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Primary 4 Mathematics · Chapter 11 · Answers and explanations

Lesson 11.1: Recall: Tables, Bar Graphs and Line Graphs (answers)

Section A · Multiple choice 4 marks

1. How many pupils chose Badminton in all?1 mark

Favourite sports of some Primary 4 pupilsSportGirlsBoysSoccer1225Badminton2014Swimming1816
(A) 6(B) 34(C) 20(D) 54
Answer: (B) 34Badminton: 20 girls and 14 boys. 20 + 14 = 34. (6 is how many more girls than boys.)

2. Which sport is the most popular among the boys?1 mark

(A) Soccer(B) Badminton(C) Swimming(D) All are equal
Answer: (A) SoccerLook down the Boys column: 25, 14, 16. The biggest number is 25, so Soccer.

3. How many more plums than pears were sold?1 mark

Fruit Sold at a Market01020304050ApplesPearsPlumsPeachesNumber of fruits sold
(A) 65(B) 15(C) 25(D) 35
Answer: (C) 25Plums: 45. Pears: 20. How many more means subtract: 45 − 20 = 25.

4. In which month did the savings go down compared with the month before?1 mark

Joe's Savings010203040JanuaryFebruaryMarchAprilMayAmount of savings ($)
(A) February(B) March(C) April(D) May
Answer: (B) MarchThe line goes down only from February ($20) to March ($14), so the answer is March.

Section B · Write your answer 11 marks

5. How many girls are there in all?1 mark

Favourite sports of some Primary 4 pupilsSportGirlsBoysSoccer1225Badminton2014Swimming1816
Answer: 5012 + 20 + 18 = 50 girls.

6. How many boys are there in all?1 mark

Answer: 5525 + 14 + 16 = 55 boys.

7. How many more girls than boys chose Badminton?1 mark

Answer: 620 − 14 = 6 more girls.

8. How many fruits were sold in all?1 mark

Fruit Sold at a Market01020304050ApplesPearsPlumsPeachesNumber of fruits sold
Answer: 13035 + 20 + 45 + 30 = 130 fruits.

9. How many fewer peaches than plums were sold?1 mark

Answer: 1545 − 30 = 15 fewer peaches.

10. How much did Joe save in the 5 months in all?2 marks

Joe's Savings010203040JanuaryFebruaryMarchAprilMayAmount of savings ($)
Answer: $11012 + 20 + 14 + 28 + 36 = 110. Joe saved $110.

11. Between which two months was the greatest increase in Joe's savings?2 marks

Answer: March and AprilIncreases: Jan to Feb 8, Mar to Apr 14, Apr to May 8. The greatest is $14, from March to April.

12. How much more did Joe save in May than in February?2 marks

Answer: $16May: $36. February: $20. 36 − 20 = 16. Joe saved $16 more.
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Primary 4 Mathematics · Chapter 11 · Answers and explanations

Lesson 11.2: Pie Charts (answers)

Section A · Multiple choice 4 marks

1. Which pie chart shows the correct information?1 mark

Favourite colours of 100 pupilsColourRedBlueGreenYellowNumber of pupils40302010ARedBlueGreenYellowBRedBlueGreenYellowCRedBlueGreenYellow
(A) Pie chart A(B) Pie chart B(C) Pie chart C(D) None of them
Answer: (C) Pie chart CRed is 40, the biggest slice. Blue is 30, Green is 20 and Yellow is 10, the smallest. Only pie chart C matches.

2. How many pupils walk to school?1 mark

How 60 Pupils Travel to SchoolBus21MRT18Car12Walk
(A) 9(B) 51(C) 21(D) 12
Answer: (A) 9The whole is 60. 21 + 18 + 12 = 51. Walk = 60 − 51 = 9.

3. What fraction of the pupils like cats?1 mark

Favourite Pets of 48 PupilsDog18Cat12Hamster6Rabbit12
(A) 13(B) 14(C) 12(D) 16
Answer: (B) 14Cats: 12 out of 48, which is 1248. Divide the top and bottom by 12 to get 14.

4. There are 80 toys. How many toys are blocks?1 mark

Toys in a Toy Box (80 toys)Blocks38Cars14Dolls18Balls
(A) 50(B) 10(C) 30(D) 24
Answer: (C) 30Blocks are 38 of 80. 1 eighth of 80 is 80 ÷ 8 = 10. So 38 is 3 × 10 = 30.

Section B · Write your answer 11 marks

5. Which pet is liked by the fewest pupils?1 mark

Favourite Pets of 48 PupilsDog18Cat12Hamster6Rabbit12
Answer: HamsterThe smallest number is 6, which is Hamster.

6. How many more pupils like dogs than hamsters?1 mark

Answer: 1218 − 6 = 12 more pupils.

7. What fraction of the pupils like dogs? Give your answer in the simplest form.2 marks

Answer: 38Dogs: 18 out of 48, which is 1848. Divide the top and bottom by 6 to get 38.

8. What fraction of the toys are balls?1 mark

Toys in a Toy Box (80 toys)Blocks38Cars14Dolls18Balls
Answer: 14Balls = 1 whole − 38 − 14 − 18. In eighths: 88 − 38 − 28 − 18 = 28 = 14.

9. How many dolls are there?1 mark

Answer: 10Dolls are 18 of 80. 80 ÷ 8 = 10 dolls.

10. How many more cars than dolls are there?2 marks

Answer: 10Cars are 14 of 80 = 20. Dolls = 10. 20 − 10 = 10 more cars.

11. What fraction of the pupils take the bus? Give your answer in the simplest form.2 marks

How 60 Pupils Travel to SchoolBus21MRT18Car12Walk
Answer: 720Bus: 21 out of 60, which is 2160. Divide the top and bottom by 3 to get 720.

12. How many pupils take the MRT or a car?1 mark

Answer: 3018 + 12 = 30 pupils.
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Primary 4 Mathematics · Chapter 11 · Answers and explanations

Chapter 11 Revision Paper: Pie Charts (answers)

Section A · Multiple choice 10 marks

1. How many adults visited the museum on Sunday?1 mark

Visitors at a MuseumDayAdultsChildrenSat3525Sun4045Mon1530
(A) 40(B) 45(C) 85(D) 35
Answer: (A) 40Find the Sun row and the Adults column. The number is 40. (45 is the children and 85 is all the visitors.)

2. How many visitors came to the museum on Monday in all?1 mark

Visitors at a MuseumDayAdultsChildrenSat3525Sun4045Mon1530
(A) 15(B) 45(C) 30(D) 10
Answer: (B) 45Monday: 15 adults and 30 children. 15 + 30 = 45. (15 and 30 each leave out one group.)

3. Which club has the most pupils?1 mark

Pupils in Four Clubs0510152025303540ChessArtChoirDramaNumber of pupils
(A) Drama(B) Chess(C) Art(D) Choir
Answer: (C) ArtThe longest bar is Art, reaching 35. (Drama is the next longest at 30.)

4. How many more pupils are in the Drama club than in the Choir club?1 mark

Pupils in Four Clubs0510152025303540ChessArtChoirDramaNumber of pupils
(A) 45(B) 10(C) 30(D) 15
Answer: (D) 15Drama: 30. Choir: 15. How many more means subtract: 30 − 15 = 15. (45 comes from adding.)

5. How many pupils were in the library at 11 am?1 mark

Pupils in the Library01020304050609 am10 am11 am12 pm1 pmNumber of pupils
(A) 60(B) 40(C) 30(D) 50
Answer: (A) 60The 11 am point is at the top line, 60. (40 is 10 am and 30 is 12 pm.)

6. Which fruit was chosen by the same number of pupils as Apple?1 mark

Favourite Fruit of 60 PupilsApple15Banana18Grape12Mango15
(A) Banana(B) Mango(C) Grape(D) No fruit
Answer: (B) MangoApple has 15 pupils. Banana has 18 and Grape has 12. The missing part is Mango: 60 − 15 − 18 − 12 = 15. So Mango also has 15 pupils.

7. What fraction of the pupils chose Apple?1 mark

Favourite Fruit of 60 PupilsApple15Banana18Grape12Mango15
(A) 310(B) 15(C) 14(D) 115
Answer: (C) 14Apple: 15 out of 60, which is 1560. Divide the top and bottom by 15 to get 14. (Banana is 310.)

8. How many comic books are there?1 mark

Books in a Reading Corner (72 books)Story12Comic14Poem112Other16
(A) 36(B) 24(C) 12(D) 18
Answer: (D) 18Comic books are 14 of 72. 72 ÷ 4 = 18. (36 is the Story books, 12 of 72.)

9. The table shows the favourite drinks of 40 pupils. Which pie chart shows the table?1 mark

Favourite drinks of 40 pupilsDrinkMilkJuiceWaterTeaNumber of pupils201064AMilkJuiceWaterTeaBMilkJuiceWaterTeaCMilkJuiceWaterTea
(A) Pie chart B(B) Pie chart A(C) Pie chart C(D) None of them
Answer: (A) Pie chart BMilk is 20 out of 40, which is half. Juice is 10, a quarter. Water is 6 and Tea is 4. Only pie chart B has the half and the quarter in the right places and Water bigger than Tea. In A, Juice is the half. In C, Water is bigger than Juice.

10. Which sport was chosen by exactly 13 of the pupils?1 mark

Sports Chosen by 90 PupilsSoccer30Swimming27Netball18Tennis15
(A) Swimming(B) Soccer(C) Netball(D) Tennis
Answer: (B) SoccerOne third of 90 is 90 ÷ 3 = 30. Soccer has 30 pupils. (Swimming has 27.)

Section B · Short answers 4 marks

11. By how many did the number of pupils in the library decrease from 11 am to 12 pm?1 mark

Pupils in the Library01020304050609 am10 am11 am12 pm1 pmNumber of pupils
Answer: 3011 am: 60 pupils. 12 pm: 30 pupils. 60 − 30 = 30.

12. How many visitors came to the museum on Saturday in all?1 mark

Visitors at a MuseumDayAdultsChildrenSat3525Sun4045Mon1530
Answer: 60Saturday: 35 + 25 = 60 visitors.

13. How many pupils chose Mango?1 mark

Favourite Fruit of 60 PupilsApple15Banana18Grape12Mango15
Answer: 15The whole is 60 pupils. 15 + 18 + 12 = 45. Mango: 60 − 45 = 15 pupils.

14. What fraction of the books are Other books?1 mark

Books in a Reading Corner (72 books)Story12Comic14Poem112Other16
Answer: 16Whole = 1212. Story 12 = 612, Comic 14 = 312, Poem 112. 1212 − 612 − 312 − 112 = 212 = 16.

Section C · Show your working 16 marks

15. How many more pupils are in Art and Drama together than in Chess and Choir together?2 marks

Pupils in Four Clubs0510152025303540ChessArtChoirDramaNumber of pupils
Answer: 30Art and Drama: 35 + 30 = 65. Chess and Choir: 20 + 15 = 35. 65 − 35 = 30 more pupils.

16. How many more children than adults visited the museum on the 3 days in all?2 marks

Visitors at a MuseumDayAdultsChildrenSat3525Sun4045Mon1530
Answer: 10Adults: 35 + 40 + 15 = 90. Children: 25 + 45 + 30 = 100. 100 − 90 = 10 more children.

17. Between which two times was the greatest increase in the number of pupils in the library? By how many pupils?2 marks

Pupils in the Library01020304050609 am10 am11 am12 pm1 pmNumber of pupils
Answer: 9 am and 10 am, 30 pupilsIncreases: 9 am to 10 am: 40 − 10 = 30. 10 am to 11 am: 20. 12 pm to 1 pm: 20. The greatest increase is 30 pupils, from 9 am to 10 am.

18. What fraction of the pupils chose Banana? Give your answer in the simplest form.2 marks

Favourite Fruit of 60 PupilsApple15Banana18Grape12Mango15
Answer: 310Banana: 18 out of 60, which is 1860. Divide the top and bottom by 6 to get 310.

19. How many Comic books and Poem books are there altogether?2 marks

Books in a Reading Corner (72 books)Story12Comic14Poem112Other16
Answer: 24Comic: 14 of 72 = 72 ÷ 4 = 18. Poem: 112 of 72 = 72 ÷ 12 = 6. 18 + 6 = 24 books.

20. What fraction of the pupils chose Swimming or Tennis? Give your answer in the simplest form.2 marks

Sports Chosen by 90 PupilsSoccer30Swimming27Netball18Tennis15
Answer: 715Swimming and Tennis: 27 + 15 = 42 pupils. 42 out of 90 is 4290. Divide the top and bottom by 6 to get 715.

21. Dev saved the rest of his money. How much money did he save?2 marks

Dev's $160 Pocket MoneyFood12Books14Toys110Savings320
Answer: $24Food: 12 of $160 = $80. Books: 14 of $160 = $40. Toys: 110 of $160 = $16. Spent: 80 + 40 + 16 = $136. Savings: $160 − $136 = $24.

22. Dev spent all of his savings on toys as well. What fraction of his $160 was spent on toys then? Give your answer in the simplest form.2 marks

Dev's $160 Pocket MoneyFood12Books14Toys110Savings320
Answer: 14Toys: $16. Savings: $24. 16 + 24 = $40. $40 out of $160 is 40160. Divide the top and bottom by 40 to get 14.
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