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.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
- 2.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.
- 3.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 4.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.
- 5.Work out the value of (√5)⁴
- 6.Write ∛(x²) as a single power of x.
- 7.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
- 8.Write 200 as a product of its prime factors, using index notation.
- 9.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 10.Work out (−2)² − 3
- 11.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.
- 12.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
- 13.Simplify x⁶ ÷ x²
- 14.Write 0.06 as a fraction in its simplest form.
- 15.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
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