Printable · GCSE Foundation · ages 14-16

Fractions and decimals, including recurring decimals worksheet — GCSE Foundation

Fifteen questions on "fractions and decimals, including recurring decimals" — DfE statement N10. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Fractions and decimals, including recurring decimals worksheet — GCSE Foundation

Maths · GCSE Foundation · N10 · Fractions and decimals, including recurring decimals · Non-calculator · 15 questions

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1.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35
(a)0.35, 3/8, 0.4
(b)3/8, 0.35, 0.4
(c)0.4, 3/8, 0.35
(d)0.35, 0.4, 3/8
2.Write 0.36 as a fraction in its simplest form.
(a)36/10
(b)9/25
(c)9/50
(d)3/10
3.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.
(a)25/2
(b)1/125
(c)4/5
(d)2/25
4.Write the fraction 3/4 as a decimal.
(a)0.7
(b)0.34
(c)0.75
(d)0.25
5.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.
(a)1/9
(b)9/100
(c)9/10
(d)9
6.Write 0.35 as a fraction in its lowest terms.
(a)7/25
(b)35/10
(c)3/10
(d)7/20
7.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.
(a)4/5
(b)63/20
(c)9/5
(d)9/50
8.Write the fraction 9/25 as a decimal.
(a)0.9
(b)2.8
(c)0.36
(d)0.925
9.Write 0.45 as a fraction in its simplest form.
(a)9/20
(b)9/2
(c)9/100
(d)9/200
10.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
(a)27/20
(b)17/50
(c)27/5
(d)27/80
11.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.
(a)31/50
(b)25/4
(c)5/8
(d)8/5
12.Write 0.325 as a fraction in its simplest form.
(a)13/40
(b)3/8
(c)8/25
(d)13/4
13.Write 0.25 as a fraction in its simplest form.
(a)1/40
(b)1/25
(c)2/5
(d)1/4
14.Write 0.06 as a fraction in its simplest form.
(a)3/5
(b)3/50
(c)1/6
(d)3/500
15.Write the fraction 47/50 as a decimal.
(a)0.094
(b)4.7
(c)0.94
(d)0.47

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