Number worksheet — GCSE Foundation

1.Work out the lowest common multiple of 9 and 15.

2.Find the missing number: ▢ ÷ 15 = 24

3.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.

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

5.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

6.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

7.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

8.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

9.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

10.Work out 35% of 180.

11.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

12.Work out 20 − 8 ÷ 2 + 1

13.Write the fraction 47/50 as a decimal.

14.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.

15.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.