Number worksheet — GCSE Higher

1.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

2.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

4.Write 0.325 as a fraction in its simplest form.

5.Rationalise the denominator of 6/√3, giving your answer in its simplest form.

6.Work out (−2)³ + (−3)² − (−4)

7.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.

8.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

9.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

10.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

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

12.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

13.Work out 3.7 × 24.

14.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.

15.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.