Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 8
106 practice questions
Topics covered
Practice questions
11–20 of 106
Question 11
4 marks · Normal
Answer and see the solution →A rectangle measures 1.5 metres by 80 centimetres.
(a)[1 mark]Convert 1.5 metres to centimetres.
(b)[2 marks]Find the area of the rectangle in cm².
(c)[1 mark]Write your answer to part (b) in m².
Question 12
4 marks · Normal
Answer and see the solution →The table shows data for three substances.
Substance Mass (g) Volume (cm³) Density (g/cm³) A 54 60 B 40 4.2 C 72 1.8 Complete the missing values for density, mass, or volume for each substance.
Question 13
2 marks · Normal
Answer and see the solution →A swimming pool holds 250 000 litres of water. Write this volume in cubic metres (m³).
Question 14
3 marks · Normal
Answer and see the solution →Convert 0.16 square metres (m²) to square centimetres (cm²).
Question 15
3 marks · Normal
Answer and see the solution →Explain why a bicycle tyre in contact with the ground at a smaller area produces a greater pressure, even if the weight of the bicycle and rider remains the same. Use the pressure formula in your explanation.
Question 16
2 marks · Hard
Answer and see the solution →A piece of string is 1.85 metres long. Write this length in millimetres, giving your answer in standard form.
Question 17
4 marks · Hard
Answer and see the solution →A block of plastic has a mass of 2.4 kg and occupies a volume of 1500 cm³.
(a)[1 mark]Convert the mass to grams (g).
(b)[2 marks]Work out the density of the plastic in g/cm³.
(c)[1 mark]Express your answer to part (b) in kg/m³.
Question 18
4 marks · Hard
Answer and see the solution →A swimming pool is 25 m long, 8 m wide, and has an average depth of 2 m. The pool is filled with water at a rate of 40 litres per minute.
(a)[1 mark]Calculate the total volume of the pool in cubic metres (m³).
(b)[1 mark]Work out how many litres of water are needed to fill the pool. (1 m³ = 1000 litres)
(c)[2 marks]Estimate how many hours it will take to fill the pool at the given rate. Show your reasoning.
Question 19
1 mark · Easy
Answer and see the solution →What is a function in mathematics?
Question 20
2 marks · Easy
Answer and see the solution →Let the function f be defined by with domain . Find the range of f.