Number worksheet — GCSE Foundation

1.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.

2.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

3.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

4.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

5.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.

6.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

7.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

8.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

9.Work out ∛(−27) + ∛8

10.Write down the reciprocal of 5/8

11.A courier's van has a weight limit of 850 kg for its parcels. The driver's display shows the total mass of the parcels loaded as 850 kg, correct to the nearest 5 kg. Decide whether the parcels are definitely within the weight limit.

12.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

13.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

14.Work out 2/5 of 45.

15.Is 120 divisible by 5? Give a reason for your answer.