Number worksheet — GCSE Higher

1.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.

2.A car travels 100 km, correct to the nearest km, in a time of 2 hours, correct to the nearest 0.1 hour. Work out the average speed, in km/h, to the greatest degree of accuracy the bounds can guarantee.

3.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

4.Write down the exact decimal value of the fraction 1/6.

5.Work out 10% of 30% of £200.

6.Given that 2⁵ = 32, work out 2⁶.

7.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

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

9.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

10.Which statement about the number 91 is correct?

11.Work out ∛64.

12.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

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 metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

15.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?