CAIE IGCSE Mathematics Extended Sets and Venn Diagrams

Practise completing and shading Venn diagrams and interpreting unions, intersections, complements and set cardinality in notation.

Syllabus
2028–2030
Topic
E1.2
Level
Extended

Exam points

  • translate unions, intersections and complements into the correct region of a Venn diagram
  • complete missing Venn-region counts using the set total and all overlapping regions
  • evaluate n(A), n(A ∩ B) or a complemented set by summing only the required regions

Covered syllabus points

E1.2.1 Understand and use set language, notation and Venn diagrams to describe

E1.2 Sets question 1

[Maximum number: 5]

Question (a)

(a)
Figure for Question (a) — CAIE IGCSE Mathematics Extended

Use set notation to describe the shaded region in the Venn diagram.

[ 1 ]

Question (b)

(b)

Shade the correct region in each Venn diagram.

Figure for Question (b) — CAIE IGCSE Mathematics Extended
[ 2 ]

Question (c)

(c)
Figure for Question (c) — CAIE IGCSE Mathematics Extended

50 students are asked if they like English ( E ) and if they like mathematics ( M ). 3 say they do not like English and do not like mathematics.
33 say they like English.
42 say they like mathematics.

[ 2 ]

Question (i)

(i)

Complete the Venn diagram.

[ 2 ]
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