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.
Number worksheet — GCSE Higher
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- 1.Work out (−6) + (−4) × 3
- 2.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
- 3.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 4.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 5.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.
- 6.Work out √3 × √12, giving your answer as an integer.
- 7.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 8.Which of these statements about −0.7 and −0.25 is true?
- 9.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
- 10.4ˣ = 64. Work out the value of x.
- 11.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
- 12.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
- 13.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 14.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 15.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.
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