Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
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Number worksheet — GCSE Higher
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- 1.Work out (−2)³ + (−3)² − (−4)
- 2.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 3.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
- 4.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.
- 5.Write 0.35 as a fraction in its lowest terms.
- 6.Work out 3³ + 2⁴.
- 7.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 8.Work out (−6) + (−4) × 3
- 9.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
- 10.Work out ∛(−27) + ∛8
- 11.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 12.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.
- 13.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
- 14.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
- 15.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
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