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.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.
- 2.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
- 3.Write 0.36 as a fraction in its simplest form.
- 4.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.
- 5.Write 0.325 as a fraction in its simplest form.
- 6.Robert is converting 0.999... (with the 9s recurring forever) into a fraction. He lets x = 0.999... . Multiplying by 10 gives 10x = 9.999... . Subtracting x from 10x gives 9x = 9, so x = 1. Which statement correctly explains this result?
- 7.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
- 8.Write 0.875 as a fraction in its simplest form.
- 9.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.
- 10.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.
- 11.Write 5/6 as a decimal, showing clearly which digit recurs.
- 12.Write down the exact decimal value of the fraction 1/6.
- 13.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 14.Write 0.35 as a fraction in its lowest terms.
- 15.Write 0.06 as a fraction in its simplest form.
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