EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: More Compound Measures
More compound measures · Multiplicative reasoning · Lesson 3 of 4 · 18 marks · 30 minutes
|
Name |
|
Date |
|
Instructions
• Answer all the questions.
• Write your answers in the spaces provided.
• The marks for each question are shown in brackets - use this as a guide to how much to write.
• The answers are on separate pages at the back. Attempt every question before you look at them.
• Answer all questions. Show your working.
Question 1 CALCULATOR (3 marks)
A town has a population of 60 000 and an area of 25 km². Work out the population density of the town in people per km².
|
|
|
|
|
|
|
|
(Total for Question 1 = 3 marks)
Question 2 NON-CALCULATOR (2 marks)
A cyclist travels at 15 metres per second. Work out her speed in kilometres per hour.
|
|
|
|
|
|
(Total for Question 2 = 2 marks)
Question 3 CALCULATOR (3 marks)
A tank holds 1200 litres of water. Water runs into the tank at 15 litres per minute. Work out how long the tank takes to fill. Give your answer in hours and minutes.
|
|
|
|
|
|
|
|
(Total for Question 3 = 3 marks)
Question 4 CALCULATOR (4 marks)
A car travels 60 km at 40 km/h and then 60 km at 60 km/h. Work out the average speed of the car for the whole journey.
|
|
|
|
|
|
|
|
|
|
|
|
(Total for Question 4 = 4 marks)
Question 5 CALCULATOR (4 marks)
The distance-time graph shows a car journey. (a) Work out the speed of the car during the last part of the journey. (b) Work out the average speed for the whole journey.
|
|
|
|
|
|
|
|
|
|
|
|
(Total for Question 5 = 4 marks)
Question 6 NON-CALCULATOR (2 marks)
Steel has a density of 7.8 g/cm³. Write this density in kg/m³.
|
|
|
|
|
|
(Total for Question 6 = 2 marks)
TOTAL FOR PAPER = 18 MARKS
|
|
Answers and mark scheme
Check your answer only once you have written one.
Question 1 (3 marks)
60 000 ÷ 25 = 2400 people per km².
• 60 000 ÷ 25 M1
• 2400 A1
• Units B1
Question 2 (2 marks)
15 × 3600 ÷ 1000 = 54 km/h.
• 15 × 3600 or 15 × 3.6 M1
• 54 A1
Question 3 (3 marks)
1200 ÷ 15 = 80 minutes, which is 1 hour 20 minutes.
• 1200 ÷ 15 M1
• 80 minutes A1
• 1 hour 20 minutes A1
Question 4 (4 marks)
The times are 60 ÷ 40 = 1.5 hours and 60 ÷ 60 = 1 hour. The total is 120 km in 2.5 hours, so the average speed is 120 ÷ 2.5 = 48 km/h.
• 60 ÷ 40 M1
• Total time 2.5 hours M1
• 120 ÷ 2.5 M1
• 48 A1
Question 5 (4 marks)
(a) 60 ÷ 1.5 = 40 km/h. (b) The total is 120 km in 3.5 hours, so 120 ÷ 3.5 = 34.3 km/h.
• (a) 60 ÷ 1.5 M1
• (a) 40 A1
• (b) 120 ÷ 3.5 M1
• (b) 34.3 A1
Question 6 (2 marks)
7.8 × 1000 = 7800 kg/m³.
• 7.8 × 1000 M1
• 7800 A1