Free Grade 3 Area of Circles in Context Quizzes
Free Grade 3 quizzes for Area of 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
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify area of circles in context
Identify area of circles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain area of circles in context
Explain area of circles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate area of circles in context
Calculate area of circles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare area of circles in context
Compare area of 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 Area of 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 7 cm by 12 cm. Find its perimeter and area.[1]
- 2.A rectangle is 3 cm by 11 cm. Find its perimeter and area.[1]
- 3.A rectangle is 9 cm by 5 cm. Find its perimeter and area.[1]
- 4.A rectangle is 11 cm by 3 cm. Find its perimeter and area.[1]
- 5.A triangle has base 28 cm and height 8 cm. Find its area.[2]
- 6.A triangle has base 24 cm and height 15 cm. Find its area.[2]
- 7.A triangle has base 6 cm and height 15 cm. Find its area.[2]
- 8.A triangle has base 20 cm and height 2 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 5 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 6 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 4 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 7 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 38 cm, area 84 cm²
Perimeter = 7 + 12 + 7 + 12 = 38 cm. Area = 7 × 12 = 84 cm².
2. Perimeter 28 cm, area 33 cm²
Perimeter = 3 + 11 + 3 + 11 = 28 cm. Area = 3 × 11 = 33 cm².
3. Perimeter 28 cm, area 45 cm²
Perimeter = 9 + 5 + 9 + 5 = 28 cm. Area = 9 × 5 = 45 cm².
4. Perimeter 28 cm, area 33 cm²
Perimeter = 11 + 3 + 11 + 3 = 28 cm. Area = 11 × 3 = 33 cm².
5. 112 cm²
Area = ½ × base × height. ½ × 28 × 8 = 112 cm².
6. 180 cm²
Area = ½ × base × height. ½ × 24 × 15 = 180 cm².
7. 45 cm²
Area = ½ × base × height. ½ × 6 × 15 = 45 cm².
8. 20 cm²
Area = ½ × base × height. ½ × 20 × 2 = 20 cm².
9. Area 78.5 cm², circumference 31.4 cm
Area = πr² = π × 5² = 78.5 cm². Circumference = 2πr = 2 × π × 5 = 31.4 cm.
10. Area 113.1 cm², circumference 37.7 cm
Area = πr² = π × 6² = 113.1 cm². Circumference = 2πr = 2 × π × 6 = 37.7 cm.
11. Area 50.3 cm², circumference 25.1 cm
Area = πr² = π × 4² = 50.3 cm². Circumference = 2πr = 2 × π × 4 = 25.1 cm.
12. Area 153.9 cm², circumference 44 cm
Area = πr² = π × 7² = 153.9 cm². Circumference = 2πr = 2 × π × 7 = 44 cm.
Worked examples
A rectangle is 11 cm by 9 cm. Find its perimeter and area.
- Perimeter = 11 + 9 + 11 + 9 = 40 cm.
- Area = 11 × 9 = 99 cm².
- Answer: Perimeter 40 cm, area 99 cm²
A triangle has base 30 cm and height 10 cm. Find its area.
- Area = ½ × base × height.
- ½ × 30 × 10 = 150 cm².
- Answer: 150 cm²
Find the area and circumference of a circle with radius 12 cm (to 1 d.p.).
- Area = πr² = π × 12² = 452.4 cm².
- Circumference = 2πr = 2 × π × 12 = 75.4 cm.
- Answer: Area 452.4 cm², circumference 75.4 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
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Frequently asked
- Is this Grade 3 Area of Circles in Context quiz really free?
- Yes. Every quizzes 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 Area of Circles, Introducing Area of Circles, Area of Triangles. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Area of Circles in Context?
- Move on to Perimeter of Rectangles, Area of Rectangles, Area of Triangles, Compound Shapes, which build directly on this idea.
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