Free Grade 3 Introducing Circles Flashcards
Free Grade 3 flashcards for Introducing Circles: 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing circles
Explain introducing circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing circles
Calculate introducing circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing circles
Compare introducing circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing circles
Justify introducing circles 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 Introducing Circles 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 5 cm. Find its perimeter and area.[1]
- 2.A rectangle is 9 cm by 15 cm. Find its perimeter and area.[1]
- 3.A rectangle is 2 cm by 8 cm. Find its perimeter and area.[1]
- 4.A rectangle is 12 cm by 12 cm. Find its perimeter and area.[1]
- 5.A triangle has base 22 cm and height 11 cm. Find its area.[2]
- 6.A triangle has base 10 cm and height 5 cm. Find its area.[2]
- 7.A triangle has base 18 cm and height 10 cm. Find its area.[2]
- 8.A triangle has base 12 cm and height 3 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 2 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 10 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 11 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 24 cm, area 35 cm²
Perimeter = 7 + 5 + 7 + 5 = 24 cm. Area = 7 × 5 = 35 cm².
2. Perimeter 48 cm, area 135 cm²
Perimeter = 9 + 15 + 9 + 15 = 48 cm. Area = 9 × 15 = 135 cm².
3. Perimeter 20 cm, area 16 cm²
Perimeter = 2 + 8 + 2 + 8 = 20 cm. Area = 2 × 8 = 16 cm².
4. Perimeter 48 cm, area 144 cm²
Perimeter = 12 + 12 + 12 + 12 = 48 cm. Area = 12 × 12 = 144 cm².
5. 121 cm²
Area = ½ × base × height. ½ × 22 × 11 = 121 cm².
6. 25 cm²
Area = ½ × base × height. ½ × 10 × 5 = 25 cm².
7. 90 cm²
Area = ½ × base × height. ½ × 18 × 10 = 90 cm².
8. 18 cm²
Area = ½ × base × height. ½ × 12 × 3 = 18 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 12.6 cm², circumference 12.6 cm
Area = πr² = π × 2² = 12.6 cm². Circumference = 2πr = 2 × π × 2 = 12.6 cm.
11. Area 314.2 cm², circumference 62.8 cm
Area = πr² = π × 10² = 314.2 cm². Circumference = 2πr = 2 × π × 10 = 62.8 cm.
12. Area 380.1 cm², circumference 69.1 cm
Area = πr² = π × 11² = 380.1 cm². Circumference = 2πr = 2 × π × 11 = 69.1 cm.
Worked examples
A rectangle is 5 cm by 8 cm. Find its perimeter and area.
- Perimeter = 5 + 8 + 5 + 8 = 26 cm.
- Area = 5 × 8 = 40 cm².
- Answer: Perimeter 26 cm, area 40 cm²
A triangle has base 14 cm and height 15 cm. Find its area.
- Area = ½ × base × height.
- ½ × 14 × 15 = 105 cm².
- Answer: 105 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
How mastery is evidenced, and which standards it maps to.
Every free resource for Introducing Circles
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Learn — Meet the idea.
Practice — Build fluency.
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Frequently asked
- Is this Grade 3 Introducing Circles flashcards really free?
- Yes. Every flashcards 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 Quadrilaterals. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Introducing Circles?
- Move on to Working with Circles, Circles in Context, Triangles, Quadrilaterals, which build directly on this idea.
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