Year 7 - Circles - Free practice
Year 7 Circles Worksheets & Practice Tests
Pi, circumference, radius and diameter - all the early-circle work.
Generate a free maths worksheet
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 is where students meet pi formally for the first time. These worksheets keep things at the right level: relating radius, diameter and circumference, with a few applied problems thrown in. (Area of a circle is mostly Year 8 - check the Year 8 worksheets when you get there.)
What's covered
Sub-skills your student will practise
- ✓Relationship between diameter and radius
- ✓Pi as the ratio of circumference to diameter
- ✓Calculating circumference given the radius or diameter
- ✓Working back from circumference to find the radius
- ✓Mixed circle word problems (wheels, tracks, gardens)
More Year 7 topics
Other free Year 7 worksheet generators
Year 7
Algebra
Year 7
Linear equations
Year 7
Fractions and decimals
Year 7
Percentages
Year 7
Integers
Year 7
Ratios
Year 7
Geometry
Year 7
Angles
Year 7
Area and perimeter
Year 7
Volume
Year 7
Statistics
Year 7
Probability
Or generate any topic from the full worksheet builder.
Frequently asked
Questions parents ask about circles
Why is pi about 3.14?
Pi is the ratio of any circle's circumference to its diameter - it's the same number no matter how big or small the circle is. The actual value never terminates or repeats, so 3.14 (or 22/7) is a working approximation.
What circle formulas does Year 7 use?
Year 7 covers the circumference (C = pi x diameter or 2 x pi x radius). Area of a circle is mostly a Year 8 topic and isn't required at Year 7 level.
How do students decide whether to use diameter or radius?
Whichever the question gives. If only the radius is given, double it for the diameter. C = pi x d and C = 2 x pi x r are the same formula written two ways.
Why might my child's answer not match the textbook exactly?
Because of how pi is rounded. If the textbook uses pi = 3.14 and your child used 3.14159, answers will differ slightly. Most VCAA assessments accept either as long as the working is shown.
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.
Talk to a human
Talk to us about Year 7 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.