Number worksheet — GCSE Foundation

1.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

2.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.

3.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

4.Work out the value of ∛8.

5.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

6.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

7.Work out 3/8 of 96.

8.Which one of these statements about negative numbers is true?

9.Write down a prime number between 30 and 40.

10.Work out √49

11.Which of these units would be most appropriate to use when stating the mass of a small car?

12.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

13.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

14.Which of these numbers lies between −4 and −1 on a number line?

15.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?