Number worksheet — GCSE Higher

1.Work out how many factors 100 has.

2.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

3.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

4.Write 7/12 as a decimal, showing clearly which digit is recurring.

5.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

6.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

7.Work out ∛(−27) + ∛8

8.Round 592.5 to the nearest 10.

9.Write 5/6 as a decimal, showing clearly which digit recurs.

10.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

11.Rationalise the denominator of 6/√3, giving your answer in its simplest form.

12.Work out 4368 ÷ 12.

13.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.

14.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

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