Number worksheet — GCSE Foundation

1.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

2.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

3.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

4.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.

5.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

6.Work out √144

7.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

8.Write 0.25 as a fraction in its simplest form.

9.Write 90 as a product of its prime factors.

10.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

11.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

12.Work out √25 + 4² − 12 ÷ 3

13.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

14.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

15.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.