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.
part Higher
Fractions and decimals, including recurring decimals worksheet — GCSE Higher
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- 1.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.
- 2.Write 0.36 as a fraction in its simplest form.
- 3.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 4.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.
- 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.
- 6.Write 5/6 as a decimal, showing clearly which digit recurs.
- 7.Write 0.06 as a fraction in its simplest form.
- 8.Write 0.875 as a fraction in its simplest form.
- 9.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
- 10.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 11.Write 0.35 as a fraction in its lowest terms.
- 12.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.
- 13.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.
- 14.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.
- 15.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.
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