Printable · GCSE Foundation · ages 14-16
Number worksheet — GCSE Foundation
Fifteen questions across the number statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Number worksheet — GCSE Foundation
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- 1.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 2.Work out (−3) × 4 + 2 × (−5)
- 3.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
- 4.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.
- 5.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20
- 6.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 7.Simplify x⁶ ÷ x²
- 8.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.
- 9.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.
- 10.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 11.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 12.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 13.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.
- 14.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?
- 15.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.
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