) 51 + 97 d) 3755 + 539 e) 292 – 45 h) 8450 - 2060 2. Calculate the following. a) 207 x 3 d) 186 ÷ 2 3. Calculate the following. a) 628 + 97 CR WHS 10/11 b) 472 + 137 c) 746 + 528 f) 653 – 326 g) 735 – 482 b) 318 x 7 c) 742 x 5 e) 372 ÷ 6 f) 1692 ÷ 4 927 + 185 c) 466 + 529 b) d) 9472 + 948 e) 394 – 59 h) 8630 - 6190 4. Calculate the following. a) 290 x 3 d) 144 ÷ 6 f) 486 – 349 g) 1075 – 274 b) 2361 x 4 c) 842 x 5 e) 1089 ÷ 9 f) 845 ÷ 5 SEPTEMBER MATHS HOMEWORK continued 5. Read the following questions carefully and then calculate your answers. Remember to show all your working! a) Penny has 426 red pencils and 309 blue pencils. How many pencils does she have altogether? b) Katie saved up £298. Kim saved up £123 less than Katie. How much money did Kim save? c) There are 565 pins in a box. There are 499 pegs in a box. How many fewer pegs than pins are there? d) David has 185 DVD films and Davina has 109 DVD films. How many DVD films do they have altogether? e) I was taking part in a 1000m race and my shoe flew off 235m from the finishing line. How far had I ran before my shoe fell off? 6. Read the following questions carefully and then calculate your answers. Remember to show all your working! a) A box holds 3 golf balls. CR WHS 10/11 How many golf balls are there in 18 boxes? b) Addie has a box of 324 chocolate snakes. She wants to share them equally among 6 children. How many snakes will each child get? c) A set of 5 pens costs 95p. How much does 1 pen cost? d) There are twenty four eggs in a box. How many eggs are in nine of these boxes? e) I went to a café with my friends. One glass of cola costs 65p. How much would 9 of these glasses of cola cost? SEPTEMBER MATHS HOMEWORK continued 7a) What do you need to add to 227 to get 228? b) What do you need to add to 359 to get 459? c) What do you need to add to 6301 to get 7301? d) How much bigger is 46 000 than 31 000? e) How much smaller is 12 500 than 12 200? 8a) What do you need to add to 815 to get 824? b) What do you need to add to 1047 to get 1078? c) What do you need to add to 5133 to get 6134? d) How much bigger is 30 034 than 25 034? e) How much smaller is 130 000 than 220 000? CR WHS 10/11 9a) John earns £250 and Jack earns £40 less. How much does Jack earn? b) Mary earns £1058 and Ann earns £120 more. How much does Ann earn? c) I have £692 and you have £27. How much do we have altogether? d) You have £10 000 and I only have £73. How much less money do I have? SEPTEMBER MATHS HOMEWORK continued 10. Copy and complete: a) 3 x 10 = __________ b) 14 x 10 = c) 54 x 100 = _________ d) 100 x 100 = ___________ e) 122 x 10 = _________ f) 276 x 10 = ___________ g) 500 x 100 = _________ h) 719 x 100 = ___________ 11. Read the following questions carefully and then calculate your answers. Remember to show any working! a) A pencil costs 20p. How much will ten pencils cost? b) A farmer plants one hundred trees in a row. How many trees are there in 14 rows? c) A carton of juice holds 550 millilitres. How many millilitres are in 10 cartons? d) A jar of honey weighs 450 grams. CR WHS 10/11 ____________ What will one hundred of these jars weigh? 12. Copy and complete the following: a) 12p x 10 = b) 503p x 100 = _________ p c) 525cm x 100 = __________ cm d) 4235ml x 10 = __________ ml e) 7009g x 100 = ___________ g _________ p SEPTEMBER MATHS HOMEWORK continued 13. Copy and complete: a) 30 ÷ 10 = __________ b) 140 ÷ 10 = ____________ c) 5700 ÷ 100 = _________ d) 21 000 ÷ 100 =___________ e) 13 020 ÷ 10 = ________ f) 42 780 ÷ 10 = ___________ g) 70 000 ÷ 100 = ________ h) 521 800 ÷ 100 = __________ 14. Read the following questions carefully and then calculate your answers. Remember to show any working! a) 4500 jotters were shared among 10 classrooms equally. How many jotters did each classroom receive? c) A fence has 3200 planks of wood. One hundredth is to be painted brown How many planks will be painted brown? c) A water tank holds 54 800 litres. A large barrel holds one tenth of the water in this tank. How much water is in a barrel? CR WHS 10/11 d) John has £25 500 in a bank account. He gives one hundredth of this to charity. How much money did John give to charity? 15. Copy and complete the following: a) 230p ÷ 10 = _________ p b) 54 300 pins ÷ 100 = _________ pins c) 22 150 cm ÷ 10 = __________ cm d) 755 000 ml ÷ 10 = __________ ml SEPTEMBER MATHS HOMEWORK continued 16. Round the following numbers to the nearest 10. a) 24 b) 37 c) 122 d) 205 e) 432 f) 507 g) 695 h) 824 I) 999 17. Copy and complete each calculation by rounding each number to the nearest 100 first: a) 142 + 226 is about ____ + _____ = b) 469 + 101 is about ________ = c) 612 - 375 d) is about ____ - _____ is about = CR WHS 10/11 ________ ____ + _____ ________ 1369 - 859 = ____ - _____ ________ 18. A “story” often changes how we round numbers. Think very carefully about these stories! a) Eleven friends want to go into Glasgow by taxi. A taxi can only hold 5 people. How many taxis would they need to order? Why? b) A netball club has 27 members. A netball team has seven players. How many teams can be formed? Why? SEPTEMBER MATHS HOMEWORK continued 19a) i) Sue spent £95 on books, £8.50 on magazines and 85p on a bottle of water. How much did she spend altogether? ii) How much is this answer, rounded to the nearest £10? b)i) I gave my Aunt Jane a tin of chocolates. There were 204 chocolates in this tin and I ate 17! How many chocolates are left? ii) What is this number of chocolates, rounded to the nearest 10? 20a) Use each of the numbers 3 and 8 and 1 and 5 once to make the largest number you can. b) Use each of the numbers 3 and 8 and 1 and 5 once to make the smallest number you can. c) Subtract the smallest number from the largest. d) Round this answer to the nearest 100. CR WHS 10/11 ************* 21. Write down the first five multiples of: a) 2 b) 3 c) 7 d) 8 e) 11 SEPTEMBER MATHS HOMEWORK continued 22. Write down ALL the factors of: a) 4 b) 6 c) 10 d) 12 e) 18 23. Draw a factor tree for each of the following: a) 20 b) 22 c) 30 d) 32 CR WHS 10/11 24. Use BODMAS to calculate the following: a) 2+4x5 b) 25 – 10 ÷ 2 c) 3 + (5 – 2) d) (6 + 3) x (8 – 2) e) ½ of 12 + 8 BODMAS = Brackets, Of, Divide, Multiply, Add, Subtract SEPTEMBER MATHS HOMEWORK continued 25. Use BODMAS to calculate the following: a) 12 + 8 x 3 b) 34 – 15 ÷ 5 c) 19 + (6 – 2) d) (12 + 3) ÷ (10 – 5) e) ¼ of 16 + 3 BODMAS = Brackets, Of, Divide, Multiply, Add, Subtract 26. Show ALL YOUR WORKING in these long multiplication questions. a) 26 x 12 b) 23 x 17 c) 35 x 21 d) 47 x 38 CR WHS 10/11 e) 53 x 45 f) 68 x 59 OCTOBER MATHS HOMEWORK 1a) How many 1p coins have the same value as i) ii) iii) iv) 1b) How much money would you have if you added up all the coins in parts i to iv altogether? 2a) How many 5p pieces will I receive for i) CR WHS 10/11 ii) iii) iv) 2b) How much money would you have if you added up all the coins in parts i to iv altogether? OCTOBER MATHS HOMEWORK continued 3a) John has Paul has i) How much money do they have altogether? ii) How much more money does Paul have? 3b) George has Ringo has i) How much money do they have altogether? ii) How much less money does George have? 4a) Steven has CR WHS 10/11 John has i) How much money do they have altogether? ii) How much more money does Steven have? 4b) Mike has 75p. How much more money than John does he have? 4c) Andy has £1. How much less money than Steven does he have? OCTOBER MATHS HOMEWORK continued 5. Write down the TWO coins you could use to pay for the following: a) a sharpener costing 6p. b) sweets costing 7p. c) a pencil costing 12p. d) crisps costing 30p. e) bread costing 70p. 6. Change the following into pounds (£) and pence (p). (for example: 315p = £3 and 15p) a) 140p b) 276p c) 507p d) 409p e) 32p f) 1p 7. Change the following into pounds (£). (for example: 6 pounds and 19 pence = £6.19) CR WHS 10/11 a) 4 pounds and 25 pence b) 10 pounds and 50 pence c) 6 pounds and 10 pence d) 2 pounds and 5 pence e) 40 pence f) 1 pence OCTOBER MATHS HOMEWORK 8. a) Copy and complete the following calculations. (REMEMBER! Line up the decimal points carefully.) £ 3.45 +2.68 _______ b) _______ d) continued £ 8.15 +4.67 _______ £ 5.76 +3.99 _______ c) _______ e) _______ £ 9.36 +5.87 _______ £ 4.52 + 6.59 ________ ________ f) _______ £ 11 . 4 1 + 3.64 ________ ________ 9. Copy and complete the following calculations. (REMEMBER! Line up the decimal points carefully.) a) £ CR WHS 10/11 b) £ c) £ d) 4.45 - 2.13 _______ 6.87 - 3.67 _______ 5.52 - 4.50 ________ _______ _______ ________ £ 7.60 - 4.47 _______ e) £ 10 . 9 6 - 5.87 _______ _______ _______ OCTOBER MATHS HOMEWORK continued f) £ 9.01 - 7.58 ________ ________ SHOW YOUR WORKING FOR ALL THESE QUESTIONS! 10a) Sean bought a bottle of water for 95p and an apple costing 48p. How much has Sean spent altogether? b) If Sean paid for these items with a £2 coin, then how much change would he get back? c) What coins could he have received in this change? 11a) Aunt Ann bought a birthday card for £2.85 and some stamps costing £1.50. How much has she spent altogether? b) Aunt Ann gave the assistant a £5 note. What change did the assistant give her back? c) What coins could she have received in this change? 12a) Roy buys a cooked breakfast. He orders: CR WHS 10/11 Eggs costing £1.50 Mushrooms Tomatoes Toast Fresh orange juice costing 95p costing 55p costing 80p costing £1.10 How much does Roy’s breakfast cost? b) What change would Roy get from a £10 note? OCTOBER MATHS HOMEWORK continued SHOW YOUR WORKING FOR ALL THESE QUESTIONS! YOU MAY USE A CALCULATOR IF YOU WISH. 13a) A shirt costs £7.99 and a tie costs £4.55. How much do they cost altogether? b) In a sale, this amount is reduced by £1.85. How much do they cost now? c) Uncle Bob bought them in this sale and handed over a £20 note. How much change did he receive? 14a) I want to buy a CD costing £10.99 and a DVD boxed set costing £15.80 on ebay. How much is this altogether? b) I was asked to pay £3.60 postage as well. What is the total cost now? c) I am only allowed to spend £30. Can I afford to buy these items? CR WHS 10/11 Why? 15a) William has £20 on his cashless catering card at school. On Monday he buys a meal costing £2.15. How much does he have left on his card? b) On Tuesday he spends £2.54. How much does he have left now? c) On Wednesday he bought two meals (for himself and his pal) costing £2.50 each. How much does he have on his card now? OCTOBER MATHS HOMEWORK 1a) How many £1 coins can be exchanged for i) 1b) ii) ? How many £5 notes can be exchanged for i) ii) ? 1c) What is the total of the money in the above four questions? 2. Write down the THREE coins you could use to pay for the following: a) bread costing 75p. b) a bottle of water costing 90p. c) a magazine costing £1.22. d) a paperback book costing £3.50. CR WHS 10/11 e) a box of chocolates costing £4.05. 3. Joan gives a £20 note at the checkout to pay for groceries costing £15.73. a) How much change does Joan get? b) What coins might Joan have in her change? (show working) OCTOBER MATHS HOMEWORK continued 4i) Write down the length of each pencil, in cm, in the diagram below: 4ii) What is the total length of these three pencils? (show working) 5a) What is the length of this screwdriver? (show working) 5b) What is the length of the handle of this chisel? (show working) CR WHS 10/11 5c) How tall is this plant pot? (show working) OCTOBER MATHS HOMEWORK continued 6. a) Copy and complete the following calculations. (REMEMBER! Line up the decimal points carefully.) £ 13 . 4 5 + 22 . 6 2 ________ b) ________ d) 7. £ 25 . 7 1 + 3.99 ________ c) ________ e) £ 34 . 5 2 + 16 . 5 9 _________ _________ f) 78 . 1 5 3 + 4.674 _________ 59.366 +15.074 _________ __________ _________ 11 . 4 0 7 + 43.648 _________ _________ Copy and complete the following calculations. (REMEMBER! Line up the decimal points carefully.) CR WHS 10/11 a) £ 48 . 4 5 - 22 . 1 3 ________ b) ________ d) £ 25 . 7 6 - 3.05 ________ ________ e) 68 . 4 9 8 - 5.372 _________ c) _________ f) 48 . 3 8 4 - 8.792 _________ _________ _________ OCTOBER MATHS HOMEWORK continued 8a) £ 34 . 5 0 - 17 . 4 0 _________ 85 . 4 6 5 - 23.036 _________ _________ Roy buys a cooked breakfast. He orders: Eggs Mushrooms Tomatoes Toast Fresh orange juice (show working) costing £2.50 costing £1.20 costing 55p costing 80p costing £1.60 How much does Roy’s breakfast cost? b) What change would Roy get from a £20 note? c) What notes/coins might Roy get back in his change? 9a) William has £20 on his cashless catering card at school. On Monday he buys a meal costing £2.15. How much does he have left on his card? b) On Tuesday he spends £2.54. How much does he have left now? CR WHS 10/11 (show working) c) On Wednesday he bought two meals (for himself and his pal) costing £2.70 each. How much does he have on his card now? 10. Round each of the following to the nearest centimetre: a) 9.3cm b) 12.6cm c) 17.9cm d) 0.5cm e) 27.2cm f) 35.5cm g) 39.1cm h) 100.5cm OCTOBER MATHS HOMEWORK continued 11. Round each of the following to the nearest pound: a) £2.17 b) £11. 45 c) £21.57 d) £6.99 e) £56.50 f) £17.34 g) £64.36 h) £84.77 12. Calculate: c) 53.1 x 10 h) 179.2 ÷ 10 (Read each part of this question carefully!) a) 4.42 x 10 b) 7.03 x 10 d) 5.99 x 100 e) 12.53 x 100 f) 43.0 ÷ 10 g) 73.1 ÷ 10 i) 682.0 ÷ 100 j) 3596.0 ÷ 100 13. Copy and complete: CR WHS 10/11 a) 3.6 x 4 ______ b) ______ d) _______ 7) 8 1 . 2 4.8 x 5 ______ c) ______ e) 5.2 x 6 _____ _____ ________ 9) 6 4 . 8 OCTOBER MATHS HOMEWORK continued 14. a) Copy and complete: 4.52 x 3 _______ b) _______ d) _______ 4) 7. 0 4 5.46 x 7 _______ c) _______ e) 7.123 x 8 ________ ________ _________ 6) 6 . 1 7 4 15. Read each part of this question carefully! You may use a calculator, but please show your working. a) Bill buys a pair of boots for £54.90 and Ben buys a jacket for £82.99. How much have they spent altogether? b) Jill is paid £9.50 for every hour she works. How much does she get paid if she works for 12 hours? c) A pile of five bricks is 49.5cm tall. CR WHS 10/11 How high is each brick? d) A car exhaust costs £159.95 and a set of tyres costs £210. What is the difference in these prices? OCTOBER MATHS HOMEWORK continued 16. a) b) 17. a) b) 18. I bought a DVD for £15.99 and sold it for £16.50. Did I make a profit or a loss? How much was this profit or loss? My Uncle Shawn bought a laptop for £345 and sold it to a friend for £295. Did he make a profit or a loss? How much was this profit or loss? Make up an example of your own, where a person makes a profit of £15.90. (You may draw pictures or cut them out from magazines if you wish . . . but please ask for permission!) CR WHS 10/11 19. Make up an example of your own, where a person makes a loss of £25.80. (You may draw pictures or cut them out from magazines if you wish . . . but please ask for permission!) 20. Make up an example of your own, where a person makes neither a profit nor a loss! (You may draw pictures or cut them out from magazines if you wish . . . but please ask for permission!) NOVEMBER MATHS HOMEWORK 1a) Use a template (corner of a book or a jotter) to find out which of the following shapes are right angles: 1b) Write down two examples of right angles that you can see in your home. 2. Look at this diagram carefully! CR WHS 10/11 Now use your template to decide if angles are right angles, bigger than a right angle, or smaller than a right angle. ( Write your answer as “1 is smaller” etc. ) NOVEMBER MATHS HOMEWORK continued 3. Do you remember? How many degrees are there in: a) b) c) d) e) 4. a right angle a straight line a complete turn an acute angle an obtuse angle ? Write down which type of angle each of the following is: (acute, right, obtuse or straight) CR WHS 10/11 NOVEMBER MATHS HOMEWORK continued 5. How many degrees does the minute hand move through on these clock faces? CR WHS 10/11 6. On a clock face, how many degrees does the minute hand sweep through when it moves clockwise from the: a) 6 round to the 9 e) 8 round to the 8 b) 7 round to the 1 f) 5 round to the 8 c) 11 round to the 2 g) 12 round to the 6 d) 1 round to the 10 h) 3 round to the 12 NOVEMBER MATHS HOMEWORK continued 7. Copy these sentences, choosing the correct words from the brackets: a) An acute angle is ( less than b) A right angle is ( less than c) An obtuse angle is ( less than equal to more than ) 90°. d) A straight angle is ( less than equal to more than ) 180°. e) 100° is ( an acute a right an obtuse a straight ) angle. f) 65° is ( an acute a right an obtuse a straight ) angle. 8. Write down whether each of these angles is acute, obtuse, right, straight or complete turn: a) 84° b) 360° c) 120° d) 180° e) 2° f) 90° CR WHS 10/11 equal to equal to more than ) 90°. more than ) 90°. g) 145° h) 172° i) 91° 9. What type of angle is made when you calculate: a) 70° + 50° b) 30° - 10° c) 150°+ 30° d) 80° + 10° e) 110° - 40° f) 200°- 100° g) 140° + 10° h) 50° - 40° i) 165°- 85° j) 45° + 45° NOVEMBER MATHS HOMEWORK continued 10. 11. Use a template to check how many right angles there are in the figures shown below: Use your template to find out which angles are right angled, bigger than a right angle or smaller than a right angle. (Write your answers as follows: “1 – smaller than a right angle” etc.) CR WHS 10/11 NOVEMBER MATHS HOMEWORK continued 12a) Draw a square in your homework jotter. Make it 6 boxes across and 6 boxes up. Now mark in all the right angles. How many right angles are there? 12b) Draw a rectangle in your homework jotter. Make it 8 boxes across and 5 boxes up. Now mark in all the right angles. How many right angles are there? 12c) Draw a shape which has only one right angle. 13a) Sketch a clock face and draw hands on the clock to show an acute angle. 13b) Sketch a clock face and draw hands on the clock to show a right angle. 13c) Sketch a clock face and draw hands on the clock to show an obtuse angle. CR WHS 10/11 14. Write down what type of angle the minute hand of a clock sweeps through when it moves clockwise between: a) 7 and 9 b) 8 and 11 c) 12 and 4 d) 3 and 9 e) 2 and 6 f) 1 and 4 g) 5 and 11 h) 11 and 12 i) 9 and 11 NOVEMBER MATHS HOMEWORK continued 15. a) b) c) d) Sketch an acute angle an obtuse angle a right angle a straight angle and write beside each sketch what a possible angle size could be, OR what the exact angle size has to be. 16a) Put these angle sizes in the correct order, starting with the smallest. 150° 127° 270° 135° 90° 50° 180° 360° 10° 16b) Put these angle types in the correct size order, starting with the smallest. half-turn 17. acute angle quarter turn complete turn obtuse angle What type of angle is made when you calculate: CR WHS 10/11 a) 27° + 35° b) 100° + 25° c) 45° + 45° d) 300° + 60° e) 100° - 25° f) 125° + 55° g) 140° - 60° h) 130° - 65° i) 55° + 55° j) 90° + 90° NOVEMBER MATHS HOMEWORK continued 18. Write down what type of angle each of the following is: a) b) c) d) e) f) 19. a) b) Write down an object that has/can make: a right angle an acute angle CR WHS 10/11 c) d) e) an obtuse angle a straight line a complete turn 20. What type of angle am I? a) b) c) d) e) I am smaller than a straight line but bigger than a right angle. I am smaller than a right angle. I am the same as two right angles. I am 90° I am the same as two straight angles. NOVEMBER MATHS HOMEWORK 1a) Use a template (corner of a book or a jotter) to find out which of the following shapes are right angles: 1b) Write down two examples of right angles that you can see in your home. 2. Look at this diagram carefully! CR WHS 10/11 Now use your template to decide if angles are right angles, bigger than a right angle, or smaller than a right angle. ( Write your answer as “1 is smaller” etc. ) NOVEMBER MATHS HOMEWORK continued 3. Do you remember? How many degrees are there in: a) b) c) d) e) 4. a right angle a straight line a complete turn an acute angle an obtuse angle ? Write down which type of angle each of the following is: (acute, right, obtuse or straight) CR WHS 10/11 NOVEMBER MATHS HOMEWORK continued 5. How many degrees does the minute hand move through on these clock faces? CR WHS 10/11 6. On a clock face, how many degrees does the minute hand sweep through when it moves clockwise from the: e) 6 round to the 9 e) 8 round to the 8 f) 7 round to the 1 f) 5 round to the 8 g) 11 round to the 2 g) 12 round to the 6 h) 1 round to the 10 h) 3 round to the 12 NOVEMBER MATHS HOMEWORK continued 7. Copy these sentences, choosing the correct words from the brackets: a) An acute angle is ( less than b) A right angle is ( less than c) An obtuse angle is ( less than and ( less than equal to equal to more than ) 90°, more than ) 180°. d) A straight angle is ( less than equal to more than ) 180°. e) A reflex angle is ( less than and ( less than 8. Write down whether each of these angles is acute, obtuse, right, reflex, straight or complete turn: a) 84° b) 360° c) 190° d) 180° e) 2° f) 90° CR WHS 10/11 equal to equal to more than ) 90°. more than ) 90°. equal to equal to more than ) 180°, more than ) 360°. g) 215° h) 172° i) 91° 9. What type of angle is made when you calculate: a) 70° + 50° b) 30° - 10° c) 150°+ 30° d) 80° + 10° e) 110° - 40° f) 300°- 100° g) 140° + 140° h) 50° - 40° i) 170° + 190° j) 45° + 45° NOVEMBER MATHS HOMEWORK continued 10. Name each of the following angles: S D Y a) b) C E T M W c) J d) G K A Q Z D e) f) F V CR WHS 10/11 K 11a) Name the four angles in this rectangle: T S V U b) What type of angle is each one? c) What is the size of each angle? NOVEMBER MATHS HOMEWORK continued 12a) Name the angles in this triangle: R V b) 13. S What is the type of each angle? Name the three angles to be found in this diagram. Look carefully! J H L CR WHS 10/11 K 14. Draw, using a ruler, a) b) c) d) an acute angle named ∠MNP. an obtuse angle named ∠DEF. a right angle named ∠XYZ. a reflex angle named ∠ECR. NOVEMBER MATHS HOMEWORK continued 15. Use your protractor carefully to measure the size of each of the angles drawn in question 1. 16. Use your protractor carefully to measure the size of each of the angles drawn in question 4. 17. Use your protractor carefully to measure the size of each of the angles drawn in question 10. 18. Draw these angles carefully, using a ruler and a protractor. (give yourself plenty of space!) a) ∠ABC, with arms AB = 5cm and BC = 4cm, and ∠ABC = 50° b) ∠XYZ, with arms XY = 4cm and YZ = 6cm, and ∠XYZ = 40° 19. Draw these angles carefully, using a ruler and a protractor. (give yourself plenty of space!) a) ∠GHJ, with arms GH = 2cm and HJ = 5cm, and ∠GHJ = 60° CR WHS 10/11 b) ∠CER, with arms CE = 3cm and ER = 7cm, and ∠CER = 70° 20a) b) c) d) Draw a horizontal line 8cm long. Draw a vertical line 4cm long. Name a horizontal surface in the classroom. Name a vertical surface in the classroom. NOVEMBER MATHS HOMEWORK continued 21. Write down the 3 – figure bearing shown in each of the following diagrams: N N N 70° a) 120° b) c) 190° N d) 85° CR WHS 10/11 N e) 50° 22. a) b) c) d) 23. a) b) c) d) What is the 3 – figure bearing of: North East South West ? What is the 3 – figure bearing of: North East South East South West North West ? DECEMBER MATHS HOMEWORK 1. What number will come out of each number machine? a) 4 → double → ? b) 7 → add 5 → ? c) 12 → subtract 5 → d) 5 → multiply by 8 → ? e) 18 → divide by 2 → ? 2. ? What number will come out of each number machine? a) 13 → double → b) 10 → halve → c) 24 → subtract 9 → d) 3 → multiply by 5 → CR WHS 10/11 ? ? ? ? e) 18 → add 12 → 3. ? What number will come out of each number machine? a) 32 → double → ? b) 24 → halve → c) 39 → subtract 12 → ? d) 9 → multiply by 6 → ? e) 56 → divide by 7 → ? ? DECEMBER MATHS HOMEWORK continued 4. Look at this number machine: IN → +11 → OUT What number comes out, when you put in the numbers a) 2 b) 15 c) 27 d) 5. Look at this number machine: 39 e) 52 IN → -17 → OUT What number comes out, when you put in the numbers a) 21 CR WHS 10/11 b) 35 c) 49 d) 57 e) 70 6. What number would you put in each number machine? a) ? → double → 12 b) ? → add 6 → c) ? → subtract 4 → 12 d) ? → multiply by 5 → e) ? → divide by 3 → 4 20 25 DECEMBER MATHS HOMEWORK continued 7. What number would you put in each number machine? a) ? → treble → b) ? → quarter → c) ? → subtract 8 → d) ? → multiply by 8 → 40 e) ? → add 10 → 8. 9 4 20 100 What number would you put in each number machine? a) ? → add 13 → b) ? → subtract 3 → c) ? → halve → d) ? → multiply by 7 → CR WHS 10/11 27 25 12 56 e) 9. ? → divide by 4 → 2 Look at this number machine: IN → + 14 → OUT What number do you put in, when these numbers come out? a) 20 b) 25 c) 30 d) 39 e) 52 DECEMBER MATHS HOMEWORK continued 10. Look at this number machine: IN → -17 → OUT What number do you put in, when these numbers come out? a) 3 11. Write down the number that comes out of each machine: a) b) c) CR WHS 10/11 b) 10 c) 18 d) 22 e) 30 12. Write down the number that goes into each machine: a) b) c) DECEMBER MATHS HOMEWORK continued 13. a) One sweet costs 8p. Copy and complete this table: number of sweets 1 2 3 4 5 6 cost in pence 8 b) Copy and complete the number machine for the number of sweets and the cost. c) Use the number machine to find the cost of 15 sweets. 14. a) One pencil costs 12p. Copy and complete this table: (you may use a calculator) CR WHS 10/11 number of pencils 1 2 3 4 5 6 cost in pence 12 b) Copy and complete the number machine for the number of pencils and the cost. c) Use the number machine to find the cost of 25 pencils. DECEMBER MATHS HOMEWORK continued 15. One pizza costs £1.50. a) Copy and complete this table: (you may use a calculator) number of pizzas 1 2 3 4 5 6 cost in pounds £1.50 b) Copy and complete the number machine for the number of pizzas and the cost. c) Use the number machine to find the cost of 36 pizzas. CR WHS 10/11 DECEMBER MATHS HOMEWORK 1. What number will come out of each number machine? a) 4 → double → ? b) 7 → add 5 → ? c) 12 → subtract 5 → d) 5 → multiply by 8 → ? e) 18 → divide by 2 → ? 2. ? What number will come out of each number machine? a) 13 → double → b) 10 → halve → c) 24 → subtract 9 → d) 3 → multiply by 5 → CR WHS 10/11 ? ? ? ? e) 18 → add 12 → ? 3. What number would you put in each number machine? a) ? → treble → 9 b) ? → quarter → c) ? → subtract 8 → d) ? → multiply by 8 → 40 e) ? → add 10 → 4 20 100 DECEMBER MATHS HOMEWORK continued 4. What number would you put in each number machine? a) ? → add 13 → 27 b) ? → subtract 3 → c) ? → halve → d) ? → multiply by 7 → e) ? → divide by 4 → 25 12 56 2 5. These strips are from the multiplication tables. Find the value of each letter. a) 3, 6, 9, y, 15, 18. b) 4, 8, 12, 16, 20, p, 28, 32. c) 5, 10, t, 20, 25, 30. CR WHS 10/11 d) 20, 18, 16, s, 12, 10. e) 42, 35, w, 21, 14, 7. 6. Find the value of each letter. a) 3 → + t → 12 b) 4 → x g → 20 c) 17 → - s → 12 d) 35 → ÷ k → 7 e) 27 → + p → 45 DECEMBER MATHS HOMEWORK continued 7. What is the value of the expression m + 5 when a) m=4 b) m = 12 c) m = 21 d) m=0 e) m = 13 f) m = 42 g) m = 100 h) m=1 8. What is the value of the expression k - 11 when a) k = 11 b) k = 14 c) k = 25 d) k = 40 e) k = 52 f) k = 60 g) k = 99 h) k = 100 9. What is the value of the expression 4y when a) y=2 b) y=8 c) y = 12 d) y = 15 e) y = 22 f) y = 30 g) y = 49 h) y = 60 (remember! 4y means 4 x y) CR WHS 10/11 ? ? ? (you may use a calculator) 10. What is the value of the expression 6h when a) h=0 b) h=3 c) h = 11 d) h = 17 e) h = 24 f) h = 40 g) h = 59 h) h = 90 (remember! 6h means 6 x h) (you may use a calculator) DECEMBER MATHS HOMEWORK continued 11. Write down the missing expressions: (for example w → x 2 → + 5 is written as 2w + 5) a) p → x 5 → + 4 b) h → x 3 → - 7 c) y → x 4 → + 13 d) c → x 6 → - 11 e) k → x 10 → + 1 12. Write down the missing expressions: (for example w → x 2 → + 5 is written as 2w + 5) a) z → x 11 → + 7 b) p → x 8 → - 17 c) r → x 9 → + 16 CR WHS 10/11 ? d) t → x 12 → - 13 e) s → x 15 → + 2 13. What is the value of: a) 2m + 3, if m = 7? b) 3y – 2, if y = 4? c) 4z + 7, if z = 5? d) 6t – 2, if t = 1? e) 9f + 7, if f = 0? DECEMBER MATHS HOMEWORK continued 14. What is the value of: a) 3c + 4, if c = 6? b) 2j – 5, if j = 10? c) 6g + 7, if g = 3? d) 7y – 2, if y = 1? e) 10b + 9, if b = 0? 15. If a = 3 and b = 4, find the value of: i) 2b + 7 ii) 3a – 4 iii) 5a + 4 iv) 6b – 3 v) 2a + b vi) 3a + 2b ************* CR WHS 10/11 16. Simplify the following algebraic expressions: i) a+a+a+a+a+a ii) b+b+b+b iii) y+y+y+y+y–y–y iv) c+c+c+c–c–c v) g–g+g+g+g–g–g vi) k–k+k–k+k–k DECEMBER MATHS HOMEWORK continued 17. Simplify the following algebraic expressions: i) a+a+a+b+b ii) c+c+c+c+d+d+d iii) h+h+h+m+h+m iv) s–s+r+r+s+s-r v) e–e–e+e+e+f+f+e–f–f–f 18. Simplify the following algebraic expressions: i) a + 2a + b + 3b ii) 2c + c + d - d + 4d iii) h + 5h - h + m + h + 7m CR WHS 10/11 iv) 4s – 2s + r + 6r + s - r vi) e + 3e – e + 2f + 5f + e – f JANUARY MATHS HOMEWORK 1. Write the following numbers in tally marks. a) 3 2. b) 5 8 d) 14 e) 21 Write the following tally marks as numbers. a) I I I I d) I I I I 3. c) b) IIII IIII IIII III I c) e) IIII IIII IIII IIII IIII Look at this tally table. It shows the favourite food of a group of children: Food CR WHS 10/11 Tally Number II IIII pizza IIII chicken IIII III salad IIII I lasagne IIII IIII steak III Copy this table neatly into your jotter. Please use a ruler! Now fill in the numbers in the “Number” column. JANUARY MATHS HOMEWORK continued 4. Look at this tally table. It shows the favourite colours of a group of children: Food Tally Number red 7 blue 11 green 16 yellow 9 purple 14 Copy this table neatly into your jotter. Please use a ruler! Now fill in the tally marks in the “Tally” column. CR WHS 10/11 5. A group of people was asked to write down their favourite drink. Here are their replies: cola water water lemonade irn bru fanta irn bru cola cola fanta fanta irn bru cola water cola fanta water water cola cola Draw a table in your jotter for these answers, showing the headings “drink”, “tally” and “number”. Please use a ruler! JANUARY MATHS HOMEWORK continued 6. Now look back at question 5 and complete the table which is already in your homework jotter. Fill in the “tally” column. Fill in the “number” column. 7. Look at this pictograph carefully: CR WHS 10/11 a) How many pupils attended the club on Monday? b) How many pupils attended the club on Tuesday? c) How many more pupils attended the club on Wednesday than on Friday? d) How many pupils attended the club altogether? e) Draw the entry for Thursday if 11 pupils attended the club that day. JANUARY MATHS HOMEWORK continued 8. Look at this pictograph carefully! The pictograph shows the number of goals scored by a team each month. a) b) c) d) How many goals were scored in August? How many goals were scored in October? How many more goals were scored in September than in December? In which month did the team score 10 goals? CR WHS 10/11 9. The number of pupils taking part in events on Sports Day is shown below: a) b) c) d) e) How many took part in the High Jump? How many took part in the Long Jump? How many took part in the 200m? How many more took part in the 100m than the 800m? 22 pupils took part in the Relay Race. Draw the symbols to represent this. JANUARY MATHS HOMEWORK continued 10. This table shows the fruit preferred by an S1 class in Fredforest High School. Apple 5 Orange 5 Pear 4 Grape Banana 3 2 a) Draw a pictograph to show this information, using your own key. b) How many pupils were in this class altogether? 11. The bar graph below shows the number of pets owned by four Primary 7 classes in a local school. CR WHS 10/11 a) Write down the number of each type of pet owned. b) How many four-legged pets are owned altogether? 12. This bar graph shows the number of drinks bottles sold at a school tuck shop. a) What was the most popular drink sold? b) What was the least popular drink sold? c) How many bottles of cola were sold? d) How many fewer bottles of water were sold than orange? JANUARY MATHS HOMEWORK continued 13. The number of packets of crisps sold from a vending machine one day was recorded as follows: a) b) c) d) e) What was the most popular flavour? What was the least popular flavour? How many more cheese crisps were sold than beef crisps? How many fewer salt crisps were sold than chicken crisps? How many packets of crisps were sold altogether? CR WHS 10/11 14. Look back at question 10. Draw a bar graph for this information. Remember to draw and label your axes clearly and carefully. Give your bar chart a title. 15. The list below shows the results of a survey asking people the name of their favourite flavour of ice cream. Vanilla – 12 Strawberry – 10 Chocolate – 11 Mint - 6 Toffee – 8 Raspberry – 2 Draw a bar graph for this information. (remember advice in Qu.14!) JANUARY MATHS HOMEWORK continued 16. a) b) c) d) e) Pupils were asked to name their favourite schoolday. The results are shown in this table: What was the least favourite schoolday? What was the favourite schoolday? How many more pupils preferred a Friday to a Tuesday? How many fewer pupils preferred a Wednesday to a Thursday? How many pupils were asked altogether? 17. Mr and Mrs Thomson had a meal in the “Feast of Delights” restaurant. The table shows what they both chose: CR WHS 10/11 a) b) c) d) e) What did Mrs Thomson have for her main course? What did Mr Thomson choose for his sweet? Who had cake for a sweet? Write down what each person had for their starter. From the choices given in the table, what would you have chosen if you had been invited? JANUARY MATHS HOMEWORK continued 18. a) b) c) d) A school sports day has a timetable as shown: When does the 200m race start? Where does the javelin competition take place? What competition will be held in the Games Hall? Cathy goes to the Track at 1pm. What is she watching? 19. CR WHS 10/11 The local cinema times are shown in this advertisement: What film is showing in: a) Studio 2 at 9pm b) Studio 1 at 7pm c) Studio 3 at 7pm Which Studio is showing: d) Batgirl at 5pm e) Batgirl at 7pm f) Supermum at 9pm JANUARY MATHS HOMEWORK continued 20. Theatre ticket prices are shown in the table below: How much would it cost for a) b) c) d) one adult stalls ticket on a Friday? one child circle ticket on a Tuesday? One adult upper circle ticket on a Wednesday? One child stalls ticket on a Monday? CR WHS 10/11 What type of tickets can you buy for e) £8? f) £7? g) £3? JANUARY MATHS HOMEWORK 1. Shown are the times, in minutes, taken to complete an obstacle course: Organise the data into a frequency table as shown below. (Remember to use a ruler!) 2. A class was asked to name their favourite sportswear label. CR WHS 10/11 The replies are shown below: a) Organise the data into a frequency table as shown below. (Remember to use a ruler!) b) How many pupils were in this class? JANUARY MATHS HOMEWORK continued 3. Twenty four boxes of sweets are opened and the number of sweets in each box is counted. The results are shown below: 44 41 39 41 42 38 41 44 42 39 41 41 40 40 42 42 41 38 42 41 40 44 41 41 a) Copy (RULER!) and complete the frequency table shown below: b) How many boxes contained 40 sweets? c) How many boxes contained less than 40 sweets? CR WHS 10/11 4. This pictograph shows the number of trees that were planted in a local park. a) b) c) d) e) How many trees were planted in Week 2? How many trees were planted in Week 5? How many more trees were planted in Week 3 than in Week 1? How many fewer trees were planted in Week 4 than in Week 5? How many trees were planted altogether? JANUARY MATHS HOMEWORK continued 5. The pictograph below shows the number of pupils who attended a “Sixties Music Special” in the Music department at lunchtime: a) b) c) d) How many pupils attended on Monday? How many pupils attended on Thursday? How many more pupils attended on Tuesday than on Friday? How many fewer pupils attended on Wednesday than on Monday? e) Draw the symbols to represent 11 pupils. 6. This pictograph shows the number of pupils who needed a new jotter from a chosen classroom: CR WHS 10/11 a) How many pupils needed jotters on Tuesday? b) How many pupils needed jotters on Friday? c) How many more pupils needed jotters on Wednesday than on Monday? d) How many fewer pupils needed jotters on Thursday than on Tuesday? e) Draw the symbols to represent 10 pupils. JANUARY MATHS HOMEWORK continued 7. Pupils were asked to name their favourite food. The results are shown in the bar graph below: a) b) c) d) e) f) How many pupils chose soup? How many pupils chose chips? What was the favourite food? How many more pupils chose beans than sweets? How many pupils were asked altogether? Which food would you have chosen? CR WHS 10/11 8. This bar graph shows the number of bags of crisps sold at a school tuck shop one day: a) What was the favourite flavour of crisps sold? b) What was the least favourite flavour of crisps sold? c) How many bags of beef crisps were sold? d) Which flavour had a sale of 10 bags? e) How many bags were sold altogether? f) Which flavour would you have chosen? JANUARY MATHS HOMEWORK continued 9. A nursery school group were asked about the pets they had at home. The results are shown below: Cat Dog Rabbit Hamster Snake Budgie 6 8 3 7 1 6 a) Draw a bar graph to show this information. (Remember to use a ruler! Draw and label your axes clearly and carefully. Give your bar graph a title.) b) Do you have any pets? What are they? 10. Shoppers in M and H were asked about their favourite colour. The results are shown below: CR WHS 10/11 Red Blue Green Black Purple Pink 15 20 8 18 14 6 a) Draw a bar graph to show this information. (Remember to use a ruler! Draw and label your axes clearly and carefully. Give your bar graph a title.) b) What is your favourite colour? JANUARY MATHS HOMEWORK continued 11. A sample of makes of car was taken in the school car park one afternoon. The results were as follows: Fiat Vauxhall Peugeot Ford Fiat Ford Chevrolet Vauxhall Ford Vauxhall Nissan Nissan Renault Fiat Renault Vauxhall Fiat Chevrolet Renault Fiat Nissan Ford Chevrolet Renault Vauxhall a) Draw a frequency table, using tally marks to calculate the frequency. b) Draw, and label carefully, a bar chart. CR WHS 10/11 (ruler!) 12. People were asked to name their favourite holiday destination. The results were as follows: a) Draw a frequency table, using tally marks to calculate the frequency. b) Draw, and label carefully, a bar chart. JANUARY MATHS HOMEWORK continued (ruler!) 13. This line graph shows the number of newspapers delivered by a paper boy one week. a) b) c) d) Write down the number of newspapers delivered each day. How many deliveries were made altogether? On which days did the boy deliver more than 32 papers? On which days did the boy deliver less than 32 papers? CR WHS 10/11 14. The following line graph shows the number of cars per hour that were passing over a bridge one Monday. a) b) c) d) e) How many cars passed over the bridge at 7am? How many cars were passing over the bridge at 11am? At what time were there 350 cars per hour going over the bridge? Between which times did the number of cars per hour decrease? Why do you think that the number of cars per hour was greatest at 9am? JANUARY MATHS HOMEWORK continued 15. Claire recorded her height from the age of 6 years up to the age of 16 years. Her information is recorded in the table below: Draw and label a neat line graph to show this information accurately. (remember – use a ruler!) 16. Boris recorded how many flies his pet spider ate every day. His information is recorded below: CR WHS 10/11 Draw and label a neat line graph to show this information accurately. (remember – use a ruler!) 17. This pie chart, with eight sectors, shows where pupils go for lunch. a) What fraction of pupils have a packed lunch? b) What fraction of pupils have a school dinner? c) Out of the 40 pupils, how many went to the shops/van? d) Out of the 40 pupils, how many went home? JANUARY MATHS HOMEWORK continued 18. 50 people were asked to name their favourite holiday destination. The results are shown in this pie chart. a) b) c) d) e) How many sectors is this pie chart split into? What fraction of people chose Italy? What fraction of people chose America? How many people chose France? How many people chose Spain? 19. 100 people were asked to name their favourite meal. The results are shown in this pie chart. a) b) c) d) e) How many sectors is this pie chart split into? What fraction of people chose Breakfast? What fraction of people chose Supper? How many people chose Lunch? How many people chose Dinner? CR WHS 10/11 20. Theatre ticket prices are shown in this table: How much would it cost for: a) b) c) d) One Adult Stalls ticket on a Friday? One Child Circle ticket on a Monday? Two Adult Upper Circle tickets on a Wednesday? One Adult and one Child Stalls tickets on a Tuesday? What type of tickets could William buy for: e) £15? JANUARY MATHS HOMEWORK continued DO YOU REMEMBER? Mean, Median, Mode, Range. 21. Calculate the mean for each of the following lists: a) 3, 5, 7, 12, 21 b) 18, 27, 5, 26, 1, 1 c) 13, 7, 29, 49, 6, 7, 55, 2 d) 65, 39, 4, 10, 12, 89, 1, 8 22. Calculate the median for each of the following lists: a) 1, 1, 3, 4, 5, 7, 12 CR WHS 10/11 b) 8, 12, 15, 20, 33, 33, 35, 41, 42 c) 30, 35, 40, 40, 45, 45 d) 13, 13, 15, 17, 18, 23 23. Calculate the mode AND range for each of the following lists: a) 1, 1, 2, 3, 4, 4, 4, 5 b) 11, 12, 12, 16, 17, 17, 17, 17, 18, 18 c) 20, 20, 25, 25, 26, 27, 28, 28, 28, 28, 29, 29 d) 60, 60, 60, 62, 64, 64, 64, 64, 64, 66, 68 FEBRUARY MATHS HOMEWORK 1. Use these words: to give the times on these clocks: 2. This clock face shows a time of “20 past 7”. Write down the times on these clock faces: CR WHS 10/11 3. The time on this clock is “3: 40” or “20 to 4”. Write down the times on these clock faces in two ways: FEBRUARY MATHS HOMEWORK continued 4. Write each of the following digital clock times in words: a) 1: 00 5. 2: 15 c) 4: 30 d) 7: 45 Write each of the following digital clock times in words: a) 2: 25 6. b) b) 4: 35 c) 6: 40 d) 9: 55 Draw a small digital clock face for each of these : CR WHS 10/11 7. The time on the clock opposite shows “quarter past 8 at night” or “8. 15 pm” Write each of the following times in the two ways noted above: FEBRUARY MATHS HOMEWORK continued 8. Write each of the following times in the two ways noted in question 7. 9. Part of a bus timetable is shown below: Glasgow 10. 50 am Mearns Cross 11. 40 am Kilmarnock 12. 20 pm CR WHS 10/11 Ayr a) b) c) d) e) 1. 10 pm Where was this bus at twenty minutes to twelve in the morning? Where was this bus at ten minutes past one in the afternoon? Write the time at Glasgow in words. Write the time at Kilmarnock in words. This bus left Ayr at twenty-five to two, to return to Glasgow. Write this time as it would look in the timetable above. 10. Steven wrote lots of times on cards. Copy them out in order, starting with the earliest time first. FEBRUARY MATHS HOMEWORK continued 11. a) b) c) d) e) 12. a) b) c) d) e) How many minutes is it from: 9. 30 am until 9. 50 am? 11. 30 am until 11. 45 am? 6. 35 am until 7. 00 am? 10. 05 am until 10. 50 am? 8.30 am until 9.10 am? Write down the time that is: ten minutes after 3:40 fifteen minutes after 8.15 pm five minutes before 11:00 fifteen minutes before 6.30 am half an hour after 5:30 CR WHS 10/11 13. Write down the name of the month or months that: a) b) c) d) e) 14. comes before May. comes after September. has 28 days or 29 days. have 30 days. have 31 days. What is the: a) b) c) d) e) fourth month? sixth month? eighth month? ninth month? twelfth month? FEBRUARY MATHS HOMEWORK continued 15. The date, 22nd of May 1959, can be written using six digits as follows: 22. 05. 59 ( or 22/ 05/ 59 ). Write the following dates, using six digits as above: a) b) c) d) e) f) 21st of April 1959 19th of January 1946 5th of September 1985 13th of October 1988 1st of January 2006 Your own birthday! CR WHS 10/11 FEBRUARY MATHS HOMEWORK 1a) b) c) d) e) f) g) h) i) How many days are there in May? What is the day before Friday? How many seconds are there in a minute? What is the seventh month? Which day is two days after Saturday? How many minutes are there in an hour? Which month has the fewest number of days? What is the date of the day after 30th April? How many hours are there in a day? 2. Here is a selection of “sell-by” dates on packets of food. Write each date in words. a) 08/ 01/ 03 b) 12. 4. 2005 c) 9/3/2001 d) 25 AUG 09 e) JAN 10 f) 03 – 2011 CR WHS 10/11 3. How many a) b) c) d) e) f) seconds are there in 4 minutes seconds are there in half a minute minutes are there in 2 hours minutes are there in 5 hours hours are there in 3 days hours are there in one week ? 4. What is a) b) c) d) e) f) g) h) 75 seconds in minutes and seconds 82 seconds in minutes and seconds 100 minutes in hours and minutes 150 minutes in hours and minutes 30 hours in days and hours 50 hours in hours and days 9 days in weeks and days 20 days in weeks and days ? (you may use a calculator) FEBRUARY MATHS HOMEWORK continued 5. 4.30pm can be written as “half past four in the afternoon”. Write the following times in words. a) b) c) d) e) f) g) h) 6. 7 am 10.30 pm 5.25 pm 9.30 am 12.30 pm 11.20 pm 5.15 am 12.10 am 0600 means “six o’clock in the morning”. Write the following times in words. a) b) c) d) e) 0800 1400 0915 1930 2310 CR WHS 10/11 f) g) h) 7. 1625 0010 1210 Change each of these 12-hour times into 24-hour times. a) d) 8. 5 am 11.30 pm b) 3 pm c) 8.25 am e) 6.30 am f) 7.10 pm Change each of these 24-hour times into 12-hour times. a) 0615 b) 1320 d) 1825 e) 0435 FEBRUARY MATHS HOMEWORK continued 9. c) 1010 f) 2140 What time is a) b) c) d) e) f) 10. a) b) c) d) e) f) 30 minutes after 8.30 am 10 minutes before 13:50 5 minutes before 12:00 35 minutes after 10.30 pm one hour after 11.30pm two hours before 01:00 ? What length of time has passed in each of the following? 4 am until 6.30 am 13 40 until 14 50 8.50 pm until 10 pm 17 50 until 18 25 11.30 am until 1 pm 22 30 until 00 00 CR WHS 10/11 11a) George arrives at the bus stop at 8.50 am. The bus is due to arrive at 9.05 am. How long does he have to wait? b) Zoe sat down to watch “River City” at 1955. She got up to answer her phone at 2040. For how long was she watching the television? c) Our parents’ night appointment for Maths was at 6 pm, but we wanted to be there ten minutes earlier. At what time did we arrive for our Maths appointment? d) I went to the dentist at 09:15, but had to wait for forty minutes. At what time did the dentist see me? e) My favourite DVD is 2 hours and 25 minutes long. It ended at 11 pm. When did I start watching it? FEBRUARY MATHS HOMEWORK continued 12a) Write out your Monday timetable, showing the starting time of each period, in both 12-hour time and 24-hour time. (You should have seven periods!) b) For how many minutes does each period last? c) How many minutes, in total, are you in class? d) How many hours and minutes is this? 13. Here is part of a time-sheet for a factory worker: DAY START TIME FINISH TIME Monday Tuesday 8 am 8 am 1 pm 3 pm CR WHS 10/11 HOURS WORKED Wednesday Thursday Friday 8 am 12 noon 8 am 12 noon 5.30 pm 4.30 pm a) Which was the shortest working day? b) Which was the longest working day? c) Calculate the number of hours worked each day. d) Calculate the total number of hours worked in the week. FEBRUARY MATHS HOMEWORK continued 14. This is part of a timetable for three trains. It shows when the trains arrive at each station. Berwick Newcastle Durham York TRAIN 1 08 20 09 25 09 50 10 20 TRAIN 2 13 30 14 35 15 05 15 30 TRAIN 3 16 40 17 45 ... 18 35 a) The first train arrives in Durham at 09 50. When does the second train arrive in Durham? b) How long does the third train take to get from Berwick to Newcastle? c) Which train has the shortest journey time from Berwick to York? d) Maggie arrives in Newcastle at 2 pm. How long does she have to wait for Train 2 to depart? e) Roger arrives in Berwick at 1.10 pm. He gets on the first train he can to go to York. When will he get there? CR WHS 10/11 15. The following is an extract from a television schedule: 6.30 pm 7.05 pm 8.00 pm 8.50 pm 9.00 pm 9.45 pm 10.05 pm a) b) c) d) e) Evening News West Enders Top of the Pops Spring Watch Cook With Gordon Scottish News Late Night Weather How long does the “Evening News” last? How long does “Top of the Pops” last? You switch the TV on at ten past nine. What programme is on? “Spring Watch” is running 15 minutes late. When did it start? I watched every programme from “West Enders” through to “Scottish News”. How long was I watching for? MARCH MATHS HOMEWORK 1. Look at this seating plan: JOHN CATH JILL SCOTT BRIAN SUE AMY ANDREW CRAIG TEACHER From where the teacher is standing: a) Who is in front of Scott? b) Who is behind Brian? c) Which two pupils are in front of Jill? d) Who is to the left of Andrew? CR WHS 10/11 e) Which two pupils are to the right of John? 2. Look at the seating plan in Question 1 again! Who is: a) Two seats to the right of Amy? b) One seat to the left of Brian? c) Two seats in front of Cath? d) One seat behind Craig? e) Diagonally opposite John? f) Diagonally opposite Jill? MARCH MATHS HOMEWORK continued Look at this picture carefully. You will need it for Questions 3 and 4. 3a) What is above the ham? CR WHS 10/11 b) What is two above the bacon? c) What is three below the lamb? d) What is two up and one to the right of the pie? e) Describe where the chops are in relation to the roast. 4a) What is below the salami? b) What is two below the turkey? c) What is three above the kebabs? d) What is two down and one to the left of the chops? e) Describe where the pie is in relation to the turkey. MARCH MATHS HOMEWORK continued 5. A man is taking photographs of the babies in a nursery group. He takes baby Brenda’s photograph first. a) b) c) d) 6. If he turns clockwise, whose turn is it next? If he turns anticlockwise, whose turn is it next? If he turns six places clockwise, whose turn is it? If he turns three places anticlockwise, whose turn is it? Lucy is in charge of a group of children as shown below: CR WHS 10/11 a) From Chalmers, Lucy makes a quarter turn anticlockwise. Who is she pointing to? b) Lucy now points to Richard. If she makes a half turn then who is she pointing to? c) Lucy now points to Christina. If she makes a quarter turn clockwise then who is she pointing to? d) Lucy now points to Jim. If she makes a half turn then who is she pointing to? MARCH MATHS HOMEWORK continued Look at these instructions carefully. Now write clear instructions for the following pathways in Questions 7 and 8. 7. CR WHS 10/11 8. MARCH MATHS HOMEWORK continued Look at the following map carefully. You will need it to answers questions 9 and 10. CR WHS 10/11 9. Nick wants to go from his house to the police station. Copy and complete these directions for his journey. “Come out of Nick’s house, turn right into …………..Street, turn 2nd ………… into …………… Road. The police station is the second building on your …………….” 10. Nick wants to go from the library to the restaurant. Copy and complete these directions for his journey. “Come out of the library, turn ……………..into ……………..Street, turn 2nd …………… into …………….Road. The restaurant is the building on your ………………. MARCH MATHS HOMEWORK continued 11a) Sketch a compass and mark “North”, “South”, “West” and “East” on it. Which direction would you be facing if you were: b) facing North and turned through 180 degrees? c) facing South and turned 90 degrees clockwise? d) facing West and turned 90 degrees anticlockwise? 12. Look back at your compass drawing in question 11 to help you with this question! How many degrees have you turned through if you were facing a) East and turned clockwise to face South? b) North and turned clockwise to face South? CR WHS 10/11 c) West and turned anticlockwise to face South? d) South and made a complete turn to face South again? 13. Look back at your compass drawing in question 11 to help you with this question! How did you turn if you a) started at North and finished at East? b) started at West and finished at South? c) started at South and finished at East? NOTE! There are TWO possible answers for each part of this question. MARCH MATHS HOMEWORK continued Read this carefully! Now write your instructions for the following two mazes. 14. CR WHS 10/11 15. MARCH MATHS HOMEWORK continued 16. Look at this coordinate grid carefully. Write down the coordinate positions of the: a) cockerel b) chick c) square d) cross e) circle CR WHS 10/11 17. Look at this coordinate grid carefully. Write down the coordinate positions of the: a) bull b) pig c) square d) cross e) circle MARCH MATHS HOMEWORK continued 18. Look at this coordinate grid carefully. What are the coordinates of: CR WHS 10/11 a) H b) M 19. In the grid above: c) A d) G? c) B d) D? What are the coordinates of: a) C b) E 20. In your homework jotter, sketch a coordinate grid like the one in Question 18. Now put a cross at the following points: a) C1 b) D2 c) E4 d) MARCH MATHS HOMEWORK 1. Look at this seating plan: JOHN CATH JILL SCOTT BRIAN SUE AMY ANDREW CRAIG TEACHER From where the teacher is standing: a) b) c) d) e) f) Who is in front of Scott? Who is behind Brian? Which two pupils are in front of Jill? Who is to the left of Andrew? Which two pupils are to the right of John? Who is diagonally opposite Amy? CR WHS 10/11 F3 2. Sketch a compass and mark on it the points N, S, E and W. What direction will I face if I am facing a) b) c) d) 3. North and turn 90 degrees clockwise? East and turn 90 degrees clockwise? West and turn 90 degrees anticlockwise? South and make a half turn? Look back at your compass drawing in question 2 to help you with this question! How did you turn if you a) started at North and finished at East? b) started at West and finished at South? NOTE! There are TWO possible answers for each part of this question. MARCH MATHS HOMEWORK continued 4. Sketch a compass and mark on it the points N, S, E, W. Now add on the points NW, SW, NE and SE. Which point lies half-way between a) b) c) d) 5. North and East? West and South? North-East and South-East? South-West and North-West? Look at the following grid. It shows the house numbers on a new estate: CR WHS 10/11 1 3 5 7 9 2 4 6 8 10 11 13 15 17 19 North a) b) c) d) e) Which houses are N of No. 13? Which house is SW of No. 10? Which house is NE of No. 4? Which house is N of No. 17 and NE of No. 15? Which house is S of No. 3 and SE of No. 1? 6. Look back at your compass drawing in question 5 to help you with this question! a) Sketch an eight-point compass and mark on it the angles associated with each point. How many degrees are there between: b) c) d) e) N and NE turning clockwise. W and NE turning clockwise. NW and SW turning anticlockwise. SE and W turning clockwise. MARCH MATHS HOMEWORK continued 7. Look back at your compass drawing in question 6 to help you with this question! What direction would you be facing if you start from: a) b) c) d) e) 8. a) b) c) d) S and turn 90 degrees clockwise? N and turn 45 degrees clockwise? SW and turn 135 degrees anticlockwise? NE and turn 225 degrees anticlockwise? NW and turn 135 degrees anticlockwise? You are going to draw a coordinate grid. Sketch the following carefully, using a RULER! An x-axis with a scale from zero to 10. A y-axis with a scale from zero to 7. What do you call the point (0,0)? Is the x direction horizontal or vertical? CR WHS 10/11 e) 9. Is the y direction horizontal or vertical? Look at this coordinate grid carefully. Write down the coordinates of: a) b) c) d) e) f) g) h) i) A B C D E F G H I Write your answer as, for example, T ( 2, 6 ). MARCH MATHS HOMEWORK continued 10. Look at this coordinate grid carefully. Write down the coordinates of: a) b) c) d) e) f) g) h) i) K L M N P Q R S T Write your answer as, for example, A ( 3 , 2 ). 11. Look carefully at the grid in Question 9. Which point or points has/have CR WHS 10/11 a) b) c) d) e) f) 12. an x coordinate of 1? a y coordinate of 9? an x coordinate of 8? a y coordinate of 3? an x coordinate of zero? a y coordinate of zero? Look carefully at the grid in Question 10. Which point or points has/have a) b) c) d) e) f) an x coordinate of 5? a y coordinate of 5? an x coordinate of 4? a y coordinate of 7? an x coordinate of zero? a y coordinate of zero? MARCH MATHS HOMEWORK continued 13. Look at this coordinate grid. a) b) c) d) e) f) What are the coordinates of P? Which point has coordinates (10 , 7)? Which point has the same x-coordinate as U? Which point has the same y-coordinate as K? Which point lies on the y-axis? Which point has the same x and y coordinate? 14. Look at this coordinate grid. a) Which point has coordinates: i) (9,3) ii) (2,5) iii) ( 3 , 10 ) Write down the coordinates of: i) F ii) B iii) W b) CR WHS 10/11 c) d) Which point is on the x axis? Which point is on the y axis? 15. Draw a 5 by 5 coordinate grid, as shown, in your jotter. (USE A RULER!) a) b) c) d) e) Plot the points D ( 1 , 1 ), E ( 1 , 5 ) and F ( 5 , 5 ). Plot the point G so that DEFG is a square. Write down the coordinates of this point G. Draw in the two diagonals of this square, DF and EG. Write down the coordinates of the point where these two diagonals cross one another. MARCH MATHS HOMEWORK continued REMEMBER TO USE A RULER! 16. Draw a coordinate grid, like the one in question 15. a) b) c) d) Plot the points P ( 1 , 2 ) Q ( 1 , 5 ) R ( 5 , 5 ) S ( 5 , 2 ) Join P to Q to R to S to P. Name this shape. Draw in both diagonals and mark the point T, where these two lines cross. What are the coordinates of T? 17. Draw a coordinate grid, with the numbers 0 to 10 on both axes. a) b) c) Plot A ( 1 , 9 ) B ( 7 , 9 ) C ( 7 , 2 ) D ( 1 , 2 ) . Join A→B→C→D→A. What shape have you drawn? Draw in both diagonals and mark the point E, where these two lines cross. What are the coordinates of E? d) CR WHS 10/11 18. Draw a coordinate grid, with the numbers 0 to 7 on both axes. a) b) c) Plot A ( 2 , 1 ) B ( 4 , 1 ) C ( 5 , 2.5 ) D ( 4 , 4 ) E ( 2 , 4 ) and F ( 1 , 2.5) . Join A→B→C→D→E→F→A. What shape have you drawn? 19. Draw a coordinate grid with the numbers 1 to 10 on both axes. a) b) c) Draw a triangle of your choice clearly on this grid. Label each vertex (corner) with a different capital letter. Write down the coordinates of each of these points. 20. Repeat Question 19, but draw a kite of your choice. MARCH MATHS HOMEWORK continued LET’S TRY SOME NEGATIVE COORDINATES NOW! REMEMBER TO USE A RULER! 21. a) b) c) You are going to draw a coordinate grid. Place the numbers carefully on each axis. Draw the x-axis with a scale from –5 to 5. Draw the y-axis with a scale from –4 to 4. Now plot and label accurately the following points: A(3,2) B ( -4 , 3 ) C ( -2 , -3 ) D ( 5 , -4 ) CHECK! Have you plotted one point in each quadrant? 22. You are going to draw another coordinate grid. Take a new page in your homework jotter if you need to! Place the numbers carefully on each axis. CR WHS 10/11 a) b) c) Draw the x-axis with a scale from –8 to 8. Draw the y-axis with a scale from –6 to 6. Now plot and label accurately the following points: E(5,4) F ( -6 , 3 ) G ( -4 , -2 ) H ( 7 , -6 ) CHECK! Have you plotted one point in each quadrant? 23. a) b) c) You are going to draw another coordinate grid. Take a new page in your homework jotter if you need to! Draw the x-axis with a scale from –10 to 10. Draw the y-axis with a scale from –9 to 9. Now plot and label accurately the following points: S ( 8 , -4 ) J ( -2 , -1 ) T(7,7) K ( 10 , 5 ) U ( -9 , 8 ) L ( 8 , -5 ) V ( -3 , -5 ) M ( -1 , 9 ) CHECK! Have you plotted two points in each quadrant? APRIL MATHS HOMEWORK REMEMBER! Your answers should always have letter = number. 1. Solve these equations: a) b) c) d) e) f) y + 4 = 10 g + 8 = 21 r + 5 = 30 7 + w = 35 6 + s = 40 12 + h = 50 2. Solve these equations: a) b) c) d) e) f) w – 6 = 10 r – 3 = 12 b – 7 = 20 15 – t = 10 25 – h = 18 32 – s = 20 CR WHS 10/11 3. Solve these equations: a) b) c) d) e) f) y + 9 = 20 h – 4 = 30 20 + j = 42 34 – g = 21 t + 12 = 63 k – 12 = 61 4. Solve these equations: a) 3c = 12 b) 4y = 24 c) 8e = 64 d) 10k = 100 e) 9f = 63 f) 7n = 28 APRIL MATHS HOMEWORK continued REMEMBER! Your answers should always have letter = number. 5. Solve these equations: a) b) c) d) e) f) 9g = 108 8h = 96 5n =100 4y = 64 3w = 42 6q = 96 6. Solve these equations, showing your working: a) b) c) d) e) f) 3d + 1 = 13 2g + 3 = 15 4e + 5 = 41 8y + 1 = 81 9c + 7 = 34 6z + 1 = 1 CR WHS 10/11 7. Solve these equations, showing your working: a) b) c) d) e) f) 4 + 2y = 16 3 + 4r = 7 8 + 3w = 8 12 + 6t = 36 10 + 9h = 37 7 + 11t = 29 8. Solve these equations, showing your working: a) b) c) d) e) f) 7g – 1 = 27 3w – 4 = 11 5h – 2 = 28 10t – 7 = 93 8s – 3 = 5 9h – 10 = 80 APRIL MATHS HOMEWORK continued REMEMBER! Your answers should always have letter = number. 9. Solve these equations, showing your working: a) b) c) d) e) f) 12 – 2j = 2 15 – 3r = 9 20 – 4d = 8 24 – 7e = 17 30 – 6c = 0 42 – 10p = 12 10. Solve these equations, showing your working: a) b) c) d) e) f) 3u + 4 = 13 5f – 6 = 24 4t + 9 = 9 3d – 11 = 16 7w + 1 = 64 10h – 3 = 87 CR WHS 10/11 11. a) b) c) d) e) f) Solve these equations, showing your working: 4 + 3t = 13 6 – 2f = 4 12 + 6t = 18 20 – 2j = 20 34 + 5r = 49 66 – 7s = 3 APRIL MATHS HOMEWORK continued For each picture in the following questions • form an equation • solve the equation • answer the question 12. 8 litres are poured out, leaving 12 litres. How much does the flask hold when full? 13. Total value of coupons is £24. What is the value of one? 14. The four bottles hold 28 litres in total. CR WHS 10/11 How much liquid is in each bottle? 15. The scales balance. What is the unknown weight? APRIL MATHS HOMEWORK 1. Find each hidden number. a) + 6 9 b) + 7 = 15 c) + 11 = 20 d) + 18 = 32 e) + 21 = f) + 30 = 100 2. = 40 Find each hidden number. a) - 3 = 7 b) - 7 = 10 c) - 10 = 10 d) - 6 CR WHS 10/11 = 14 e) - 20 = 20 f) - 25 = 5 3. Find the missing number. a) 7 + ? = 10 b) 5 + ? = 12 c) 8 + ? = 16 d) 12 + ? = 23 e) 18 + ? f) 30 + ? = 5 = 20 APRIL MATHS HOMEWORK continued 4. Find the missing number. a) 5 - ? = 2 b) 8 - ? = 3 c) 12 - ? = 6 d) 19 - ? = 10 e) 22 - ? = 16 f) 30 5. Find each hidden number. - ? = 15 a) x 2 = 4 b) x 3 = 12 c) x 4 = 20 d) x 5 = 30 CR WHS 10/11 e) 6. x 8 = 64 f) x 9 = 90 Find each hidden number. a) ÷ 2 = 4 b) ÷ 3 = 3 c) ÷ 5 = 2 d) ÷ 8 = 4 e) ÷ 6 = 5 f) ÷ 10 = 7 APRIL MATHS HOMEWORK continued 7. Find the missing number. a) 5 x c) 3 x ? e) 10 x 8. Find the missing number. a) 16 ÷ ? = 4 b) 54 ÷ ? = 9 c) 20 ÷ = 4 d) 32 ÷ ? = 4 CR WHS 10/11 ? ? ? = 10 b) 8 x ? = 32 = 21 d) 6 x ? = 30 = 100 f) 7 x ? = 7 e) 42 ÷ ? = 7 f) 9. Find the missing number. a) 20 + ? c) ? e) 41 + ? = 40 b) x 5 = 35 d) = 53 f) 63 ÷ 34 - ? ? = 15 ? ÷ 3 65 - = 7 ? = 4 = 20 APRIL MATHS HOMEWORK continued 10. Solve these equations. Write your answer as letter = number ( for example p = 7 ) a) t + 5 = 10 b) r + 9 c) e + 15 = 27 d) h + 20 = 40 e) n + 11 = 30 f) k + 16 = 40 11. a) Solve these equations. Write your answer as k - 5 CR WHS 10/11 = 12 b) = 20 letter = number ( for example p = 7 ) s - 9 = 11 c) e - 10 = 10 d) m - 8 = 14 e) s - 14 = 1 f) k - 16 = 0 12. Solve these equations. Write your answer as a) s x 5 c) e) = 15 letter = number ( for example p = 7 ) b) y x 3 = 12 e x 10 = 100 d) f x 8 = 40 b x 7 f) g x 6 = 6 = 14 APRIL MATHS HOMEWORK continued 13. Solve these equations. Write your answer as letter = number ( for example p = 7 ) a) s ÷ 5 = 1 b) k ÷3 = 7 c) e ÷ 8 = 3 d) d ÷ 4 = 2 e) z ÷ 7 = 4 f) g ÷ 10 = 0 14. For each number machine, find the number that comes OUT. CR WHS 10/11 15. For each number machine, find the number that goes IN. MAY MATHS HOMEWORK 1. Would you use a ruler, tape measure or a car odometer to measure: a) b) c) d) e) the width of this sheet of paper the length of the classroom your own height the distance between Glasgow and Kilmarnock your waist measurement ? 2. Would you use a ruler, tape measure or a car odometer to measure: a) b) c) d) e) the length of this sheet of paper the length of your desk in the Maths classroom the distance between London and Manchester the width of a pencil the height of a door ? CR WHS 10/11 3. Estimate the length of each line, to the nearest centimetre. a) ____________________ b) _______________________________________ c) ________ d) ________________ e) ________________________________________________ MAY MATHS HOMEWORK continued 4a) Measure the length of each of the lines in Question 3, in centimetres. b) Now write down, beside each of your measurements, whether your estimate in Question 3 was too long or too short. 5. Estimate the length of each line, to the nearest centimetre. a) ___________________________ b) ________ c) ___________________ d) ___________________________________________________ e) ________________________ CR WHS 10/11 6a) Measure the length of each of the lines in Question 5, in centimetres. b) Now write down, beside each of your measurements, whether your estimate in Question 5 was too long or too short. 7a) Estimate the length of each object below, in centimetres. b) Now measure the length of each object and check how close you were. MAY MATHS HOMEWORK continued 8a) b) 9. Estimate the length of each object below, in centimetres. Now measure the length of each object and check how close you were. Use a ruler to draw lines of length: a) b) 2cm 5cm CR WHS 10/11 c) d) 10. a) b) c) d) 11. 6cm 8cm Use a ruler to draw lines of length: 2 ½ cm 4 ½ cm 7 ½ cm 9 ½ cm Measure and draw these rectangles accurately. USE A RULER! a) b) 2cm 3cm 4cm MAY MATHS HOMEWORK continued 12. 7cm Measure and draw these rectangles accurately. USE A RULER! a) b) 2 ½ cm 3 ½ cm 5cm 8cm 13. How many centimetres are in: a) 1 metre b) 2 metres c) 5 metres d) 20 metres e) 25 metres f) 50 metres 14. How many centimetres are in: CR WHS 10/11 ? a) ¼ metre b) ½ metre c) ¾ metre d) 1 ½ metres e) 2 ¼ metres f) 5 ½ metres 15. How many metres are in: a) 100 cm b) 300 cm c) 500 cm d) 700 cm e) 1200 cm f) 2300 cm 16. How many metres are in: a) 50 cm c) 75 cm f) 875 cm b) 25 cm d) 350 cm e) 425 cm MAY MATHS HOMEWORK continued 17. Look at this example. . . 1 metre 25 centimetres = 1m 25cm = 125cm Now copy and complete the following: a) 1 metre 75 centimetres = m cm = cm b) 2 metres 35 centimetres = m cm = cm c) 4 metres 60 centimetres = m cm = cm d) 1 metre 5 centimetres m cm = cm 18. Look at this example . . . = 210 cm = 2m 10cm = 2 metres 10 centimetres CR WHS 10/11 ? ? ? Now copy and complete the following: a) 120 cm = m cm = metres centimetres b) 325 cm = m cm = metres centimetres c) 435 cm = m cm = metres centimetres d) 705 cm = m cm = metres centimetres MAY MATHS HOMEWORK continued 19. Put these lengths in order, starting with the shortest: a) 1m 70cm b) 107cm c) 5 metres 20. Put these lengths in order, starting with the longest: a) 2m 55cm b) 405cm 4 metres 50 centimetres 3¼m c) 7 metres 70 cm 8 metres 4 centimetres CR WHS 10/11 80cm 1 ½ metres 2 metres 8 centimetres 50 cm 370cm 4 ¾ metres 2 ½ metres 8 ¼ metres 2 metres 4 centimetres 2¼m 220 cm 400 cm 3 metres 5 centimetres 300 cm MAY MATHS HOMEWORK 1. Choose which measuring instrument you would use to measure each of the following: a) b) c) d) e) f) 2. the width of our maths classroom the distance between Glasgow and London the measurement round your waist the thickness of a textbook the length of a football pitch the height of a door Use a ruler to measure the length of each line in centimetres Convert this measurement to millimetres and write this down also. a) _______________ b) __________________________ c) ________ CR WHS 10/11 d) _____________________________________ e) _______________________ f) ________________________________________________ 3a) b) c) d) e) f) How many centimetres are in 3 metres? How many centimetres are in 4 ½ metres? How many centimetres are in 10 ¾ metres? How many metres are in 500 centimetres? How many metres are in 1600 centimetres? How many metres are in 825 centimetres? MAY MATHS HOMEWORK continued 4. Use a ruler to measure the length of each line in centimetres. (There may be a decimal part.) a) ___________________ b) __________ c) __________________________ d) ______ e) _______________________________ f) _______________________________________________ 5. Use a ruler to measure the length of each line in millimetres. a) __________ b) ______________ CR WHS 10/11 c) ___ d) ____________________ e) __________________________ f) _______ 6a) Measure the four sides of this shape in millimetres. b) What is the total of the lengths of these four sides? MAY MATHS HOMEWORK continued 7. One side of this triangle is 5.5 cm. a) b) c) d) Write down which side you think it is. Measure all the sides and write down these lengths, in centimetres. Was your answer to part a) correct? What is the total of the lengths of these three sides? 8. Do you remember? CR WHS 10/11 a) b) c) d) e) How many centimetres are in one metre? How many millimetres are in one centimetre? How many millimetres are in one metre? How many metres are in one kilometre? Now put the above four units ( m, km, mm, cm ) in order, starting with the shortest. 9. How many millimetres are there in: a) 3cm b) 15cm c) ½ a centimetre d) 4cm 3mm e) 7.2cm f) 32.1cm 10. How many centimetres are there in: a) 40mm c) 55mm f) 3mm b) 190mm d) 74mm e) 629mm MAY MATHS HOMEWORK continued 11a) A piece of string is 11 cm long. I cut 35 mm off it. How long is the piece of string left in i) mm ii) cm b) A rod of metal was 8.7 cm long. On a hot day it increased by 2 mm. How long is the rod of metal now in i) mm ii) cm 12. How many metres are there in: a) 5 km d) 2 km 400 m 13. How many kilometres are there in: a) 2000 m CR WHS 10/11 b) b) 14 km c) 6 ½ km e) f) 0.1 km c) 16000 m 8.2 km 3500 m d) 1250 m e) 8750 m f) 230000 m 14a) A race is 1 ½ km long. John tripped after running 400 m. How much of the race has John still got left to run in i) m ii) km b) David swam a 550 m crawl and then a further 600 m butterfly stroke. How far did David swim altogether in i) m ii) km 15. This map shows the roads between towns. How far is it between: a) Mole and Shap? b) Shap and Ironbrig? c) Fellside to Shap, going through Ironbrig? d) Shap to Burlake, going through Ironbrig and Fellside? MAY MATHS HOMEWORK continued 16. A network of roads between mobile phone masts is shown below: The distances are in kilometres. C 23 12 A B 8.5 26 9.5 D E 30 How far is it between: a) b) c) A and C, via B? A and D, via E? A and C, via E and D? CR WHS 10/11 d) e) 17. B and C, via D? A and C, via B and D? Calculate the perimeter of each of the following shapes: MAY MATHS HOMEWORK continued 18. 19. Calculate the perimeter of each of the following shapes: Calculate the length of the missing side in these shapes: CR WHS 10/11 20. Calculate the size of the missing side in the following rectangles: MAY MATHS HOMEWORK continued NOW LET’S TRY SOME QUESTIONS ON WEIGHT! ** Remember – there are 1000g in I kg ** 21. a) b) c) d) e) f) g) h) 22. How many grams are there in: 1 kilogram ½ kilogram ¼ kilogram ¾ kilogram 2 kilograms 3kg 400g 7kg 248g 10kg 10g ? How many kilograms and grams are there in: CR WHS 10/11 a) b) c) d) e) f) g) h) 23. a) b) c) d) e) f) g) 3100g 5500g 7200g 1222g 8532g 20100g 9999g 54321g ? How many grams are there in: 2.1kg 3.4kg 5.75kg 4.03kg 4.003kg 0.08kg 12.05kg ? MAY MATHS HOMEWORK continued ** Remember – there are 1000g in I kg ** 24. How many kilograms are there in: a) 2400g b) 8300g c) 780g d) 230g e) 12g f) 30g g) 9g h) 1g ? NOW LET’S TRY SOME QUESTIONS ON VOLUME! ** Remember – there are 1000ml in 1 litre ** CR WHS 10/11 25. a) b) c) d) e) f) g) h) How many millilitres are there in: 1 litre 2 litres ¼ litre ½ litre ¾ litre 4 l 200 ml 8 l 360 ml 12 l 12 ml ? MAY MATHS HOMEWORK continued ** Remember – there are 1000ml in 1 litre ** 26. How many litres and millilitres are there in: a) b) c) d) e) f) g) h) 2300ml 4500ml 7100ml 9432ml 12056ml 24103ml 15550ml 200303ml 27. How many millilitres are there in: a) b) c) d) 3.1 l 4.6 l 8.34 l 2.09 l CR WHS 10/11 ? e) f) g) h) 2.009 l 0.06 l 0.007 l 15.05 l 28. How many litres are there in: a) b) c) d) e) f) g) h) 5600ml 3900ml 560ml 203ml 19ml 86ml 9ml 4ml ? CR WHS 10/11 ? CR WHS 10/11 JUNE MATHS HOMEWORK 1a) Write down what you understand by the words “a line of symmetry”. b) Which of these shapes has a line of symmetry? Write “YES” or “NO” for each. i) 2. ii) iii) Which of these shapes have lines of symmetry? Copy each shape and draw in all the lines of symmetry. Use a ruler! a) b) c) d) 3. Copy each shape carefully into your homework jotter. Use a ruler! Draw in all the lines of symmetry. a) CR WHS 10/11 b) JUNE MATHS HOMEWORK continued 4. Copy each shape carefully into your homework jotter. Use a ruler! Draw in all the lines of symmetry. a) 5. b) Copy each shape carefully into your homework jotter. Use a ruler! Draw in all the lines of symmetry. a) 6. b) Copy each shape carefully into your homework jotter. Use a ruler! Draw in all the lines of symmetry. a) CR WHS 10/11 b) JUNE MATHS HOMEWORK continued 7. Copy each shape carefully into your homework jotter. Use a ruler! Draw in all the lines of symmetry. a) 8. b) Which pictures show lines of symmetry? Answer “YES” or “NO”. a) b) c) d) e) f) 9. Which pictures show lines of symmetry? Answer “YES” or “NO”. a) b) c) d) e) f) CR WHS 10/11 JUNE MATHS HOMEWORK continued 10. Which pictures show lines of symmetry? Answer “YES” or “NO”. a) b) c) d) e) f) 11. How many lines of symmetry does each of these shapes have? a) b) c) d) 12. Copy the shapes in parts a) and b) from Question 11. Count carefully and use a ruler. Now draw on all the lines of symmetry each shape has. CR WHS 10/11 JUNE MATHS HOMEWORK continued 13. How many lines of symmetry does each of these shapes have? a) b) c) d) 14. Copy the shapes in parts a) and b) from Question 13. Copy carefully and use a ruler! Now draw on all the lines of symmetry each shape has. 15. Which of these road signs have NO lines of symmetry? Do you know what these road signs means? CR WHS 10/11 JUNE MATHS HOMEWORK continued Copy each shape carefully into your homework jotter. USE A RULER! Draw in the other half of each shape, using the dotted line as an axis of symmetry. 16a) b) 17a) b) 18a) b) CR WHS 10/11 JUNE MATHS HOMEWORK continued Copy each shape carefully into your homework jotter. USE A RULER! Draw in the other half of each shape, using the dotted line as an axis of symmetry. 19a) b) 20a) b) CR WHS 10/11 JUNE MATHS HOMEWORK In the following questions, think about: reflection, rotation, enlargement, reduction. For each pair of pictures, describe the transformation that has occurred. 1a) b) c) d) 2a) b) c) d) 3a) b) c) d) CR WHS 10/11 JUNE MATHS HOMEWORK continued 4a) Which of these pictures is NOT affected by a horizontal flip? i) ii) iii) b) Draw a shape of your own that is not affected by a horizontal flip. 5a) Which of these pictures is NOT affected by a vertical flip? i) ii) iii) b) Draw a shape of your own that is not affected by a vertical flip. 6. Which of these shapes have axes of symmetry? Copy each shape and draw in all the axes of symmetry. Use a ruler! CR WHS 10/11 JUNE MATHS HOMEWORK continued 7a) b) c) d) Draw a square 8cm by 8cm. Draw in its diagonals in pencil. Draw in its axes of symmetry in pen. What do you notice? Use a ruler! 8a) b) c) d) Draw a rectangle 9cm by 4cm. Draw in its diagonals in pencil. Draw in its axes of symmetry in pen. What do you notice? Use a ruler! 9. Which pictures show axes of symmetry? Answer “YES” or “NO”. 10. Sketch a picture/design of your own choice showing: a) b) c) 11. one horizontal axis of symmetry. one vertical axis of symmetry. one diagonal axis of symmetry. Copy each shape carefully into your homework jotter. Draw in all the axes of symmetry. CR WHS 10/11 Use a ruler! JUNE MATHS HOMEWORK continued PLEASE USE A RULER FOR EACH DIAGRAM Copy each diagram carefully into your homework jotter. Draw in the other half of each shape, using the dotted line as an axis of symmetry. 12. a) b) c) b) c) b) c) 13. a) 14. a) CR WHS 10/11 JUNE MATHS HOMEWORK continued PLEASE USE A RULER FOR EACH DIAGRAM Copy each diagram carefully into your homework jotter. Draw in the other half of each shape, using the dotted line/s as an axis/axes of symmetry. 15. a) b) c) b) c) b) c) 16. a) 17. a) CR WHS 10/11 JUNE MATHS HOMEWORK continued PLEASE USE A RULER FOR EACH DIAGRAM ALLOW HALF A PAGE FOR EACH QUESTION 18a) Draw a square 2cm by 2cm. b) Now draw a tiling of these squares, showing at least 8 tiles. c) Colour this tiling, showing a regular pattern in your colouring. 19a) Draw an isosceles triangle with base 2cm and altitude 3cm. b) Now draw a tiling of these triangles, showing at least 6 tiles. c) Colour this tiling, showing a regular pattern in your colouring. 20a) Choose, and draw, a shape of your own which will tile. b) Now draw a tiling of these shapes, showing at least 8 tiles. c) Colour this tiling, showing a regular pattern in your colouring. CR WHS 10/11
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