Number worksheet — GCSE Higher

1.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

2.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.

3.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

4.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

5.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?

6.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.

7.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

8.Write 0.005 in standard form.

9.Simplify x⁶ ÷ x²

10.Work out −4.5 + 2.8.

11.Work out 6² − 4².

12.Work out 10% of 30% of £200.

13.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

14.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

15.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.