Number worksheet — GCSE Foundation

1.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

2.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

3.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.

4.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

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

6.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

7.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

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

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

10.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

11.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

12.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

13.Round 24,681 to the nearest 1,000.

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

15.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.