Number worksheet — GCSE Foundation

1.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

2.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

3.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

4.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.

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

6.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

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

8.Work out −7 − (−3).

9.Write 5,000,000 in standard form.

10.Is 120 divisible by 5? Give a reason for your answer.

11.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.

12.Work out 5 + 3 × (9 − 6)

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

14.Which statement about the number 91 is correct?

15.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.