Number worksheet — GCSE Foundation

1.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

2.Work out the value of √64.

3.Work out the lowest common multiple of 4 and 6.

4.Work out (−3) × 4 + 10

5.Work out ⁴√81

6.Work out the value of ∛8.

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

8.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

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

10.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.

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 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.

13.Work out 20 − 8 ÷ 2 + 1

14.Simplify (y³)⁴, giving your answer as a single power of y.

15.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.