Number worksheet — GCSE Higher

1.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

2.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.

3.£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.

4.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

5.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.

6.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.

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

8.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

9.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

10.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

11.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

12.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

13.Work out the reciprocal of (2 + 3)

14.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

15.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.