MG2 Solutions Lesson 25 Statistics and Probability EXERCISES 1) If I toss a coin: (a) 2 (b) 1/2 (c) 1/2 2) If I toss 2 coins: (a) 3 (b) hh, ht, tt, (c) 1/3 3) 1/7 4) Which of the following is the ‘odd one out’? (A) An equal chance (B) 1 in 2 chance (C) Maybe* (D) Even Chance 5) (a) 26 (b) 2/26 (c) 4/26 (d) depends what you like ;) (e) 0% (f) If I pick a snake without looking, why am I most likely to pick out a green Starburst? 6) 1/6 7) c 8) (a) 14 (b) yellow (c) 5/14 (d) blue and black (e) red and pink (f) 2/11 9) Colour this spinner so that: (a) The greatest chance is red (b) The least likely is blue (c) The second least likely is green (d) Those with an equal chance are purple and pink (e) The one with no chance is white 10) Haley is a good swimmer. Which of these does she have more chance of winning? Explain why you chose your answer. (A) A race with her friends* (B) A race in the school swimming carnival (C) A race in the Olympics (A) There are more green Starbursts in the bag * (B) I’m lucky (C) Green is my favourite colour (D) Green Starburst tastes the best SIGI Learner © 2016 Page 1 MG2 Solutions MATHS MIX Show your working for all the questions. 1) 14.55-3.5 = 11.05 9) 45, 48 2) If a cashier only have $1, $2 coins, $10 and $20 notes, give three ways in which $74 can be given. 10) 3249 3) 16 12) 2.25 L 4) 7 and 4 13)18cm 5) 1.8kg 14)32mins 6) 27 15) 110mins 7) 719.21 + 312.7 = 1031.91 16) No he cant 8) 6 dollar 17)40 SIGI Learner © 2016 11) 100 Page 2 MG2 Solutions Lesson 26 SIGI Learner © 2016 Page 3 MG2 Solutions SIGI Learner © 2016 Page 4 MG2 Solutions SIGI Learner © 2016 Page 5 MG2 Solutions Lesson 28 MATHEMATICS Data Representation and Interpretation EXERCISES 1) Suzie rolled the die and obtained the following results: (a) *8, 10, 7, 4, 5, 3 (b) *37 (c) *2 (d) *6 (e) *5 (f) *0 2) *Justin 3) * 4) * 5) George was drawing cards from a deck and he got 8 clubs, 7 hearts, 3 diamonds and 8 spades. Fill in the tally table below. Tally Total Spades 8 Hearts 7 Clubs 8 Diamonds 3 SIGI Learner © 2016 Page 6 MG2 Solutions 6) a 7) d 8) (a) *29 (b) *Brunette (c) *orange 9) *14 blue, 11 red, 21 green 10) (a) *52 (b) *11 (c) *21 (d) *12 (e) *8 11) (a) *154 (b) *58 (c) *38 (d) *24 (e) *34 MATHS MIX Show your working for all the questions. 1) *one in six chances 2) *one in fifty-two chances 3) *one in twelve chances 4) $2.80 5) *81 minutes or 1 hr and 21 mins 10)*$11.60 11)*29 mm 12)*67 rubies 13) d 14)*47 minutes 6) *45 on Saturday, 108 altogether 7) *18, 27 (or 36 & 9) 8) *30 m (or 10 m) 9) *5 490 skittles SIGI Learner © 2016 15)*$720 16) *88 m2 (don’t worry about units) 17)*$110 Page 7 MG2 Solutions Lesson 29 SIGI Learner © 2016 Page 8 MG2 Solutions SIGI Learner © 2016 Page 9 MG2 Solutions Lesson 30 SIGI Learner © 2016 Page 10 MG2 Solutions SIGI Learner © 2016 Page 11 MG2 Solutions Lesson 31 SIGI Learner © 2016 Page 12 MG2 Solutions SIGI Learner © 2016 Page 13 MG2 Solutions Lesson 25 Money Problems Exercise 1) 2) 3) 4) 5) *5 *8 *18 *7 *9 ways 20c 10c 5c 2 - - 1 2 - *1 *1 *2 *1 *0 *4 *0 *4 *0 *0 *3 *2 *0 *2 *4 *0 *1 *6 *0 *0 *8 6) If 2 ice cream costs $1.50, what is the cost of: (a) $3 (b) $0.75 (c) $2.25 SIGI Learner © 2016 Page 14 MG2 Solutions 7) If 3 pencils costs $1.20, what is the cost of: (a) *$2.40 (b) *$3.60 (c) *0.40 8) *$1.50 9) *$8 10)Lollies cost 15c each and biscuits cost 22c each. (a) *6, $0.10 (b) *4, $0.12 11)*2/7 12)If I roll a die, what are the chances of: (a) *1/6 (b) *3/6 (c) *4/6 or 2/3 (d) *0 13) Colour in each spinner so that: 14)Alison spins the pointer on this spinner. (a) *1/5 (b) *2/5 (c) *3/5 (d) *0 15)*yellow, purple, green, red, orange SIGI Learner © 2016 Page 15 MG2 Solutions General Ability EXERCISES 1) 2) 3) 4) 5) *15 *40 *27 *20 Gabrielle has these coins in her purse: (a) *40 c (b) *50c 6) If 3 ice cream costs $1.50, what is the cost of: (a) *$2 (b) $0.50 (c) 6 ice creams? $3 7) If 3 rubbers costs $4.20, what is the cost of: (d) *$8.40 (e) *$12.60 (f) *$1.40 8) Week 1 Week 2 Week 3 Week 4 Total Spent $1.80 $0.70 $2.10 $1.50 *$6.10 Saved *$1.20 *$2.30 *$0.90 *$1.50 *$5.90 9) I have the following coins: (a) Write down two different ways I can pay for a drink costing 90c. (b) Write down three different ways I can pay for an ice-block costing $1.60 10)* $1.60 11)*2/7 12)If I roll a die, what are the chances of: (a) *3/6 (b) *3/6 (c) *1/6 (d) *6/6 SIGI Learner © 2016 Page 16 MG2 Solutions 13)Colour in each spinner so that: (a) there is 2 in 4 chance that it is red. (b) there is 8 in 8 chance that it is yellow. (c) there is 6 in 8 chance that it is green. 14)Colour in each hexagonal spinner so that: (a) it will definitely land on red. (b) it is impossible that it lands on green. (c) there is an even chance of landing on blue and green. 15)*Blue, yellow, green, orange red GA MIX 1) C 2) a 3) a 4) b 5) c 6) b 7) a 8) c 9) c 10) d 11) a 12) a SIGI Learner © 2016 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) b a d c b b d a d a c b Page 17 MG2 Solutions Shape Patterns (Part Two) 7. 1. 2. 8. 3. 9. 4. 5. 10. 6. SIGI Learner © 2016 Page 18 MG2 Solutions Shape Patterns II For the following questions study the shape pattern given and draw the next or missing shape that is required to complete the pattern. (Questions 2, 5, 6 and 9) 1. 6. 2. 7. 3. 8. 4. 9. 5. 10. SIGI Learner © 2016 Page 19 MG2 Solutions GA MIX 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) a b d c c a b b b c b c d SIGI Learner © 2016 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) c a a b c c a b d b b c Page 20 MG2 Solutions Antonyms (Part Two) Antonym: A word opposite in meaning to another e.g. bad and good. *Opposites attract!!!!* Exercise 1) Match the word to its antonym a. Awful Negative e * b. Shy Agitated h* c. Tough Wonderful a* d. Below Woman g* e. Positive Destroy f* f. Create Outgoing b* g. Man Innocent i* h. Patient Bright j* i. Guilty Delicate c* j. Dim Above d* 2) After you have completed the activity, write a sentence using ONE word from each pair of antonyms. 3) Fill in the blanks. (a) find (b) overlook (c) question (d) calm (e) excited SIGI Learner © 2016 (f) deep (g) healthy (h) rough (i) cowardly (j) asleep Page 21 MG2 Solutions GA MIX 1) 2) 3) 4) 5) 6) 7) 8) 9) c a a b c b a a b 10) 11) 12) 13) 14) 15) 16) 17) 18) c b c a b c d b d 19) 20) 21) 22) 23) 24) 25) a d a a a b b Lesson 28 EXERCISES 1) C* 2) B* Find the odd one out in each set and why. 3) B is not a rotation of the others. 4) D as the tail is not pointing towards the triangle. 5) C as the arrow is not in the centre. GA MIX 1) 2) 3) 4) 5) 6) 7) 8) b b a d a a b *1 7 5 4 SIGI Learner © 2016 9) b 10) c 11) a 12) c 13)d 14) c 15) a 16) c 17) b 18) c 19) c 20) a 21) b 22) d 23) a 24) b 25) a Page 22 MG2 Solutions SIGI Learner © 2016 Page 23 MG2 Solutions SIGI Learner © 2016 Page 24 MG2 Solutions SIGI Learner © 2016 Page 25
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