Number worksheet — GCSE Higher

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.

2.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

3.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

4.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

5.Work out 3³ + 2⁴.

6.Write down the reciprocal of 0.2

7.Work out 3 × (−2)² − 5

8.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

9.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.

10.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

11.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

12.Work out the reciprocal of (2 + 3)

13.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

14.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.

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