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
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- 1.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 2.Write 0.325 as a fraction in its simplest form.
- 3.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 4.Write down the exact decimal value of the fraction 1/6.
- 5.Write 0.36 as a fraction in its simplest form.
- 6.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.
- 7.Write 0.06 as a fraction in its simplest form.
- 8.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.
- 9.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.
- 10.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
- 11.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.
- 12.Write 5/6 as a decimal, showing clearly which digit recurs.
- 13.Write 0.35 as a fraction in its lowest terms.
- 14.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.
- 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.
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