Number worksheet — GCSE Higher

1.Which statement about the number 91 is correct?

2.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

3.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

4.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

5.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

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

7.Work out ∛64.

8.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

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

10.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

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

13.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

14.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

15.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.