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 an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 2.Write ∛(x²) as a single power of x.
- 3.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
- 4.Simplify √8 + √18, giving your answer in the form k√2.
- 5.Work out 35% of 180.
- 6.Which statement about the number 91 is correct?
- 7.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 8.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.
- 9.Simplify (x⁻²)³, giving your answer as a fraction.
- 10.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 11.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 12.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 13.Work out √25 + 4² − 12 ÷ 3
- 14.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.
- 15.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
Build your own mix at the worksheet builder.