Number worksheet — GCSE Foundation

1.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

2.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

3.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

4.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

5.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

6.Work out 5/6 × 2/9, giving your answer in its simplest form.

7.Write down the value of 3⁰

8.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

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

10.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

11.Round 0.0759 to 2 decimal places.

12.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

13.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

14.Work out the value of ∛8.

15.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.