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Inequalities: CAIE IGCSE Maths questions

Every CAIE IGCSE Maths exam question on 2.6 Inequalities, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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228 questions

  1. Q11

    June 2024 · Paper 2

    4 marks2.6 Inequalities
    The whole paper ↗
    June 2024 Paper 2, question 11: y 7 6 5 4 3 R 2 1 x – 1 0 1 2 3 4 5 6 7 – 1 Find the inequalities that define the unshaded region, R. [4]

  2. Q8

    June 2024 (0980) · Paper 4

    11 marks2.6 Inequalities
    The whole paper ↗
    June 2024 (0980) Paper 4, question 8: A baker decorates x small cakes and y large cakes. In one day, he decorates: • not more than 16 small cakes • less than 10 large cakes • more small cakes than l

  3. Q20

    Specimen · Paper 1

    3 marks2.6 Inequalities
    The whole paper ↗
    Specimen Paper 1, question 20: (a) Write down the smallest even integer that satisfies the inequality y > 2.5 . y = [1] (b) Write an inequality, in terms of x, to represent the interval shown

  4. Q1

    Specimen · Paper 4

    2 marks2.6 Inequalities
    The whole paper ↗
    Specimen Paper 4, question 1: Write down the integer values of x that satisfy the inequality –2 ⩽ x < 2. 1 [2]

  5. Q8

    Specimen · Paper 4

    4 marks2.6 Inequalities3.2 Drawing linear graphs
    The whole paper ↗
    Specimen Paper 4, question 8: y 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 x (a) On the grid, draw the lines y = x and x + y = 7 . [3] (b) Region R satisfies the three inequalities y ⩾ 0 , y ⩽ x and
All 5 questions on Inequalities, as a list
  1. June 2024, Paper 2, Q11 (4 marks): y 7 6 5 4 3 R 2 1 x – 1 0 1 2 3 4 5 6 7 – 1 Find the inequalities that define the unshaded region, R. [4]
  2. June 2024 (0980), Paper 4, Q8 (11 marks): A baker decorates x small cakes and y large cakes. In one day, he decorates: • not more than 16 small cakes • less than 10 large cakes • more small cakes than l
  3. Specimen, Paper 1, Q20 (3 marks): (a) Write down the smallest even integer that satisfies the inequality y > 2.5 . y = [1] (b) Write an inequality, in terms of x, to represent the interval shown
  4. Specimen, Paper 4, Q1 (2 marks): Write down the integer values of x that satisfy the inequality –2 ⩽ x < 2. 1 [2]
  5. Specimen, Paper 4, Q8 (4 marks): y 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 x (a) On the grid, draw the lines y = x and x + y = 7 . [3] (b) Region R satisfies the three inequalities y ⩾ 0 , y ⩽ x and

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