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.Work out the value of 6² − 4³.
- 2.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.
- 3.Work out the value of (1/3)⁻²
- 4.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 5.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 6.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 7.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 8.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 9.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.
- 10.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.
- 11.Which of these is written correctly in standard form?
- 12.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 13.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 14.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 15.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
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