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0580/32 Oct/Nov 2025, Question 27: Reciprocal Functions

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 7 marks

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The question, in short

Complete a table for y = 12/x, plot the curve on a grid for −4 ≤ x ≤ −1 and 1 ≤ x ≤ 4, then use the graph to solve 12/x = 10.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Fill in the missing y-values in the table for y = 12/x at the given x-values.

  1. 1x = −4: y = 12 ÷ (−4) = −3
  2. 2x = −1: y = −12; x = 1: y = 12
  3. 3x = 4: y = 12 ÷ 4 = 3

Answer−3 −12 12 3

Part (b) · 4 marks

Draw the graph of y = 12/x on the grid for −4 ≤ x ≤ −1 and 1 ≤ x ≤ 4.

  1. 1Plot (−4, −3), (−3, −4), (−2, −6), (−1, −12) and (1, 12), (2, 6), (3, 4), (4, 3)
  2. 2Join each set with a smooth curve (two separate branches, not joined across x = 0)

AnswerCorrect curve

Part (c) · 1 mark

Using your graph, write down the x-value solving 12/x = 10.

  1. 1Draw y = 10 and read x where it meets the curve
  2. 2x = 12 ÷ 10 = 1.2

Answer1.1 to 1.3

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Also searched as: 0580/32/O/N/25 · 0580_w25_qp_32 · 0580 w25 32 · question 27.
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