Vectors, Matrices & Sets

AdvancedMaths revision

Set Notation

Use set notation, Venn relationships and counting principles precisely.

Open calculator

Focus points

✓Use union, intersection and complements.

✓Apply inclusion-exclusion.

✓Translate verbal conditions into set notation.

orin

Orin

The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions

Question 1FluencyCore

Original practice · Free Online Revision

Skill · set operations

Let A={1,2,3,4} and B={3,4,5}. Find A∩B and A∪B.

Question 2FluencyCore

Original practice · Free Online Revision

Skill · complement

If U={1,2,3,4,5,6} and A={2,4,6}, find Aᶜ.

Question 3FluencyCore

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Skill · inclusion-exclusion

If n(A)=23,n(B)=19,n(A∩B)=8, find n(A∪B).

Question 4ApplicationCore

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Skill · Venn counting

In a group of 50, 28 study French, 24 study Spanish, 10 study both. How many study neither?

Question 5FluencyCore

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Skill · set-builder notation

Write “x is a real number with −2 < x ≤ 5” in set-builder notation.

Question 6ReasoningCore

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Skill · subset reasoning

If A⊆B, what is A∩B?

Question 7ReasoningCore

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Skill · inclusion-exclusion reasoning

For finite sets, prove n(A∪B)=n(A)+n(B)−n(A∩B) informally.

Question 8ChallengeStretch

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Skill · three-set counting

Three sets have sizes 20,18,15; pairwise intersections 7,6,5; triple intersection 3. Find union size.