Number worksheet — GCSE Higher

1.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

2.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

3.Work out 3.7 × 24.

4.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.

5.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.

6.Write 0.005 in standard form.

7.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.

8.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

9.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

10.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.

11.Work out (5 + 2) × 3²

12.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

13.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

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

15.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.