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Circles Worksheet – Functional Skills Maths Level 2

Circle questions at Level 2 come with a real object attached – a bike wheel, a circular pond to fence, a round table to varnish – and they test whether you know the difference between circumference and area, and between radius and diameter. This free worksheet covers both formulas, part-circles and the contexts the exam uses.

Circles Worksheet – Functional Skills Maths Level 2 – free PDF worksheet preview
Page 1 of the worksheet – the full PDF has the answers.

Free to download, print and share for personal or classroom use. Answers included.

What’s in this worksheet

  • Section A – The formulas (12 marks)
  • Section B – In context (18 marks)
  • Revise box with the rules and methods for the topic
  • Worked answers for every question

Common mistakes on this topic

From our tutors’ marking and the most recent examiner reports – check your work against these:

  • Using the diameter in the area formula. Area needs the radius, squared.
  • Finding the area when the question is about fencing, edging or distance – those are circumference.
  • Forgetting the straight edge when asked for the perimeter of a semicircle.

How to use it

  1. Print the worksheet (or work on screen) and attempt every question without looking at the answers. Give yourself a rough time limit – Level 2 exams are tight.
  2. Mark your work against the answer page. For maths, check the method as well as the final number; method marks are where most of the marks are.
  3. Read the ‘common mistakes’ notes below and check whether any of them happened to you. Then redo the questions you got wrong a day later.

Related free resources

Frequently asked questions

What is the difference between circumference and area of a circle?

Circumference is the distance around the edge, a length: π × diameter. Area is the space inside, in square units: π × radius². Fencing, edging and wheel-turn questions use circumference; paint, turf and pizza questions use area.

Do I use 3.14 or the π button?

Use the π button on your calculator unless the question says to use 3.14 or 3.142. Round only your final answer, to the accuracy the question asks for.

How do you work out the perimeter of a semicircle?

Half the circumference (½ × π × diameter) plus the diameter itself for the straight edge. For a 120 cm diameter: 188.5 + 120 = 308.5 cm.

Want a tutor to mark your work? Not sure where you stand? Take the free 15-minute mini mock test. Ready to get qualified? Our live 10-week Functional Skills Level 2 Maths course runs in small groups with a mock exam included, and the 5-day revision course is there if your exam is close.