Fractions and decimals in real problems

Mathematics · Fractions · ages 8-9

Name ______________________ Date ____________

A rope is 2.0 m long. After cutting 0.5 m, how much is left?
- 1.5 m
- 2.5 m
- 1.0 m
0.3 of a kilogram is the same as 3/10 of a kilogram.
Circle one: True False
Write 35p as a decimal part of one pound.
Answer: ______________
What is 1/4 of £4.00?
- £1.00
- £2.00
- £1.60
Find 3/10 of 1 kg. Give your answer in grams.
Answer: ______________
Which fraction is the same as 0.75?
- 3/4
- 7/5
- 5/7
- 75/10
Maya saves £1.50 every week. How much money has she saved after 4 weeks? Give your answer in pounds.
Answer: ______________
What is 1/2 of £3.20?
- £1.60
- £1.50
- £0.80
- £2.20
Tom wants 1/4 of £3.20. He divides £3.20 by 8 and says the answer is £0.40. What is the correct amount?
- £0.40
- £1.60
- £0.80
Aisha's bottle holds 1.5 litres. She drinks 0.75 litres. What fraction of the bottle is left?
- 3/4
- 1/2
- 1/4

Answer key

For grown-ups. Fold this page away before handing over the rest.

1.5 m · 2.0 − 0.5 = 1.5 m. Subtracting adds up to less, not more.
True · The first digit after the decimal point counts tenths, so 0.3 means 3 tenths, just like 3/10.
0.35 · 35p is 35 hundredths of a pound, which is £0.35.
£1.00 · Divide by the bottom number of the fraction: £4.00 ÷ 4 = £1.00.
300 · 1 kg is 1000 g, so 3/10 of 1000 g is 300 g.
3/4 · 0.75 means 75 hundredths, and 75/100 simplifies to 3/4.
6 · £1.50 multiplied by 4 weeks is £6.00.
£1.60 · Half of £3.20 is £1.60.
£0.80 · 1/4 means divide by 4, not 8. £3.20 ÷ 4 = £0.80. Tom used the wrong number.
1/2 · 1.5 − 0.75 = 0.75 litres left, and 0.75 is half of 1.5, so 1/2 of the bottle is left.