Number worksheet — GCSE Foundation

1.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

2.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

3.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

4.Work out 4π + 2π, giving your answer as a multiple of π.

5.Which of these numbers lies between −4 and −1 on a number line?

6.Write the fraction 3/4 as a decimal.

7.Work out ⁴√81

8.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

9.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

10.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.

11.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.

12.Which one of these statements is true?

13.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

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

15.Round 6.283 to 1 significant figure.