Number worksheet — GCSE Foundation

1.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

2.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.

3.Work out 3 × (−2)² − 5

4.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

5.Work out 3 + 4 × (−2).

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

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

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

9.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

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.Work out 6² − 4².

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

13.Round 24,681 to the nearest 1,000.

14.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.

15.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.