Year 7 - Area and perimeter - Free practice
Year 7 Area & Perimeter Worksheets
Rectangles, triangles, parallelograms - formulas and word problems.
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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
About this worksheet
Why we built it
Year 7 students are expected to fluently calculate area and perimeter of rectangles, triangles and parallelograms, and apply those formulas to real-world problems. These worksheets give them mixed-shape practice every click so they can't just memorise one type.
What's covered
Sub-skills your student will practise
- ✓Perimeter of rectangles, squares and compound shapes
- ✓Area of a rectangle and square
- ✓Area of a triangle using base x height x 1/2
- ✓Area of parallelograms
- ✓Word problems involving floor area, paint, fencing
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Frequently asked
Questions parents ask about area and perimeter
What area and perimeter formulas does Year 7 require?
Rectangles (length x width), squares (side squared), triangles (half x base x height), and parallelograms (base x height). Year 8 builds on this with composite shapes and circles.
Why is the triangle area formula a half?
Because a triangle is exactly half a parallelogram with the same base and height - you can prove this by cutting a parallelogram diagonally. Most Year 7 students remember the formula but not why; the worksheets occasionally test the reasoning.
How do students handle parallelograms when the height isn't given?
The height must be perpendicular to the base, not the slanted side. This catches a lot of students who multiply the two visible side lengths instead of base x perpendicular height.
What units do answers need to be in?
Always include units. Area answers use squared units (cm^2, m^2). Perimeter uses linear units (cm, m). Marks are routinely deducted for missing or wrong units even when the number is correct.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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Talk to us about Year 7 area and perimeter.
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