Number worksheet — GCSE Foundation

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

2.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

3.Work out √144 − 2 × 3 + √25

4.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

5.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

6.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

7.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

8.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

9.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

10.Which of these units would be most appropriate to use when stating the mass of a small car?

11.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

12.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

13.Simplify x⁷ × x⁴, giving your answer as a single power of x.

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

15.Write 0.0038 in standard form.