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.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.
- 3.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?
- 4.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
- 5.Simplify (x⁻²)³, giving your answer as a fraction.
- 6.Round 0.006482 to 2 significant figures.
- 7.Round 0.006852 to 2 significant figures.
- 8.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 9.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 10.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
- 11.Work out √(4 × 9)
- 12.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 13.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.
- 14.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
- 15.Round 592.5 to the nearest 10.
Build your own mix at the worksheet builder.