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.Write 200 as a product of its prime factors, using index notation.
- 2.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.
- 3.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 4.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
- 5.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 6.Work out how many factors 36 has.
- 7.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
- 8.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.
- 9.Simplify (3a²)² × (2a)³
- 10.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
- 11.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.
- 12.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?
- 13.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 14.Work out −(−3)⁴ + (−3)³
- 15.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
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