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 down the reciprocal of 0.2
- 2.Work out −4.5 + 2.8.
- 3.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
- 4.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.
- 5.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 6.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.
- 7.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 8.Write ∛(x²) as a single power of x.
- 9.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.
- 10.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 11.Simplify √45.
- 12.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 13.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
- 14.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.
- 15.Work out ∛64.
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