Year 8 - Circles - Free practice

Year 8 Circles Worksheets & Practice Tests

Area and circumference - the full Year 8 circle skill set.

Generate a free maths worksheet

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 8 is where students apply pi to both circumference and area of circles, and start handling composite shapes (semicircles, quadrants, annulus). These worksheets give your student practice on each variation - exact, decimal and word-problem answers - so the formulas stay in long-term memory.

What's covered

Sub-skills your student will practise

  • Circumference using diameter or radius
  • Area of a circle from radius or diameter
  • Working back from an area or circumference to find the radius
  • Composite shapes (semicircles, quadrants, annulus)
  • Real-world circle problems (running tracks, gardens, pizzas)

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Time and time zones

Or generate any topic from the full worksheet builder.

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

Verified parent

Frequently asked

Questions parents ask about circles

What's the difference between circumference and area of a circle?

Circumference is the distance around the circle (the perimeter). Area is the space inside. Different formulas: C = pi x d for circumference, A = pi x r^2 for area.

Why is the area formula pi r squared?

If you imagine slicing a circle into thin wedges and rearranging them, they approximate a rectangle with height equal to the radius and width equal to half the circumference. So area = r x (1/2 x 2 x pi x r) = pi x r^2.

What does Year 8 do with composite shapes?

Year 8 introduces composite shapes like semicircles, quadrants, and annulus (a ring shape). Students learn to add and subtract circle parts from rectangles or each other - a key skill for SAC questions.

Are exact (in terms of pi) answers acceptable?

Yes - many Year 8 questions specifically ask for an exact answer in terms of pi (e.g., 16 pi cm^2). Decimal answers are also accepted, usually to 1 or 2 decimal places.

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 8 circles.

Call or message us with your student's year level and what's tripping them up - we'll point you to the right tutor.

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