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Learning pack · IGCSE handout

Area

What's in this pack: printable worksheet PDF, matching answers PDF (IGCSE / Secure–Stretch practice). Area questions mix rectangles, triangles, parallelograms, trapeziums and compound shapes. Keep units consistent and show how you split a compound region.

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: 3_area_handout.pdf · 3_area_handout_answers.pdf

Full topic summary

Area questions mix rectangles, triangles, parallelograms, trapeziums and compound shapes. Keep units consistent and show how you split a compound region.

Key learning points

  • Rectangle lwlw; triangle 12bh\tfrac12 bh; parallelogram bhbh; trapezium 12(a+b)h\tfrac12(a+b)h.
  • Compound shapes: split into known pieces or subtract a cut-out.
  • Convert mixed units before multiplying (cm vs m).

Worked example 1 — Triangle

Base 1010, height 66. Area?

Working

A=12×10×6=30A=\tfrac{1}{2}\times10\times6=30

Half base times height.

Worked example 2 — Trapezium

Parallel sides 55 and 99, height 44. Area?

Working

A=12(5+9)×4=28A=\tfrac{1}{2}(5+9)\times4=28

Average of parallels × height.

Worked example 3 — Compound shape

Rectangle 8×58\times5 remove 3×23\times2. Area?

Working

40−6=3440-6=34

Add or subtract known areas.

Worked example 4 — Parallelogram

Base 1212, height 55. Area?

Working

A=60A=60

Use the perpendicular height.

🎬 Topic videos

  • Area of a Triangle: ½absinC

    Eddie Woo · 11 min

    Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

  • Surface Area of Spheres (1 of 2: Finding the Surface area of spheres and hemispheres)

    Eddie Woo · 7 min

    Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

  • Areas of Composite Figures

    Eddie Woo · 13 min

    Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

  • Surface Area of a Cone (1 of 2: Understanding the net)

    Eddie Woo · 7 min

    Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

  • Surface Area of a Cone (2 of 2: Deriving the formula)

    Eddie Woo · 9 min

    Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

  • Area of a Trapezium - Corbettmaths

    Corbettmaths · 4 min

    Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

More Lower Secondary packs

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