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Primary 4 Mathematics · Chapter 4 · Answers and explanations

Lesson 4.1: Bar Graphs: Reading and Comparing (answers)

Section A · Multiple choice 4 marks

1. How many books were borrowed on Wednesday?1 mark

Books Borrowed from the Library0102030405060MonTueWedThuFriNumber of books
(A) 30(B) 40(C) 20(D) 2
Answer: (C) 20Look at the bar for Wed. Its top is on the line for 20, so 20 books. (30 is Monday.)

2. On which day were the most books borrowed?1 mark

Books Borrowed from the Library0102030405060MonTueWedThuFriNumber of books
(A) Monday(B) Thursday(C) Friday(D) Tuesday
Answer: (D) TuesdayThe tallest bar is Tue. Its top is at 50, so Tuesday.

3. How many more books were borrowed on Tuesday than on Wednesday?1 mark

Books Borrowed from the Library0102030405060MonTueWedThuFriNumber of books
(A) 30(B) 70(C) 20(D) 50
Answer: (A) 30Tuesday: 50. Wednesday: 20. How many more means subtract: 50 − 20 = 30. (70 comes from adding.)

4. How many boys are there in Class 4B?1 mark

Pupils in Four ClassesGirlsBoys0510152025304A4B4C4DNumber of pupils
(A) 15(B) 25(C) 40(D) 20
Answer: (B) 25Find 4B. The boys' bar (orange) reaches 25. (15 is the girls' bar.)

Section B · Write your answer 11 marks

5. How many books were borrowed from Monday to Friday in all?1 mark

Books Borrowed from the Library0102030405060MonTueWedThuFriNumber of books
Answer: 15030 + 50 + 20 + 40 + 10 = 150 books.

6. How many fewer books were borrowed on Friday than on Thursday?1 mark

Books Borrowed from the Library0102030405060MonTueWedThuFriNumber of books
Answer: 30Thursday: 40. Friday: 10. 40 − 10 = 30 fewer books.

7. On which day were half as many books borrowed as on Thursday?1 mark

Books Borrowed from the Library0102030405060MonTueWedThuFriNumber of books
Answer: WednesdayThursday: 40. Half of 40 = 40 ÷ 2 = 20. The bar at 20 is Wednesday.

8. How many girls are there in Class 4C?1 mark

Pupils in Four ClassesGirlsBoys0510152025304A4B4C4DNumber of pupils
Answer: 25Find 4C. The girls' bar (blue) reaches 25.

9. How many pupils are there in Class 4D?1 mark

Pupils in Four ClassesGirlsBoys0510152025304A4B4C4DNumber of pupils
Answer: 30Girls 10 + boys 20 = 30 pupils.

10. Which class has the most pupils? How many pupils are in that class?2 marks

Pupils in Four ClassesGirlsBoys0510152025304A4B4C4DNumber of pupils
Answer: Class 4C, 45 pupilsAdd girls and boys. 4A: 20 + 10 = 30. 4B: 15 + 25 = 40. 4C: 25 + 20 = 45. 4D: 10 + 20 = 30. The most is Class 4C with 45 pupils.

11. How many more boys than girls are there in the four classes in all?2 marks

Pupils in Four ClassesGirlsBoys0510152025304A4B4C4DNumber of pupils
Answer: 5Girls: 20 + 15 + 25 + 10 = 70. Boys: 10 + 25 + 20 + 20 = 75. 75 − 70 = 5 more boys.

12. Which class has twice as many girls as boys? Write the number of girls and boys.2 marks

Pupils in Four ClassesGirlsBoys0510152025304A4B4C4DNumber of pupils
Answer: Class 4A (20 girls and 10 boys)Twice as many means double. In 4A, the boys are 10 and the girls are 20, and 10 × 2 = 20. No other class works.
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Primary 4 Mathematics · Chapter 4 · Answers and explanations

Lesson 4.2: Tables (answers)

Section A · Multiple choice 4 marks

1. How many stickers did Ben collect in Week 2?1 mark

Stickers Collected by Four PupilsPupilWeek 1Week 2Week 3Amy12159Ben82014Cara161018Dev5137
(A) 8(B) 14(C) 15(D) 20
Answer: (D) 20Find the row for Ben and the column for Week 2. The number is 20. (8 is Week 1 and 14 is Week 3.)

2. Who collected the most stickers in Week 3?1 mark

Stickers Collected by Four PupilsPupilWeek 1Week 2Week 3Amy12159Ben82014Cara161018Dev5137
(A) Cara(B) Ben(C) Amy(D) Dev
Answer: (A) CaraLook down the Week 3 column: 9, 14, 18, 7. The biggest number is 18, which is Cara.

3. How many stickers did Amy collect in the 3 weeks in all?1 mark

Stickers Collected by Four PupilsPupilWeek 1Week 2Week 3Amy12159Ben82014Cara161018Dev5137
(A) 27(B) 36(C) 21(D) 46
Answer: (B) 36Amy: 12 + 15 + 9 = 36. (27 forgets Week 3.)

4. How many more Primary 4 pupils are in Chess than in Art?1 mark

Pupils in Three ClubsClubPrimary 3Primary 4Primary 5Chess141812Art20915Drama111613
(A) 27(B) 2(C) 9(D) 18
Answer: (C) 9Look in the Primary 4 column. Chess: 18. Art: 9. 18 − 9 = 9 more pupils.

Section B · Write your answer 11 marks

5. How many stickers did the four pupils collect in Week 1 in all?1 mark

Stickers Collected by Four PupilsPupilWeek 1Week 2Week 3Amy12159Ben82014Cara161018Dev5137
Answer: 41Week 1 column: 12 + 8 + 16 + 5 = 41 stickers.

6. How many more stickers did Dev collect than Cara in Week 2?1 mark

Stickers Collected by Four PupilsPupilWeek 1Week 2Week 3Amy12159Ben82014Cara161018Dev5137
Answer: 3Dev: 13. Cara: 10. 13 − 10 = 3 more stickers.

7. How many pupils are in the Drama club in all?1 mark

Pupils in Three ClubsClubPrimary 3Primary 4Primary 5Chess141812Art20915Drama111613
Answer: 40Drama row: 11 + 16 + 13 = 40 pupils.

8. Which club has the most Primary 5 pupils?1 mark

Pupils in Three ClubsClubPrimary 3Primary 4Primary 5Chess141812Art20915Drama111613
Answer: ArtLook down the Primary 5 column: 12, 15, 13. The biggest number is 15, which is Art.

9. How many children's tickets were sold on Saturday? (Find the missing number.)1 mark

Tickets Sold at a FairDayAdultsChildrenTotalFri283563Sat454792Sun4852100Total121134255
Answer: 47On Saturday, Adults + Children = Total. 45 + ? = 92. So ? = 92 − 45 = 47.

10. Who collected the most stickers in the 3 weeks in all? How many stickers was that?2 marks

Stickers Collected by Four PupilsPupilWeek 1Week 2Week 3Amy12159Ben82014Cara161018Dev5137
Answer: Cara, 44 stickersAdd each row. Amy: 36. Ben: 8 + 20 + 14 = 42. Cara: 16 + 10 + 18 = 44. Dev: 5 + 13 + 7 = 25. The most is Cara with 44.

11. How many more tickets were sold on Sunday than on Friday?2 marks

Tickets Sold at a FairDayAdultsChildrenTotalFri283563Sat454792Sun4852100Total121134255
Answer: 37Look in the Total column. Sunday: 100. Friday: 63. 100 − 63 = 37 more tickets.

12. Add the pupils in each club for each level. How many more Primary 3 pupils than Primary 5 pupils are in the three clubs?2 marks

Pupils in Three ClubsClubPrimary 3Primary 4Primary 5Chess141812Art20915Drama111613
Answer: 5Primary 3: 14 + 20 + 11 = 45. Primary 5: 12 + 15 + 13 = 40. 45 − 40 = 5 more pupils.
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Primary 4 Mathematics · Chapter 4 · Answers and explanations

Lesson 4.3: Reading Line Graphs (answers)

Section A · Multiple choice 4 marks

1. What was the height of the plant in Week 4?1 mark

Height of a Bean Plant01020304050Week 1Week 2Week 3Week 4Week 5Week 6Height (cm)
(A) 35 cm(B) 30 cm(C) 40 cm(D) 45 cm
Answer: (A) 35 cmThe Week 4 point is halfway between the lines for 30 and 40. Halfway is 35 cm.

2. What was the height of the plant in Week 2?1 mark

Height of a Bean Plant01020304050Week 1Week 2Week 3Week 4Week 5Week 6Height (cm)
(A) 10 cm(B) 15 cm(C) 20 cm(D) 5 cm
Answer: (B) 15 cmThe Week 2 point is halfway between 10 and 20, so it is 15 cm.

3. In which week was the plant 45 cm tall?1 mark

Height of a Bean Plant01020304050Week 1Week 2Week 3Week 4Week 5Week 6Height (cm)
(A) Week 4(B) Week 6(C) Week 5(D) Week 3
Answer: (C) Week 5Find 45 cm, halfway between 40 and 50. The point at that height is above Week 5.

4. How much taller was the plant in Week 6 than in Week 1?1 mark

Height of a Bean Plant01020304050Week 1Week 2Week 3Week 4Week 5Week 6Height (cm)
(A) 55 cm(B) 40 cm(C) 50 cm(D) 45 cm
Answer: (D) 45 cmWeek 6: 50 cm. Week 1: 5 cm. 50 − 5 = 45 cm taller. (55 comes from adding.)

Section B · Write your answer 11 marks

5. What was the height of the plant in Week 3?1 mark

Height of a Bean Plant01020304050Week 1Week 2Week 3Week 4Week 5Week 6Height (cm)
Answer: 20 cmThe Week 3 point is on the line for 20, so 20 cm.

6. By how many centimetres did the plant grow from Week 2 to Week 3?1 mark

Height of a Bean Plant01020304050Week 1Week 2Week 3Week 4Week 5Week 6Height (cm)
Answer: 5 cmWeek 2: 15 cm. Week 3: 20 cm. 20 − 15 = 5 cm.

7. In which week was the plant first taller than 30 cm?1 mark

Height of a Bean Plant01020304050Week 1Week 2Week 3Week 4Week 5Week 6Height (cm)
Answer: Week 4Week 3 is 20 cm, which is not above 30. Week 4 is 35 cm, which is above 30. So Week 4.

8. How many visitors were at the pool on Wednesday?1 mark

Visitors at a Pool020406080100120140160MonTueWedThuFriSatNumber of visitors
Answer: 80The Wed point is on the line for 80, so 80 visitors.

9. On which days were there more than 100 visitors?1 mark

Visitors at a Pool020406080100120140160MonTueWedThuFriSatNumber of visitors
Answer: Thursday, Friday and SaturdayThu: 140, Fri: 120, Sat: 160 are all more than 100. Tuesday is exactly 100, so it is not more than 100.

10. How many visitors came to the pool from Monday to Wednesday in all?2 marks

Visitors at a Pool020406080100120140160MonTueWedThuFriSatNumber of visitors
Answer: 240Mon 60 + Tue 100 + Wed 80 = 240 visitors.

11. The pool hoped for 700 visitors from Monday to Saturday. How many more visitors were needed?2 marks

Visitors at a Pool020406080100120140160MonTueWedThuFriSatNumber of visitors
Answer: 40Read all 6 points: 60 + 100 + 80 + 140 + 120 + 160 = 660. 700 − 660 = 40 more visitors.

12. The plant's height in Week 6 is how many times its height in Week 1?2 marks

Height of a Bean Plant01020304050Week 1Week 2Week 3Week 4Week 5Week 6Height (cm)
Answer: 10 timesWeek 6: 50 cm. Week 1: 5 cm. 50 ÷ 5 = 10. So it is 10 times as tall.
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Primary 4 Mathematics · Chapter 4 · Answers and explanations

Lesson 4.4: Change on a Line Graph, and Choosing a Graph (answers)

Section A · Multiple choice 4 marks

1. Between which two months did Rina's savings decrease the most?1 mark

Rina's Savings0102030405060708090100JanFebMarAprMayJunSavings ($)
(A) January and February(B) May and June(C) March and April(D) April and May
Answer: (B) May and JuneSavings went down: Feb to Mar by 10, Apr to May by 10, and May to Jun by 70 − 30 = 40. The greatest decrease is May to June.

2. By how much did Rina's savings increase from March to April?1 mark

Rina's Savings0102030405060708090100JanFebMarAprMayJunSavings ($)
(A) $80(B) $20(C) $30(D) $10
Answer: (C) $30March: $50. April: $80. 80 − 50 = 30. (80 is just the April value.)

3. Between which two weeks did the water level increase the most?1 mark

Water Level in a Pond0102030405060708090100Week 1Week 2Week 3Week 4Week 5Water level (cm)
(A) Week 1 and Week 2(B) Week 3 and Week 4(C) Week 4 and Week 5(D) Week 2 and Week 3
Answer: (D) Week 2 and Week 3Increases: Week 1 to 2 is 10 cm, Week 2 to 3 is 90 − 70 = 20 cm. The level went down after Week 3. The greatest increase is Week 2 to Week 3.

4. Which graph is best for showing how the temperature changed through the day?1 mark

(A) Line graph(B) Bar graph(C) Table(D) Pictogram
Answer: (A) Line graphA line graph shows change over time, so you can see when it goes up or down.

Section B · Write your answer 11 marks

5. By how much did Rina's savings decrease from April to May?1 mark

Rina's Savings0102030405060708090100JanFebMarAprMayJunSavings ($)
Answer: $10April: $80. May: $70. 80 − 70 = $10.

6. Which graph is best to compare how many books 5 pupils read? Give a reason.1 mark

Answer: Bar graph, because the bars are easy to compare by heightA bar graph puts each pupil in a separate bar, so you can compare the heights.

7. Which is best to show exact numbers in rows and columns for easy reading?1 mark

Answer: TableA table lists the exact numbers in rows and columns, so there is no need to estimate from a graph.

8. Between which two weeks did the pond's water level decrease the most? By how many centimetres?1 mark

Water Level in a Pond0102030405060708090100Week 1Week 2Week 3Week 4Week 5Water level (cm)
Answer: Week 4 and Week 5, 35 cmDecreases: Week 3 to 4 is 90 − 80 = 10 cm. Week 4 to 5 is 80 − 45 = 35 cm. The greatest is Week 4 to Week 5.

9. How much did Rina save in January and February in all?1 mark

Rina's Savings0102030405060708090100JanFebMarAprMayJunSavings ($)
Answer: $100January: $40. February: $60. 40 + 60 = $100.

10. Between which two months was the greatest increase in Rina's savings? Write the amount.2 marks

Rina's Savings0102030405060708090100JanFebMarAprMayJunSavings ($)
Answer: March and April, $30Increases: Jan to Feb 20, Mar to Apr 30. Other changes go down. The greatest increase is $30 from March to April.

11. Here the graph is drawn up to Week 4. In Week 5 the water level is 45 cm. Where is the Week 5 point? How many centimetres below the Week 4 point is it?2 marks

Water Level in a Pond0102030405060708090100Week 1Week 2Week 3Week 4Water level (cm)
Answer: Halfway between 40 and 50; 35 cm below45 cm is halfway between 40 and 50. Week 4 is 80 cm, so 80 − 45 = 35 cm below.

12. Ravi wants to show how the number of visitors in a park changed every hour from 9 a.m. to 3 p.m. Mei wants to compare the number of visitors on 4 different days. Name the best graph for each pupil.2 marks

Answer: Ravi: line graph. Mei: bar graphRavi's data changes over time, so a line graph shows ups and downs. Mei wants to compare separate days, so a bar graph is best.
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Primary 4 Mathematics · Chapter 4 · Answers and explanations

Chapter 4 Revision Paper: Tables and Line Graphs (answers)

Section A · Multiple choice 10 marks

1. How many chocolate cupcakes were sold?1 mark

Cupcakes Sold at a Bake Sale0102030405060VanillaChocolateLemonMintBerryNumber of cupcakes
(A) 50(B) 60(C) 40(D) 6
Answer: (B) 60Find the Chocolate bar. Its top is on the line for 60, so 60 cupcakes were sold. (50 is Berry and 40 is Vanilla.)

2. Which flavour of cupcake was sold the least?1 mark

Cupcakes Sold at a Bake Sale0102030405060VanillaChocolateLemonMintBerryNumber of cupcakes
(A) Mint(B) Vanilla(C) Lemon(D) Berry
Answer: (C) LemonThe shortest bar is Lemon. Its top is at 20, the smallest number.

3. How many cold drinks were sold on Tuesday?1 mark

Drinks Sold at a School CanteenHotCold0510152025303540MonTueWedThuNumber of drinks
(A) 20(B) 35(C) 25(D) 15
Answer: (D) 15On Tue, the Cold bar (orange) reaches 15. (20 is the Hot bar.)

4. How many drinks were sold on Monday in all?1 mark

Drinks Sold at a School CanteenHotCold0510152025303540MonTueWedThuNumber of drinks
(A) 45(B) 30(C) 15(D) 20
Answer: (A) 45Monday: 15 hot and 30 cold. 15 + 30 = 45. (30 and 15 each leave out one bar.)

5. How many pupils chose Music in all?1 mark

Favourite SubjectSubjectPrimary 3Primary 4Art1422Music1816Science2025
(A) 18(B) 34(C) 16(D) 2
Answer: (B) 34Music row: 18 in Primary 3 and 16 in Primary 4. 18 + 16 = 34. (2 is the difference.)

6. What was the mass of the puppy in Month 3?1 mark

Mass of a Puppy04812162024Month 1Month 2Month 3Month 4Month 5Month 6Mass (kg)
(A) 12 kg(B) 16 kg(C) 14 kg(D) 10 kg
Answer: (C) 14 kgThe Month 3 point is halfway between the lines for 12 and 16. Halfway is 14 kg.

7. In which month was the puppy 22 kg?1 mark

Mass of a Puppy04812162024Month 1Month 2Month 3Month 4Month 5Month 6Mass (kg)
(A) Month 4(B) Month 6(C) Month 3(D) Month 5
Answer: (D) Month 5Find 22 kg, halfway between 20 and 24. The point at that height is above Month 5.

8. How many cars were in the car park at 11 am?1 mark

Cars in a Car Park0204060801008 am9 am10 am11 am12 pm1 pmNumber of cars
(A) 60(B) 40(C) 80(D) 50
Answer: (A) 60The 11 am point is on the line for 60, so there were 60 cars.

9. Mina plots a point for 35 on a line graph. The scale goes up in tens (0, 10, 20, 30, 40, ...). Where should she put the point?1 mark

(A) On the line for 30(B) Halfway between the lines for 30 and 40(C) On the line for 40(D) Halfway between the lines for 20 and 30
Answer: (B) Halfway between the lines for 30 and 4035 is 5 more than 30 and 5 less than 40, so it is halfway between the lines for 30 and 40.

10. Which one is best shown by a line graph?1 mark

(A) The number of pupils in four classes(B) The favourite colours of 20 children(C) The mass of a baby each month for one year(D) The number of books on five shelves
Answer: (C) The mass of a baby each month for one yearA line graph shows how something changes over time. The other three only compare separate groups, so a bar graph or table suits them better.

Section B · Short answers 4 marks

11. How many cupcakes were sold in all?1 mark

Cupcakes Sold at a Bake Sale0102030405060VanillaChocolateLemonMintBerryNumber of cupcakes
Answer: 20040 + 60 + 20 + 30 + 50 = 200 cupcakes.

12. How many more cold drinks than hot drinks were sold on Thursday?1 mark

Drinks Sold at a School CanteenHotCold0510152025303540MonTueWedThuNumber of drinks
Answer: 30Thursday: cold 35, hot 5. 35 − 5 = 30 more cold drinks.

13. Find the missing number for Mei in July.1 mark

Books Read in Three MonthsPupilJunJulAugTotalKen1215936Mei8181440Sam1610733
Answer: 18Mei read 40 books in all. 40 − 8 − 14 = 18. So Mei read 18 books in July.

14. By how many kilograms did the puppy's mass increase from Month 4 to Month 5?1 mark

Mass of a Puppy04812162024Month 1Month 2Month 3Month 4Month 5Month 6Mass (kg)
Answer: 6 kgMonth 4: 16 kg. Month 5: 22 kg. 22 − 16 = 6 kg.

Section C · Show your working 16 marks

15. How many more cupcakes were Chocolate and Berry together than Lemon and Mint together?2 marks

Cupcakes Sold at a Bake Sale0102030405060VanillaChocolateLemonMintBerryNumber of cupcakes
Answer: 60Chocolate and Berry: 60 + 50 = 110. Lemon and Mint: 20 + 30 = 50. 110 − 50 = 60 more cupcakes.

16. On which two days did the canteen sell the same number of drinks in all? How many drinks was that each day?2 marks

Drinks Sold at a School CanteenHotCold0510152025303540MonTueWedThuNumber of drinks
Answer: Tuesday and Wednesday, 35 drinks eachMon: 15 + 30 = 45. Tue: 20 + 15 = 35. Wed: 25 + 10 = 35. Thu: 5 + 35 = 40. Tuesday and Wednesday both have 35 drinks.

17. How many more books did the three pupils read in July than in June?2 marks

Books Read in Three MonthsPupilJunJulAugTotalKen1215936Mei8181440Sam1610733
Answer: 7First find the missing numbers. Mei in July: 40 − 8 − 14 = 18. June: 12 + 8 + 16 = 36. July: 15 + 18 + 10 = 43. 43 − 36 = 7 more books.

18. Between which two months did the puppy's mass increase the most? By how many kilograms?2 marks

Mass of a Puppy04812162024Month 1Month 2Month 3Month 4Month 5Month 6Mass (kg)
Answer: Month 4 and Month 5, 6 kgIncreases: Month 1 to 2: 4, Month 2 to 3: 4, Month 3 to 4: 2, Month 4 to 5: 22 − 16 = 6, Month 5 to 6: 2. The greatest is 6 kg, from Month 4 to Month 5.

19. Between which two times did the number of cars decrease the most? By how many cars?2 marks

Cars in a Car Park0204060801008 am9 am10 am11 am12 pm1 pmNumber of cars
Answer: 11 am and 12 pm, 40 carsThe line goes down from 10 am to 11 am (80 to 60, which is 20) and from 11 am to 12 pm (60 to 20, which is 40). The greatest decrease is 40 cars, from 11 am to 12 pm.

20. Each cupcake was sold for $2. The stall spent $120 on ingredients. How much money did the stall have left after paying for the ingredients?2 marks

Cupcakes Sold at a Bake Sale0102030405060VanillaChocolateLemonMintBerryNumber of cupcakes
Answer: $280Cupcakes sold: 40 + 60 + 20 + 30 + 50 = 200. Money collected: 200 × $2 = $400. $400 − $120 = $280.

21. How many more cars were in the car park at 9 am and 10 am together than at 12 pm and 1 pm together?2 marks

Cars in a Car Park0204060801008 am9 am10 am11 am12 pm1 pmNumber of cars
Answer: 809 am and 10 am: 70 + 80 = 150. 12 pm and 1 pm: 20 + 50 = 70. 150 − 70 = 80 more cars.

22. On Friday, the canteen sold twice as many hot drinks as on Thursday. The total number of drinks sold on Friday was the same as on Monday. How many cold drinks were sold on Friday?2 marks

Drinks Sold at a School CanteenHotCold0510152025303540MonTueWedThuNumber of drinks
Answer: 35Thursday hot drinks: 5, so Friday hot drinks: 5 × 2 = 10. Monday total: 15 + 30 = 45, so Friday total is 45. Cold drinks: 45 − 10 = 35.
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