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.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 2.Write down the exact decimal value of the fraction 1/6.
- 3.Write 0.875 as a fraction in its simplest form.
- 4.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.
- 5.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.
- 6.Work out the value of √49 + ∛27
- 7.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.
- 8.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 9.Work out the reciprocal of (2 + 3)
- 10.Write 0.36 as a fraction in its simplest form.
- 11.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
- 12.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?
- 13.Simplify (y³)⁴, giving your answer as a single power of y.
- 14.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.
- 15.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
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