Number worksheet — GCSE Foundation

1.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

2.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

3.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

4.Work out 3 + 4 × 2²

5.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

6.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

7.Write down the value of 7⁰

8.Which of these is written correctly in standard form?

9.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

10.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.

11.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

12.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

13.Work out √144 − 2 × 3 + √25

14.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

15.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.