Number worksheet — GCSE Higher

1.Work out 36 ÷ (2 × 3)

2.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?

3.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

4.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

5.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

6.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

7.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

8.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

9.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

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

11.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.

12.Write down the reciprocal of 0.2

13.4ˣ = 64. Work out the value of x.

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

15.Work out √25 + 4² − 12 ÷ 3