Number worksheet — GCSE Higher

1.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

2.Simplify √8 + √18, giving your answer in the form k√2.

3.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

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

5.Work out √(4 × 9)

6.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

7.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

8.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.

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

10.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

11.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

12.Write 5/6 as a decimal, showing clearly which digit recurs.

13.Work out the value of √(16 + 9)

14.Write 5,000,000 in standard form.

15.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.