EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Real-Life Graphs
Real-life graphs · Graphs · Lesson 4 of 8 · 11 marks · 20 minutes
Name Date
Answer all questions. Show your working. The calculator is allowed where the question says so.
Question 1 NON-CALCULATOR [3 marks]
50 miles is 80 km. (a) Convert 125 miles to kilometres. (b) Convert 360 km to miles.
Question 2 NON-CALCULATOR [3 marks]
A taxi charges a fixed amount plus a cost for each mile. The cost of a journey of m miles is C = 1.5m + 3 pounds. (a) Work out the cost of an 8-mile journey. (b) What does the 3 represent? (c) What does the 1.5 represent?
Question 3 CALCULATOR [3 marks]
Plan A costs £20 a month plus 5p per minute of calls. Plan B costs 15p per minute, with no monthly charge. Jo uses 300 minutes of calls a month. Which plan is cheaper for Jo? Show your working.
Question 4 NON-CALCULATOR [2 marks]
Water is poured at a constant rate into each of the containers A, B and C. The graphs P, Q and R show the depth of water against time. Match each container to its graph.
Answers
Check your answer only once you have written one.
Question 1 [3 marks]
(a) 125 = 2.5 × 50, so 2.5 × 80 = 200 km. (b) 1 km = 50/80 mile, so 360 × 50/80 = 225 miles.
▸ (a) 200 km B1
▸ (b) 360 × 50/80, or 360 ÷ 1.6 M1
▸ (b) 225 miles A1
Question 2 [3 marks]
(a) 1.5 × 8 + 3 = £15 (b) A fixed charge of £3 (c) The cost per mile, £1.50
▸ (a) £15 B1
▸ (b) Fixed charge, or the cost before any miles C1
▸ (c) Cost per mile C1
Question 3 [3 marks]
A: 20 + 0.05 × 300 = £35. B: 0.15 × 300 = £45. Plan A is cheaper.
▸ 20 + 0.05 × 300 M1
▸ 0.15 × 300 M1
▸ £35 and £45, and plan A A1
Question 4 [2 marks]
A (cylinder) - Q (straight line). B (wider at the top) - R (curve getting less steep). C (narrower at the top) - P (curve getting steeper).
▸ At least one correct match B1
▸ All three correct: A-Q, B-R, C-P B1