EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Ratio and Proportion
Ratio and proportion · Multiplicative reasoning · Lesson 4 of 4 · 18 marks · 30 minutes
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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 NON-CALCULATOR (3 marks)
5 workers can build a wall in 12 days. All the workers work at the same rate. Work out how many days it would take 8 workers to build the wall.
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(Total for Question 1 = 3 marks)
Question 2 NON-CALCULATOR (3 marks)
y is directly proportional to x. When x = 7, y = 21. Find the value of y when x = 10.
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(Total for Question 2 = 3 marks)
Question 3 NON-CALCULATOR (3 marks)
y is inversely proportional to x. When x = 4, y = 12. Find the value of y when x = 6.
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(Total for Question 3 = 3 marks)
Question 4 NON-CALCULATOR (3 marks)
The graph shows the relationship between x and y. Write down an equation connecting x and y.
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(Total for Question 4 = 3 marks)
Question 5 NON-CALCULATOR (3 marks)
y is directly proportional to x². When x = 2, y = 20. Find the value of y when x = 3.
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(Total for Question 5 = 3 marks)
Question 6 NON-CALCULATOR (3 marks)
y is directly proportional to √x. When x = 4, y = 6. Find the value of y when x = 25.
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(Total for Question 6 = 3 marks)
TOTAL FOR PAPER = 18 MARKS
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Answers and mark scheme
Check your answer only once you have written one.
Question 1 (3 marks)
5 × 12 = 60 worker-days. 60 ÷ 8 = 7.5 days.
• 60 worker-days M1
• 60 ÷ 8 M1
• 7.5 A1
Question 2 (3 marks)
y = kx, so 21 = 7k and k = 3. When x = 10, y = 30.
• y = kx M1
• k = 3 A1
• 30 A1
Question 3 (3 marks)
y = k/x, so 12 = k/4 and k = 48. When x = 6, y = 8.
• y = k/x M1
• k = 48 A1
• 8 A1
Question 4 (3 marks)
The points show that xy = 12 each time, so y = 12/x (inverse proportion).
• Recognising inverse proportion M1
• k = 12 M1
• y = 12/x A1
Question 5 (3 marks)
y = kx², so 20 = 4k and k = 5. When x = 3, y = 5 × 9 = 45.
• y = kx² M1
• k = 5 A1
• 45 A1
Question 6 (3 marks)
y = k√x, so 6 = 2k and k = 3. When x = 25, y = 3 × 5 = 15.
• y = k√x M1
• k = 3 A1
• 15 A1