Year 7 - Area and perimeter - Free practice

Year 7 Area & Perimeter Worksheets

Rectangles, triangles, parallelograms - formulas and word problems.

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Six questions across Foundation, Standard and Extension, with full worked solutions, calibrated to the Victorian Curriculum.

Textbook questions won't lift a test mark.

They come sorted by topic, so your child knows the method before they read the question.

That's where Tuterly comes in and closes the gap: unlimited questions, mixed up, under test conditions, including worded problems.

  • Unlimited questions on entire topics, mixed difficulty, VCAA aligned
  • Printable test, plus a separate answer key for marking
  • Any topic, any time, designed to mimic actual test questions

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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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From our families

Parents on the practice questions.

Tuterly has been exactly what we needed since Tom started secondary school. Once the topic tests began, he was struggling to keep up. Now he has unlimited practice, all matched to what his class is actually covering, and his Maths results have improved noticeably.

Rebecca M.

Year 8 · Maths

My daughter used to leave revision until the night before. Having a platform she can dip into for fifteen minutes after dinner has completely changed that. She's calmer going into assessments, and honestly, so am I.

Priya S.

Year 9 · Maths

I like that I can just keep doing questions until it clicks. If I get something wrong, it shows me why, and then gives me another one like it.

Ella, student

Year 10 · Maths

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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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