Number worksheet — GCSE Higher

1.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.

2.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

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

4.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

5.Work out 3³ + 2⁴.

6.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

7.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

8.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

9.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

10.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

11.Write 5,000,000 in standard form.

12.Work out √25 + 4² − 12 ÷ 3

13.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

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

15.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?