Bar charts, pictograms and tables – Year 3 maths worksheet answers to download as PDF

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1. Answer to Question 1

   1. Dogs: one gate of 5 and 3 more marks. 5 + 3 = 8.
   2. Cats: one gate of 5 and 1 more mark. 5 + 1 = 6.
   3. Rabbits: 4 single marks, no gate. 4.
   4. Fish: one gate of 5 and 2 more marks. 5 + 2 = 7.
   5. Each child chose one pet, so add all the frequencies: 8 + 6 = 14, 14 + 4 = 18, 18 + 7 = 25 children.

2. Answer to Question 2

   1. Read the Wednesday row of the table: 15 lunches.
   2. Look for the smallest number in the column: 5, on Friday.
   3. Add Monday and Tuesday: 12 + 8 = 20 lunches.
   4. Add all five days, looking for easy pairs: 12 + 8 = 20, 15 + 5 = 20, then 20 + 20 + 10 = 50 lunches.

3. Answer to Question 3

   1. Monday has 3 circles and each circle stands for 2 balloons: 3 × 2 = 6 balloons.
   2. Tuesday has 5 circles: 5 × 2 = 10 balloons.
   3. Wednesday has 4 circles: 4 × 2 = 8 balloons.
   4. The day with the most circles sold the most balloons. Tuesday has 5 circles, so Tuesday sold the most (10 balloons).

4. Answer to Question 4

   1. Go to the top of the football bar and read across to the scale: 12 children chose football.
   2. The dance bar reaches the line for 8, so 8 children chose dance.
   3. The tallest bar shows the most popular activity. The football bar is the tallest, so football is the most popular.
   4. Football has 12 and swimming has 6. The difference is 12 − 6 = 6 more children.

5. Answer to Question 5

   1. All the numbers are 5 or less, so steps of 1 fit well: the chart stays small and every bar ends on a line.
   2. All the numbers are multiples of 10, so steps of 10 are best. The scale only needs to go up to 40.
   3. 12, 8, 16 and 4 are all even numbers up to 16, so steps of 2 work: every bar ends exactly on a line. Steps of 5 or 10 would make the bars hard to read.
   4. 25, 15, 30 and 10 are all multiples of 5, so steps of 5 are best and the scale goes up to 30.

6. Answer to Question 6

   1. Each star stands for 5 stickers. Anna has 4 stars: 4 × 5 = 20 stickers.
   2. Ben has 7 stars: 7 × 5 = 35 stickers.
   3. Cara has 6 stars: 6 × 5 = 30 stickers.
   4. Add the three totals: 20 + 35 = 55, then 55 + 30 = 85 stickers. Another way: 17 stars × 5 = 85.

7. Answer to Question 7

   1. Read the top of the cheese bar against the scale: 14 cheese sandwiches.
   2. The egg bar shows 6. The difference is 14 − 6 = 8 more cheese sandwiches.
   3. Read every bar: cheese 14, ham 10, egg 6, tuna 8. Add them: 14 + 10 = 24, 24 + 6 = 30, 30 + 8 = 38 sandwiches.
   4. 10 ham sandwiches were sold at £2 each: 10 × £2 = £20.

8. Answer to Question 8

   1. 4 symbols × 10 = 40.
   2. 7 symbols × 10 = 70.
   3. 70 − 40 = 30.
   4. Total for Mon, Wed, Thu: 40 + 20 + 70 = 130. 160 is more.

9. Answer to Question 9

   1. February, 30 mm.
   2. 45 − 35 = 10 mm.
   3. 45 + 30 + 35 + 40 = 150 mm.
   4. 160 − 150 = 10 mm.

10. Answer to Question 10

    1. 18.
    2. Dev, with 6.
    3. 18 + 12 + 6 + 14 = 50.
    4. Ella + Dev = 12 + 6 = 18. Sam scored 18, which is equal, not more. He is not right.

11. Answer to Question 11

    1. 15 + 10 + 20 + 5 = 50.
    2. Burgers got the most: 20 − 5 = 15 more.
    3. The numbers are multiples of 5 and the biggest is 20, so a scale in steps of 5 fits all bars exactly.
    4. 15 + 10 = 25, which is half of the total.

12. Answer to Question 12

    1. 5 symbols × 4 = 20.
    2. 3 symbols × 4 = 12.
    3. 40 − 20 − 12 = 8. That is 2 symbols.
    4. 4 ÷ 4 = 1 symbol.

13. Answer to Question 13

    1. 20 + 8 = 28.
    2. Dance has 8, and 8 + 4 = 12. Gym has 12.
    3. 16 + 12 + 20 + 8 = 56.
    4. Use steps of 4 up to 20. The bars have heights 16, 12, 20 and 8.

14. Answer to Question 14

    1. 28 − (3 + 6 + 5) = 28 − 14 = 14.
    2. June, with 6.
    3. 6 ÷ 2 = 3 symbols.
    4. 5 ÷ 2 = 2 and a half. Draw 2 whole symbols and 1 half symbol.

15. Answer to Question 15

    1. Read the top of the bar: £40.
    2. 40 − 25 = £15.
    3. 40 + 25 + 15 + 30 = £110.
    4. 150 − 110 = £40 more. Half of 150 is 75. They raised more than half, so it is fair to say they went past halfway.

16. Answer to Question 16

    1. 24 + 12 + 18 = 54. 60 − 54 = 6.
    2. Football: 24 ÷ 6 = 4. Tennis: 12 ÷ 6 = 2. Swimming: 18 ÷ 6 = 3. Other: 6 ÷ 6 = 1.
    3. 4 + 2 + 3 + 1 = 10. Check: 10 × 6 = 60.
    4. The numbers 24, 12, 18 and 6 are all multiples of 6, so steps of 6 fit every bar exactly.

17. Answer to Question 17

    1. Warmest: Saturday at 26°C. Coolest: Tuesday at 18°C.
    2. 26 − 18 = 8°C.
    3. The biggest is 26. Use steps of 2 up to 26, or steps of 5 up to 30. Steps of 2 show every value exactly.
    4. 21 + 24 + 23 = 68. In order: 21, 23, 24. The middle one is 23.

18. Answer to Question 18

    1. 8 symbols × 10 = 80.
    2. 6 symbols × 10 = 60.
    3. Half of 80 = 40 bottles, which is 4 symbols.
    4. 80 + 60 + 40 = 180. 250 − 180 = 70 more are needed. No, not yet.

19. Answer to Question 19

    1. Dog is 8, the biggest. True.
    2. 6 is not 2 × 4 = 8. False. Dogs are twice as popular as rabbits.
    3. 8 + 6 + 4 = 18. True.
    4. 6 − 4 = 2. True.

20. Answer to Question 20

    1. 2 × 8 = 16.
    2. 10 + 16 + 8 = 34. 40 − 34 = 6.
    3. The biggest number is 16. Steps of 2 up to 16 show every value. The bars are 10, 16, 8 and 6 tall.
    4. Red + yellow = 10 + 6 = 16. Blue = 16. They are equal, so the statement is not true.