Number worksheet — GCSE Foundation

1.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

2.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

3.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.

4.Write down the reciprocal of 0.2

5.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

6.A country has an area of 25,000,000 hectares. Write this area in standard form.

7.Which of these is equal to 5³?

8.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

9.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

10.Write 0.35 as a fraction in its lowest terms.

11.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

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

13.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

14.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

15.Work out 36 ÷ (2 × 3)