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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.Which of these statements about −0.7 and −0.25 is true?
- 2.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
- 3.Work out the value of 6² − 4³.
- 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.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 6.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.
- 7.Round 0.006482 to 2 significant figures.
- 8.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 9.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
- 10.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?
- 11.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
- 12.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.
- 13.Work out √144 − 2 × 3 + √25
- 14.Work out 5⁰ + 5¹ + 5²
- 15.Write ∛(x²) as a single power of x.
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