Free Grade 3 Circles in Context Lessons
Free Grade 3 lessons for Circles in Context: 12 real questions with a full answer key and worked solutions. Perimeter is the distance around a shape; area is the space inside. Rectangle area = length × width; triangle = ½ × base × height; circle = πr².
Free
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify circles in context
Identify circles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain circles in context
Explain circles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate circles in context
Calculate circles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare circles in context
Compare circles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Circles in Context works
Perimeter is the distance around a shape; area is the space inside. Rectangle area = length × width; triangle = ½ × base × height; circle = πr².
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.A rectangle is 11 cm by 6 cm. Find its perimeter and area.[1]
- 2.A rectangle is 6 cm by 3 cm. Find its perimeter and area.[1]
- 3.A rectangle is 7 cm by 9 cm. Find its perimeter and area.[1]
- 4.A rectangle is 12 cm by 5 cm. Find its perimeter and area.[1]
- 5.A triangle has base 28 cm and height 4 cm. Find its area.[2]
- 6.A triangle has base 6 cm and height 8 cm. Find its area.[2]
- 7.A triangle has base 16 cm and height 3 cm. Find its area.[2]
- 8.A triangle has base 18 cm and height 10 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 6 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 7 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 2 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 8 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 34 cm, area 66 cm²
Perimeter = 11 + 6 + 11 + 6 = 34 cm. Area = 11 × 6 = 66 cm².
2. Perimeter 18 cm, area 18 cm²
Perimeter = 6 + 3 + 6 + 3 = 18 cm. Area = 6 × 3 = 18 cm².
3. Perimeter 32 cm, area 63 cm²
Perimeter = 7 + 9 + 7 + 9 = 32 cm. Area = 7 × 9 = 63 cm².
4. Perimeter 34 cm, area 60 cm²
Perimeter = 12 + 5 + 12 + 5 = 34 cm. Area = 12 × 5 = 60 cm².
5. 56 cm²
Area = ½ × base × height. ½ × 28 × 4 = 56 cm².
6. 24 cm²
Area = ½ × base × height. ½ × 6 × 8 = 24 cm².
7. 24 cm²
Area = ½ × base × height. ½ × 16 × 3 = 24 cm².
8. 90 cm²
Area = ½ × base × height. ½ × 18 × 10 = 90 cm².
9. Area 113.1 cm², circumference 37.7 cm
Area = πr² = π × 6² = 113.1 cm². Circumference = 2πr = 2 × π × 6 = 37.7 cm.
10. Area 153.9 cm², circumference 44 cm
Area = πr² = π × 7² = 153.9 cm². Circumference = 2πr = 2 × π × 7 = 44 cm.
11. Area 12.6 cm², circumference 12.6 cm
Area = πr² = π × 2² = 12.6 cm². Circumference = 2πr = 2 × π × 2 = 12.6 cm.
12. Area 201.1 cm², circumference 50.3 cm
Area = πr² = π × 8² = 201.1 cm². Circumference = 2πr = 2 × π × 8 = 50.3 cm.
Worked examples
A rectangle is 11 cm by 15 cm. Find its perimeter and area.
- Perimeter = 11 + 15 + 11 + 15 = 52 cm.
- Area = 11 × 15 = 165 cm².
- Answer: Perimeter 52 cm, area 165 cm²
A triangle has base 28 cm and height 9 cm. Find its area.
- Area = ½ × base × height.
- ½ × 28 × 9 = 126 cm².
- Answer: 126 cm²
Find the area and circumference of a circle with radius 4 cm (to 1 d.p.).
- Area = πr² = π × 4² = 50.3 cm².
- Circumference = 2πr = 2 × π × 4 = 25.1 cm.
- Answer: Area 50.3 cm², circumference 25.1 cm
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Mixes up area and perimeter.
Correction: Perimeter is a fence (around), area is grass (inside).
Uses the slanted side as the height of a triangle.
Correction: Height must be at right angles to the base.
Teacher tips
- · Draw shapes on squared paper and count squares first.
Parent tips
- · Measure a room and work out how much carpet you'd need.
Real-life applications
- · Carpeting a room, fencing a garden.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Circles in Context
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Circles in Context lesson really free?
- Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Working with Circles, Introducing Circles, Quadrilaterals. Each one has its own free lesson, worksheet and quiz.
- How is the lesson sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Circles in Context?
- Move on to Triangles, Quadrilaterals, Polygons, Symmetry, which build directly on this idea.
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