Number worksheet — GCSE Foundation

1.Write down the symbol that makes this statement true: 0.45 ___ 0.5

2.Work out √49

3.Given that 2⁵ = 32, work out 2⁶.

4.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

5.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

6.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

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

9.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

10.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

11.Write 200 as a product of its prime factors, using index notation.

12.Work out √25 + 4² − 12 ÷ 3

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

14.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

15.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.