Number worksheet — GCSE Foundation

1.Estimate the value of √45, giving your answer to the nearest whole number.

2.Which of these statements about −0.7 and −0.25 is true?

3.Work out 250 ÷ 1000.

4.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

5.Write down the value of 7⁰

6.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.

7.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.

8.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

9.Work out the lowest common multiple of 9 and 15.

10.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

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

12.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

13.Work out the highest common factor of 20 and 32.

14.Write the mixed number 2 1/4 as an improper fraction.

15.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.