Number worksheet — GCSE Foundation

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

2.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

3.Work out 250 ÷ 1000.

4.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

5.Write the mixed number 2 1/4 as an improper fraction.

6.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

7.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

8.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

9.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

10.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

11.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

12.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

13.Work out (−2)² − 3

14.Work out 3.7 × 24.

15.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.