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 jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.
- 2.Simplify ⁴√(16a⁸b¹²)
- 3.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
- 4.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.
- 5.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
- 6.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
- 7.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 8.Simplify √8 + √18, giving your answer in the form k√2.
- 9.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
- 10.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 11.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.
- 12.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.
- 13.Given that 2⁵ = 32, work out 2⁶.
- 14.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.
- 15.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
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