Number worksheet — GCSE Higher

1.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.

2.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

3.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

4.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

5.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

6.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

7.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

8.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.

9.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.

10.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

11.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.

12.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

13.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

14.Write 7/12 as a decimal, showing clearly which digit is recurring.

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