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GCSE Maths – Using Set Notation (∪, ∩, ∈, ∉) (Differentiated Worksheets with Modelled Answers)

Help your students build confidence using formal set notation. This resource develops fluency with the key symbols ∪ (union), ∩ (intersection), ∈ (belongs to), and ∉ (does not belong to) — all aligned with GCSE Foundation Tier exam specifications.

Includes differentiated worksheets and step-by-step modelled answer sheets for complete support in class or during revision.

Key Learning Outcomes:
  • Identify and correctly use union, intersection, and membership symbols
  • Understand the meaning of notation in the context of numerical sets
  • Solve problems using compound expressions involving sets
Differentiation and Structure:
  • Red Level: Scaffolded introduction to symbols and their meanings
  • Amber Level: Set notation applied in structured questions
  • Green Level: Logic-based tasks and symbolic reasoning

Answer sheets provide a walkthrough of working steps for each task.

Suggested Strategies for Use:
  • Teach notation with Red before layering on logic in Amber and Green
  • Use for class activities, workbook supplements, or homework
  • Encourage students to verbalise their understanding using the symbols
  • Ideal for assessment practice, visual aids, and peer marking
Suitable for:
  • KS4 / GCSE Maths Foundation Tier
  • Exam boards: Edexcel, AQA, OCR
  • Targeted at 14–16-year-olds and Foundation Tier learners

An essential worksheet set for mastering one of the most frequently tested symbolic skills in GCSE maths.

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