Number worksheet — GCSE Higher

1.Work out (−2)² − 3

2.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

3.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

4.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

5.Work out 36 ÷ (2 × 3)

6.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

7.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

8.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

9.Work out 100 − 4 × 5²

10.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾

11.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

12.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

13.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

14.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.

15.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.