Number worksheet — GCSE Higher

1.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.

2.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

3.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

4.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

5.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

6.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

7.Work out the value of 2⁻⁴

8.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

9.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

10.Work out how many factors 36 has.

11.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.

12.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

13.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

14.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

15.Round 592.5 to the nearest 10.