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.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.
- 2.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 3.Work out ∛(−27) + ∛8
- 4.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.
- 5.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 6.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.
- 7.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 8.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 9.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.
- 10.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.
- 11.Work out √144 − 2 × 3 + √25
- 12.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
- 13.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.
- 14.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?
- 15.Work out 35% of 180.
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