ADVANCED GENERATIONS SCHOOLS Mathematics Revision Pack Answer Key Name :…………………………………………….. Grade : 5 2016 – 2017 Semester 2 0 Section 1: Numbers 1. Write the value of the underlined figure in each of the following numbers: a) 86.243 0.04 b) 6.278 0.008 c) 39.53 0.5 d) 12 764.83 10 000 2. Arrange the following in order from smallest to largest: 4.5 a) 4.04 4.987 4.98 4.52 ___4.04, 4.5, 4.52, 4.98, 4.987_________________________________ 60.47 b) 77 94 40.8 23 82.971 ___23, 40.8, 60.47, 77, 82.971, 94_____________________________ c) 1 , 6 4 , 9 5 , 12 1 3 ___1/6, 1/3, 5/12, 4/9________________________________________________________ 3. Round the following decimals: Nearest whole number One decimal place a) 3.84 4 3.8 b) 57.38 57 57.4 c) 24.05 24 24.1 4. Convert: 2 1 3 5 1 7 4 3 6 6 2 9 1 5. Calculate: 9 2 20 3 83 9 39 5 6. Calculate: 1) 3.6 ÷ 12 = 0.3 2) 6.4 ÷ 8 =0.8 3) 0.48 ÷ 6 = 0.08 4) 7.2 ÷ 8 =0.9 5) 0.24 ÷ 6 = 0.04 6) 0.77 ÷ 11 = 0.07 7. Calculate: 2 8. Convert between fractions and decimals numbers: 9. Matching: a. Match the correct values that add up to 1. One has been done for you: 1) 0.8 2) 0.37 3) 0.23 4) 0.44 0.77 0.56 0.63 0.2 b. Match the correct values that add up to 10. One has been done for you: 1) 3.2 2) 6.84 3) 4.65 4) 8.01 5.35 1.99 6.8 3.16 3 10. Doubling and halving: 11. Multiply: 4 12. Divide 5 13. Factors and multiples: a. b. a. 60: b. 100: c. 24: __10__ x __6___ _10___ x __10__ __6___ x __4___ __15__ x __4___ __20__ x ___5__ __12__ x ___2__ __20__ x __3__ __50__ x __2___ __8___ x ___3__ 14. Complete the table: Fraction Decimal Percentage 14/100 = 7/50 0.14 14% 24/100 = 6/25 0.24 24% 6 2/100 = 1/50 0.02 2% 3 4 0.75 75% 15. Word problems: a) Mia’s family owns an apple farm. They have picked a total of 927 apples last weekend. If 54 of the apples are green, how many red apples did they pick? 927 – 54 = 873 red apples b) A bagel factory produced 45 bags of bagels. There were 12 bagels in each bag. How many bagels did the factory produce in total? 45 x 12 = 540 bagels c) Dunkin Donuts shop needs to pack 738 donuts in boxes. If each box holds 6 donuts, how many boxes does the shop need? 738 ÷ 6 =123 boxes d) Amina went to Zara to buy clothes for the summer holiday. These were the prices of the clothes in the store: 4 x 24.99 = $99.96 2 x 12.50 = $25.00 $32.62 7 Dress = $24.99 T-shirt = $12.50 Pair of shoes = $32.62 Total = 99.96 + 25 + 32.62 = $157.58 If Amina bought 4 dresses, 2 t-shirts and a pair of shoes, what was the total amount that she paid? Section 2: Measurement 16. Use a protractor to measure the following angles and write the name below each one (obtuse, acute, straight, right): 8 17. Use a protractor to measure the angles of the shapes. Use a ruler to measure the length of the shortest side in cm: a. Shortest side = ___3.8_____ cm b. Shortest side = ___2.2_____ cm 18. Calculate the perimeter of each shape: 9 19. Calculate the area of each shape: bagels Five to seven 20. Use the words ‘to’ or ‘past’ to write the time displayed on each clock: Five to seven Twenty three minutes past three 10 Twelve minutes to eleven 21. Write the times using am or pm: 8:00 am. 4:30 pm. Twelve minutes past five 11:25 pm. 7:10 am. 22. Complete the missing numbers for each number machine: 11 Section 3: Geometry 23. Write down the name and two properties of each quadrilateral below: Picture Name Square Properties 1. 4 equal sides 2. 2 sets of parallel lines Rectangle 1. opposite sides equal 2. 2 sets of parallel lines 1. 4 equal sides 2. 2 sets of parallel lines 1. Opposite angles are equal 2. 2 sets of parallel lines 1. No equal sides 2. 1 set of parallel lines Rhombus Parallelogram Trapezium Kite 1. No parallel lines 2. top 2 and bottom 2 lines are equal 24. Answer the following questions: a. What is the name of the angle that is less than 900? b. What do you call a triangle with 3 equal sides? Acute angle Equilateral triangle c. What is the name of the angle that is equal to 900? Right angle d. What do you call a triangle that has no equal sides? Scalene triangle e. What is the name of the angle that is greater than 900 but less than 1800? f. What do you call a triangle that has two equal sides? Obtuse angle Isosceles triangle g. What is the name of the angle that is equal to 3600? Revolution h. What is the tool that we use to measure angles called? Protractor 12 25. Calculate the missing angles: 26. Describe the rotation of each shape using degrees and direction: a. b. Degrees __900________________ Degrees ___1800_______________ Direction __Anti-clockwise______ c. Direction _Anti-clockwise or clockwise d. 13 Degrees __1800________________ Degrees __900________________ Direction __Clockwise or anti-clockwise Direction __Anti-clockwise______ 27. Use the grid below to answer the questions: 28. Draw the reflection of the following shapes along the mirror line: 14 29. Draw the translation for each of the following shapes: Section 4: Data Handling 30. Use the probability scale to answer the questions: 15 a. Look at the spinner. What is the probability of it landing on: Purple: Unlikely Green: Even chance Yellow: Impossible/unlikely b. Look at the dice. What is the probability of landing on: A prime number: even chance A factor of six: likely An even number: even chance c. Look at the jar of shapes. What is the probability of picking: A square: even chance A circle: unlikely A triangle: impossible/unlikely 31. Look at the graphs below and find the mode, median, mean and range: a. The mode of the no of people = _6___ The median of the no of people =14 The mean of the no of people = 11.4 The range = __10_______ 16 b. Mode = ___20___,10___________ Median = __15_______________ Mean = __15________________ Range = ___20_______________ 17 32. Look at the picture graph below and answer the questions: 105 Saturday 210 90 False 780 18 33. Look at the line graph below and answer the questions that follow: 19 34. Look at the bar graph below and answer the questions that follow: 45 40 35 30 25 20 15 10 5 0 WALK BICYCLE BUS TRAIN CAR A group of students at Parkside Elementary School made a bar graph to show how they get to school. a. How many students ride their bicycle to school? ____30_________________ b. Do more students ride their bicycle or get a ride in a car? __bicycle________ c. How many more students take the bus to school than take the train? __35 – 20 = 15_____________________________ d. How many students ride in a car to school? ___10______________________ e. How many students take the train and walk to school combined? __40 + 20 = 60_____________________________ f. How do most of the students get to school? __walk_____________________ 20
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