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
MathsUKwww.geekhero.co.uk
- 1.A country has an area of 25,000,000 hectares. Write this area in standard form.
- 2.Work out (−3) × 4 + 2 × (−5)
- 3.Which of these is written correctly in standard form?
- 4.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.
- 5.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 6.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 7.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 8.Work out the value of (1/3)⁻²
- 9.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
- 10.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
- 11.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 12.Given that 2⁵ = 32, work out 2⁶.
- 13.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.
- 14.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 15.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
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