Sets and set operations — KCSE Mathematics

KCSE Mathematics · 100 practice questions · 4 syllabus objectives

34 easy34 medium32 hard

What You'll Learn

Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.

Sets and set operations

Define a set, state the types of sets (empty, finite, infinite, equal, equivalent) and represent sets using set-builder notation and Venn diagrams

Perform set operations (union, intersection, complement, difference) and verify results using Venn diagrams

Apply set theory to solve real-life problems involving survey data using the formula n(A∪B) = n(A) + n(B) – n(A∩B)

Try 3 questions free. Sign up to access all 100 questions with full marking schemes.

easySHORT ANSWER2 marks

If set A has 1 elements, how many subsets does A have?

View Marking Scheme

Part (a) — 2 marks

2^1 or 2^n (correct formula) (1 mk)

Correct numerical answer for 1 (1 mk)

easySHORT ANSWER2 marks

If set A has 4 elements, how many subsets does A have?

View Marking Scheme

Part (a) — 2 marks

2^4 or 2^n (correct formula) (1 mk)

Correct numerical answer for 4 (1 mk)

easySHORT ANSWER2 marks

If set A has 3 elements, how many subsets does A have?

View Marking Scheme

Part (a) — 2 marks

2^3 or 2^n (correct formula) (1 mk)

Correct numerical answer for 3 (1 mk)

If set A has 5 elements, how many subsets does A have?

Sign up free to access all 100 questions with marking schemes, track your progress, and get personalised recommendations.

Questions match the KCSE syllabus objectives and exam format exactly.

Every answer shows exactly what examiners award marks for.

See your score improve as you practise and identify remaining gaps.