Fractions and decimals: tenths and hundredths – Year 4 maths worksheet answers to download as PDF

← Back to the worksheet

1. Answer to Question 1

   1. 23 of the 100 squares are shaded: ²³⁄₁₀₀ = 0.23 (2 tenths and 3 hundredths).
   2. 40 of the 100 squares are shaded: ⁴⁰⁄₁₀₀ = 0.40 = 0.4. This is the same as ⁴⁄₁₀.
   3. 7 of the 100 squares are shaded: ⁷⁄₁₀₀ = 0.07 (0 tenths and 7 hundredths).

2. Answer to Question 2

   Fraction	Decimal
   3⁄10	0.3
   9⁄10	0.9
   47⁄100	0.47
   8⁄10	0.8
   5⁄100	0.05
   12⁄100	0.12

   0.8 means 8 tenths, so it is ⁸⁄₁₀ (or ⁸⁰⁄₁₀₀). 0.05 means 0 tenths and 5 hundredths, so it is ⁵⁄₁₀₀.

3. Answer to Question 3

   1. The 7 is in the tenths column: 7 tenths = 0.7.
   2. The 2 is in the tenths column: 2 tenths = 0.2.
   3. The 8 is in the ones column: 8.
   4. The 9 is in the tenths column: 9 tenths = 0.9.
   5. The 4 is in the hundredths column: 4 hundredths = 0.04.

4. Answer to Question 4

   1. Write with two places: 0.70, 0.07, 0.17, 0.71. Order: 0.07, 0.17, 0.7, 0.71.
   2. Compare whole numbers: 0.55 is smallest; 1.05 and 1.5 both start with 1 and 1.05 has 0 tenths; 5.1 is largest. Order: 0.55, 1.05, 1.5, 5.1.
   3. 0.45 < 0.50, so 0.45 < 0.5. 3.2 = 3.20, which is more than 3.19, so 3.2 > 3.19.

5. Answer to Question 5

   1. The dot is 7 steps after 2, and each step is 0.1, so it is at 2.7.
   2. The boxes are at 2.3, 2.5, 2.9 and 3.0: 2.3, 2.5, 2.9, 3 (3.0 = 3).
   3. Halfway is 2.5, 5 tenths from 2.

6. Answer to Question 6

   1. 9 ÷ 10 = 0.9, which rounds to 1.
   2. 74 ÷ 10 = 7.4, which rounds to 7.
   3. 5 ÷ 100 = 0.05, which rounds to 0.
   4. 386 ÷ 100 = 3.86, which rounds to 4.
   5. 250 ÷ 100 = 2.5, which rounds to 3.

7. Answer to Question 7

   1. ⁴⁄₁₀ = 0.4.
   2. 4 + 2 + 3 = 9 squares out of 10, so ⁹⁄₁₀ = 0.9.
   3. 10 − 9 = 1 square, so ¹⁄₁₀ = 0.1 is left.
   4. Yes, she is right: 0.9 + 0.1 = 1 whole bar.

8. Answer to Question 8

   1. £12.45 is 12 pounds and 45 pence: 12 + 0.4 + 0.05.
   2. £3.20 = 320 pence, because £1 = 100 p and £3.20 = 3 × 100 + 20.
   3. 3.20 + 4.75 = £7.95.
   4. 12.45 − 7.95 = £4.50.

9. Answer to Question 9

   1. Compare 2.45, 2.54, 2.40 and 2.05: Ben with 2.54 m.
   2. 2.54, 2.45, 2.4, 2.05.
   3. 2.45 → 2; 2.54 → 3; 2.4 → 2; 2.05 → 2.
   4. 2.54 − 2.40 = 0.14 m = 14 cm.

10. Answer to Question 10

    1. 0.5 kg = 500 g; 1.25 kg = 1 250 g; 0.75 kg = 750 g (1 kg = 1 000 g).
    2. 0.5 + 1.25 + 0.75 = 2.5 kg.
    3. Grapes and plums: 0.5 + 0.75 = 1.25 kg. The apples weigh 1.25 kg too. They are equal.
    4. 1.25 × £2 = £2.50. The apples cost £2.50.

11. Answer to Question 11

    1. 0.2 litres is 2 tenths, so ²⁄₁₀ of a litre.
    2. 2 ÷ 0.2: there are 10 tenths in each litre, so 20 tenths in 2 litres. 20 ÷ 2 = 10 glasses.
    3. 1.5 litres = 15 tenths. 15 ÷ 2 = 7 remainder 1, so 7 glasses with 0.1 litre (1 tenth) left over.
    4. 2 + 1.5 = 3.5 litres.

12. Answer to Question 12

    1. 6.8 − 4.3 = 2.5 cm.
    2. Growth: Week 2 is 2.5 cm; Week 3: 10.2 − 6.8 = 3.4 cm; Week 4: 15.5 − 10.2 = 5.3 cm. The biggest growth was in Week 4 (5.3 cm).
    3. 4.3 → 4; 6.8 → 7; 10.2 → 10; 15.5 → 16.
    4. 1 cm = 10 mm, so 15.5 cm = 155 mm.

13. Answer to Question 13

    1. Compare 15.30, 14.85, 15.03 and 14.90: Max was fastest with 14.85 s.
    2. 14.85, 14.9, 15.03, 15.3.
    3. 15.3 → 15; 14.85 → 15; 15.03 → 15; 14.9 → 15.
    4. The 85 is hundredths in the second place, not tenths. 14.85 is 14 ones, 8 tenths and 5 hundredths: 14 + 0.8 + 0.05.

14. Answer to Question 14

    1. 0.25 = ²⁵⁄₁₀₀; 0.4 = ⁴⁰⁄₁₀₀; 0.15 = ¹⁵⁄₁₀₀.
    2. 25 + 40 + 15 = 80, so they ate ⁸⁰⁄₁₀₀ = 0.8 of the cake.
    3. 100 − 80 = 20, so ²⁰⁄₁₀₀ = 0.2 is left.
    4. Bea (⁴⁰⁄₁₀₀) ate the most and Chen (¹⁵⁄₁₀₀) ate the least.

15. Answer to Question 15

    1. Compare £7.85, £8.05 and £7.60: Ben has the most. Order: £8.05, £7.85, £7.60.
    2. 5.20 − 2.50 = £2.70.
    3. £3.05 − £2.00 = £1.05 = 105 p.
    4. 7.85 + 8.05 + 7.60 = £23.50, which rounds to £24 (the tenths digit is 5).
    5. Ravi is right: 0.6 = 0.60, because 6 tenths is the same as 60 hundredths. But money should always be written with two decimal places, £7.60.

16. Answer to Question 16

    1. 1.35 m = 135 cm; 2.4 m = 240 cm; 0.85 m = 85 cm.
    2. 1.35 + 2.40 + 0.85 = 4.6 m.
    3. 4.6 × £2 = £9.20.
    4. 5 − 4.6 = 0.4 m (40 cm) more.
    5. Red + yellow = 1.35 + 0.85 = 2.20 m. Blue is 2.40 m, so she is right: blue is 0.2 m (20 cm) longer.

17. Answer to Question 17

    1. Compare 24.60, 27.15, 24.06 and 26.90. Cleo is fastest (24.06). Order: 24.06, 24.6, 26.9, 27.15.
    2. 24.6 → 25; 27.15 → 27; 24.06 → 24; 26.9 → 27.
    3. 10 × 25 = 250 m.
    4. Amy: 8 × 25 = 200 m. Ben: 6 × 25 = 150 m. Difference: 50 m.
    5. 27.15 − 26.90 = 0.25 s, a quarter of a second, so the coach is right.

18. Answer to Question 18

    1. 0.35 + 0.4 + 0.6 + 0.25 = 1.6 kg.
    2. 1.6 × 2 = 3.2 kg.
    3. Apples (0.6 kg) are the heaviest and bananas (0.25 kg) are the lightest.
    4. 3.2 kg is more than 3 kg, so two recipes fill the bowl with 0.2 kg to spare.
    5. Two recipes use 0.4 × 2 = 0.8 kg of grapes. 1 − 0.8 = 0.2 kg left.

19. Answer to Question 19

    1. Blue: ³⁶⁄₁₀₀ = 0.36; yellow: ²⁴⁄₁₀₀ = 0.24; red: ¹⁵⁄₁₀₀ = 0.15.
    2. 36 + 24 + 15 = 75, so ⁷⁵⁄₁₀₀ = 0.75 is coloured.
    3. 100 − 75 = 25 white squares, which is 0.25.
    4. 0.15 is less than 0.2 (0.20), so she is wrong.
    5. 0.9 = ⁹⁰⁄₁₀₀, so 90 squares are coloured. 90 − 75 = 15 green squares.

20. Answer to Question 20

    1. The number is 3.ab with a = 2b. The digits are 3 + a + b = 9, so 3b = 6 and b = 2, a = 4. The number is 3.42. Check: 3 + 4 + 2 = 9 and 4 = 2 × 2. (There is only one answer.)
    2. The number is 0.5x with x as the hundredths digit. The tenths digit is 5, so the hundredths digit is 5 + 3 = 8. The number is 0.58.
    3. For example 0.41, 0.45 and 0.49 (there are many others). The closest to 0.5 is 0.49, which is 1 hundredth less than 0.5.