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.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
- 2.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
- 3.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 4.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 5.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.
- 6.Work out 3.7 × 24.
- 7.Write 0.36 as a fraction in its simplest form.
- 8.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 9.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
- 10.Work out how many factors 36 has.
- 11.Find the missing number: 17 × ▢ = 391
- 12.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.
- 13.Which of these decimals lies between 1/4 and 2/5?
- 14.Which of these statements about −0.7 and −0.25 is true?
- 15.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
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