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.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 2.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.
- 3.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.
- 4.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?
- 5.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 6.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 7.Write 0.36 as a fraction in its simplest form.
- 8.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 9.√700 lies between which two consecutive integers?
- 10.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
- 11.Simplify √45.
- 12.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.
- 13.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 14.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 15.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.
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