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.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 2.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 3.2/3 of an amount of money is £30. Work out the amount.
- 4.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 5.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
- 6.Work out 36 ÷ (2 × 3)
- 7.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 8.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 9.Given that 2⁵ = 32, work out 2⁶.
- 10.4ˣ = 64. Work out the value of x.
- 11.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
- 12.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 13.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.
- 14.Write 0.36 as a fraction in its simplest form.
- 15.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
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