Bar charts and time graphs – Year 4 maths worksheet answers to download as PDF

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1. Answer to Question 1

   1. The swimming bar reaches 9: 9 children.
   2. The tallest bar is football (14) and the shortest is tennis (5): football and tennis.
   3. 14 − 5 = 9 more children.
   4. 14 + 9 + 5 + 8 + 12 = 48 children.

2. Answer to Question 2

   1. The Tuesday bar reaches 25: 25 books.
   2. Thursday with 30 books.
   3. 30 − 10 = 20 more books.
   4. 10 + 25 + 15 + 30 = 80 books.

3. Answer to Question 3

   1. 5 symbols × 6 = 30 ice creams.
   2. 1 whole symbol and 1 half symbol: 6 + 3 = 9 ice creams.
   3. 4 symbols × 6 = 24: Sunday.
   4. 18 + 30 + 24 + 9 = 81 ice creams.

4. Answer to Question 4

   1. Apple: 10 (two groups of 5). Banana: 6 (one group of 5 and 1). Orange: 13 (two groups of 5 and 3). Grapes: 2. Frequencies 10, 6, 13, 2.
   2. The biggest frequency is 13: orange.
   3. 10 + 6 + 13 + 2 = 31 children.

5. Answer to Question 5

   1. The line is at 15 °C at 12 pm.
   2. The highest point is at 2 pm, with 18 °C.
   3. 18 − 6 = 12 °C.
   4. 18 − 12 = 6 °C.

6. Answer to Question 6

   1. The biggest number is 12, so a scale of 2 per square needs 6 squares: a good choice. Scales of 1 (12 squares) or 5 (too few lines) are less sensible, so 2 per square.
   2. Walk: 12 ÷ 2 = 6 squares; car: 8 ÷ 2 = 4 squares; bus: 6 ÷ 2 = 3 squares; cycle: 4 ÷ 2 = 2 squares.
   3. 12 + 8 + 6 + 4 = 30.
   4. Give the chart a title, label the horizontal axis (way to school) and the vertical axis (number of children), write the scale numbers 0, 2, 4, … 12 and leave equal gaps between bars.

7. Answer to Question 7

   1. January (60 mm) was the wettest and May (20 mm) the driest.
   2. 60 − 20 = 40 mm.
   3. 60 + 40 + 50 = 150 mm.
   4. Total 60 + 40 + 50 + 30 + 20 = 200 mm. 200 ÷ 5 = 40 mm.

8. Answer to Question 8

   1. 30 passengers.
   2. Friday with 50 passengers. 50 − 35 = 15 more than Monday.
   3. 35 + 40 + 30 + 45 + 50 = 200 passengers.
   4. 50 × £2 = £100.

9. Answer to Question 9

   1. 5 symbols × 10 = 50 children.
   2. 2 symbols × 10 = 20 children.
   3. Fish has 3 symbols, so fish.
   4. 40 + 50 + 20 + 30 = 140 children.

10. Answer to Question 10

    1. 45 cm.
    2. 70 − 25 = 45 cm.
    3. Growth: 15, 20, 25 and 20 cm. The most is between weeks 3 and 4: 25 cm.
    4. The last week it grew 90 − 70 = 20 cm. 90 + 20 = 110 cm, so yes, 110 cm in week 6 is a reasonable guess.

11. Answer to Question 11

    1. The most were sold on Thursday (95), when it was 22 °C.
    2. 95 − 30 = 65 more.
    3. 30 + 50 + 70 + 95 + 85 = 330 ice creams.
    4. When the temperature is higher, more ice creams are sold: the highest temperature (22 °C) had the highest sales (95).

12. Answer to Question 12

    1. 16 children.
    2. 12 − 4 = 8 more.
    3. Rabbit and bird (4 each).
    4. 16 + 12 + 8 + 4 + 4 = 44 children. A quarter of 44 is 11, and 16 is more than 11, so no, more than a quarter have a dog.

13. Answer to Question 13

    1. 60 litres.
    2. At 12 pm (100 litres).
    3. 100 − 40 = 60 litres.
    4. 100 − 40 = 60 litres needed, 60 ÷ 20 = 3 hours.

14. Answer to Question 14

    1. The biggest number is 40, so a scale of 5 km per square (8 squares) or 10 km per square (4 squares) is sensible.
    2. 5 bars. Cara: 40 ÷ 5 = 8 squares.
    3. 40 − 10 = 30 km.
    4. 25 + 15 + 40 + 30 + 10 = 120 km.

15. Answer to Question 15

    1. Class 4B read the most: 60 books.
    2. 45 + 35 = 80 books.
    3. 45 + 60 + 35 + 50 = 190 books.
    4. 60 ÷ 24 = 2.5, so 2.5 books per child (more than 2, less than 3).
    5. 200 − 190 = 10 books: they missed the target by 10.

16. Answer to Question 16

    1. 107 − 100 = 7 cm.
    2. Growth: 7, 7, 6 and 6 cm. The most was in the first two years: 7 cm (age 4 to 5 and age 5 to 6).
    3. 126 − 100 = 26 cm.
    4. 130 − 126 = 4 cm.
    5. Between 4 and 5 he grew 7 cm; between 7 and 8 he grew 6 cm. The first is bigger, so the graph is steeper between ages 4 and 5.

17. Answer to Question 17

    1. 120 + 200 + 180 + 60 = 560.
    2. 90 + 150 + 160 + 40 = 440.
    3. Lunchtime: 200 and 150.
    4. 560 + 440 = 1 000: it exactly reached the target.
    5. Choose 20 or 50 per square. Scale 20 means 10 squares for 200, which is clear.

18. Answer to Question 18

    1. 4 matches.
    2. 2 goals (4) + 3 goals (1) + 4 goals (1) = 6 matches.
    3. 0 × 1 + 1 × 3 + 2 × 4 + 3 × 1 + 4 × 1 = 0 + 3 + 8 + 3 + 4 = 18 goals.
    4. 3 matches means a bar 3 squares tall.
    5. 18 goals in 10 matches: 18 ÷ 10 = 1.8, which is less than 2. So no, the average is less than 2.

19. Answer to Question 19

    1. £40.
    2. 60 − 40 = £20.
    3. Savings each week: 10, 15, 15, 20, 15. The most is in week 4: £20.
    4. 90 − 75 = £15 more.
    5. She needs £15 more, which is one more week: week 6.

20. Answer to Question 20

    1. 60 − (12 + 18 + 15) = 60 − 45 = 15 pupils.
    2. 12 ÷ 3 = 4; 18 ÷ 3 = 6; 15 ÷ 3 = 5; sport 15 ÷ 3 = 5 squares.
    3. 60 + 9 = 69 pupils.
    4. Art: 18 out of 69. Divide the top and the bottom by 3: 6/23.