Number worksheet — GCSE Foundation

1.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

2.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.

3.Work out (2/3)² + (1/2)². Give your answer as a fraction.

4.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

5.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

6.Write the fraction 3/4 as a decimal.

7.In the number 3.472, work out the value of the digit 7.

8.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

9.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

10.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

11.Work out 15% of £40, using 10% and 5%.

12.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

13.Which of these numbers is the largest: −9, −7, −4, −2?

14.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

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