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Year 7 Measurement and geometry WA7MMGTW2 5 pages · 34 questions Core
Year 7 Area and Perimeter of Composite Shapes Worksheet
Free Year 7 composite shapes worksheet (WA7MMGTW2): area and perimeter of L, T and U shapes, missing lengths and real problems. With key.
What's covered
- Splitting composite shapes into rectangles
- Finding missing side lengths
- Calculating area by adding or subtracting, and perimeter of every edge
About this worksheet
This free Year 7 composite shapes worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA7MMGTW2. It targets one skill so students can practise until it sticks: by the end, students can say “I can find the area and perimeter of composite shapes made from rectangles by splitting, subtracting and finding missing lengths.”
What’s inside
- Key idea box – a short explanation with worked examples to read before starting.
- A · Fluency (16 questions) – quick practice to build accuracy.
- B · Core (10 questions) – worded problems set in everyday Australian contexts.
- C · Reasoning (4 questions) – explain, justify and spot the error.
- D · Challenge (4 questions) – harder multi-step and problem-solving questions for students ready to stretch.
- Separate marking key – every answer with working, plus mark allocations and marking criteria for reasoning questions.
Skills covered
- Splitting composite shapes into rectangles
- Finding missing side lengths
- Calculating area by adding or subtracting, and perimeter of every edge
How to use this worksheet
Start with the Key idea box, then complete Section A without a calculator. Most students should attempt Sections B and C; Section D suits students aiming for the top of the class or preparing for accelerated or extension maths. The worksheet is marked out of 59, and the score box on the last page helps students see which section needs more practice.
Common mistakes to watch for
- Counting an overlap twice
- Including split lines in the perimeter
- Missing an unlabelled side
- Assuming equal areas mean equal perimeters
Where this fits in the WA Year 7 sequence
Area and Perimeter of Composite Shapes sits in the Two-dimensional space and structures sub-strand of Measurement and geometry. It is one of a set of short, single-skill EduLift worksheets that split each Year 7 content description into sub-skills. Use the previous and next links to work through the sequence in order.
Common errors we see in tutoring
- Counting an overlap twice
- Including split lines in the perimeter
- Missing an unlabelled side
- Assuming equal areas mean equal perimeters
Answer key (with worked solutions)
The answer key is a separate PDF with every question worked, not just the final answers.
Download the answer key (PDF)Stuck on a section? That's what our Year 7 tutors are for.
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