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
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- 1.Work out the value of (1/3)⁻²
- 2.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.
- 3.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.
- 4.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
- 5.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 6.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
- 7.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
- 8.Work out (−2)³ + (−3)² − (−4)
- 9.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 10.Work out 6² − 4².
- 11.Work out 4368 ÷ 12.
- 12.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 13.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 14.Work out how many factors 100 has.
- 15.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?
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