Number worksheet — GCSE Higher

1.Write 0.35 as a fraction in its lowest terms.

2.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.

3.√700 lies between which two consecutive integers?

4.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

5.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.

6.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

7.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

8.A country has an area of 25,000,000 hectares. Write this area in standard form.

9.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.

10.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

11.Work out √3 × √12, giving your answer as an integer.

12.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

13.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

14.Work out the value of √49 + ∛27

15.Work out 5⁰ + 5¹ + 5²