Number worksheet — GCSE Foundation

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

2.Write 0.25 as a fraction in its simplest form.

3.Write 0.06 as a fraction in its simplest form.

4.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.

5.Write down the symbol that makes this statement true: −9 ___ −4

6.Work out 100 − 4 × 5²

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

8.Work out 1/2 of 1/4 of 80.

9.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

10.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

11.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

12.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

13.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

14.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

15.Work out 36 ÷ (2 × 3)