Number worksheet — GCSE Foundation

1.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.

2.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

3.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.

4.Write down the symbol that makes this statement true: 0.45 ___ 0.5

5.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

6.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

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

8.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

9.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

10.Work out (−2)² − 3

11.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

12.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

13.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

14.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

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