Number worksheet — GCSE Foundation

1.Write down the symbol that makes this statement true: 3/10 ___ 0.3

2.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

3.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

4.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

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

6.Work out 8% of £250.

7.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

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

9.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

10.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

11.Work out 15% of £40, using 10% and 5%.

12.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

13.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

14.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

15.Work out −6 × (−3).