Number worksheet — GCSE Higher

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

2.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

3.Estimate the value of √45, giving your answer to the nearest whole number.

4.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.

5.Work out the value of √49 + ∛27

6.Write 0.325 as a fraction in its simplest form.

7.Work out ∛64.

8.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

9.Work out how many factors 36 has.

10.Work out −(−3)⁴ + (−3)³

11.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

12.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

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

14.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

15.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.