Number worksheet — GCSE Higher

1.Round 592.5 to the nearest 10.

2.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

3.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

4.Work out √144 − 2 × 3 + √25

5.Simplify (5² × 2³)³ ÷ (5³ × 2²)²

6.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

7.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.

8.Work out the value of (√5)⁴

9.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

10.Work out 5⁰ + 5¹ + 5²

11.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.

12.Work out the value of √(16 + 9)

13.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

14.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

15.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.