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Learning pack · IGCSE handout

Sets

What's in this pack: printable worksheet PDF, matching answers PDF (IGCSE / Secure–Stretch practice). Set notation — ∈\in, ∪\cup, ∩\cap, ′', ξ\xi — describes collections of objects. Venn diagrams make intersections visible.

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

Jump straight to the printable files, or scroll to the summary and videos.

Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

Files: 37_sets_handout.pdf · 37_sets_handout_answers.pdf

Full topic summary

Set notation — ∈\in, ∪\cup, ∩\cap, ′', ξ\xi — describes collections of objects. Venn diagrams make intersections visible.

Key learning points

  • Union ∪\cup = either set; intersection ∩\cap = both.
  • Complement A′A' = not in A (within the universal set).
  • Shading and two-way counting problems are common exam tasks.

Worked example 1 — Intersection

A={1,2,3}A=\{1,2,3\}, B={2,3,4}B=\{2,3,4\}. A∩BA\cap B?

Working

{2,3}\{2,3\}

In both sets.

Worked example 2 — Union

A∪BA\cup B?

Working

{1,2,3,4}\{1,2,3,4\}

In either set.

Worked example 3 — Complement

E={1..5}\mathcal{E}=\{1..5\}, A={1,2}A=\{1,2\}. A′A'?

Working

{3,4,5}\{3,4,5\}

Not in AA.

🎬 Topic videos

  • Sets and Venn Diagrams (AQA) - GCSE Maths

    1st Class Maths · 23 min

    Classroom-ready explain of probability. Use when teaching this topic in Lower Secondary / IGCSE.

  • Sets and Venn Diagrams (Edexcel) - GCSE Maths

    1st Class Maths · 20 min

    Classroom-ready explain of probability. Use when teaching this topic in Lower Secondary / IGCSE.

More Lower Secondary packs

Browse the hub Learning Packs & Summary, or open the compact Sets summary.