Number worksheet — GCSE Higher

1.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

2.Write 0.35 as a fraction in its lowest terms.

3.Work out ∛(−27) + ∛8

4.Write down the exact decimal value of the fraction 1/6.

5.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

6.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

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

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

9.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.

10.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

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

12.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

13.Work out 4368 ÷ 12.

14.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

15.Work out √225 ÷ 3.