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.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 2.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.
- 3.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
- 4.Work out 3³ + 2⁴.
- 5.Work out ⁴√16
- 6.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.
- 7.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 8.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 9.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.
- 10.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 11.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 12.Simplify (3a²)² × (2a)³
- 13.Write 12 as a product of its prime factors.
- 14.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 15.Which statement about the number 91 is correct?
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