Printable · GCSE Higher · ages 14-16

Fractions and decimals, including recurring decimals worksheet — GCSE Higher

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 Higher

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

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1.A set of kitchen scales displays the mass of a bag of sugar as 0.63 recurring kilograms, meaning 0.636363... kg with the block '63' repeating forever. Convert this mass to a fraction of a kilogram, then work out the mass in grams, giving your answer to the nearest gram.
(a)700 g
(b)626 g
(c)630 g
(d)636 g
2.Write 5/6 as a decimal, showing clearly which digit recurs.
(a)0.85555...
(b)0.83333...
(c)0.083333...
(d)0.83
3.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
(a)3/4, 0.72, 0.7
(b)3/4, 0.7, 0.72
(c)0.7, 0.72, 3/4
(d)0.72, 3/4, 0.7
4.Write 0.875 as a fraction in its simplest form.
(a)7/8
(b)7/80
(c)9/10
(d)8/7
5.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.
(a)1/2
(b)9/20
(c)5/11
(d)4/9
6.Write 0.325 as a fraction in its simplest form.
(a)13/40
(b)3/8
(c)8/25
(d)13/4
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 0.06 as a fraction in its simplest form.
(a)3/5
(b)3/50
(c)1/6
(d)3/500
9.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
10.Write 0.36 as a fraction in its simplest form.
(a)36/10
(b)9/25
(c)9/50
(d)3/10
11.Write 0.35 as a fraction in its lowest terms.
(a)7/25
(b)35/10
(c)3/10
(d)7/20
12.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
(a)3/10
(b)27/100
(c)3/11
(d)2/9
13.Write down the exact decimal value of the fraction 1/6.
(a)0.1666...
(b)0.16
(c)0.17
(d)0.6
14.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
(a)2/11
(b)17/99
(c)9/50
(d)1/5
15.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

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