Number worksheet — GCSE Foundation

1.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

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

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

4.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.

5.Work out 3/8 of 96.

6.Work out the value of 2⁻²

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

9.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

10.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

11.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

12.Simplify x⁶ ÷ x²

13.Write 200 as a product of its prime factors, using index notation.

14.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

15.Work out 20 − 8 ÷ 2 + 1