Number worksheet — GCSE Higher

1.Round 0.006482 to 2 significant figures.

2.Write down the symbol that makes this statement true: −2/3 ___ −5/6

3.Write 0.875 as a fraction in its simplest form.

4.Which of these decimals lies between 1/4 and 2/5?

5.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

6.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

7.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

8.Simplify (y³)⁴, giving your answer as a single power of y.

9.Work out √225 ÷ 3.

10.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

11.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.

12.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

13.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

14.Simplify x⁷ × x⁴, giving your answer as a single power of x.

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