Free Grade 3 Working with Symmetry Quizzes
Free Grade 3 quizzes for Working with Symmetry: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with symmetry
Explain working with symmetry accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with symmetry
Calculate working with symmetry accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with symmetry
Compare working with symmetry accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with symmetry
Justify working with symmetry 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 Working with Symmetry 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 6 cm by 13 cm. Find its perimeter and area.[1]
- 2.A rectangle is 6 cm by 9 cm. Find its perimeter and area.[1]
- 3.A rectangle is 9 cm by 12 cm. Find its perimeter and area.[1]
- 4.A rectangle is 3 cm by 13 cm. Find its perimeter and area.[1]
- 5.A triangle has base 4 cm and height 12 cm. Find its area.[2]
- 6.A triangle has base 14 cm and height 10 cm. Find its area.[2]
- 7.A triangle has base 28 cm and height 4 cm. Find its area.[2]
- 8.A triangle has base 24 cm and height 8 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 11 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 8 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 9 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 38 cm, area 78 cm²
Perimeter = 6 + 13 + 6 + 13 = 38 cm. Area = 6 × 13 = 78 cm².
2. Perimeter 30 cm, area 54 cm²
Perimeter = 6 + 9 + 6 + 9 = 30 cm. Area = 6 × 9 = 54 cm².
3. Perimeter 42 cm, area 108 cm²
Perimeter = 9 + 12 + 9 + 12 = 42 cm. Area = 9 × 12 = 108 cm².
4. Perimeter 32 cm, area 39 cm²
Perimeter = 3 + 13 + 3 + 13 = 32 cm. Area = 3 × 13 = 39 cm².
5. 24 cm²
Area = ½ × base × height. ½ × 4 × 12 = 24 cm².
6. 70 cm²
Area = ½ × base × height. ½ × 14 × 10 = 70 cm².
7. 56 cm²
Area = ½ × base × height. ½ × 28 × 4 = 56 cm².
8. 96 cm²
Area = ½ × base × height. ½ × 24 × 8 = 96 cm².
9. Area 380.1 cm², circumference 69.1 cm
Area = πr² = π × 11² = 380.1 cm². Circumference = 2πr = 2 × π × 11 = 69.1 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 201.1 cm², circumference 50.3 cm
Area = πr² = π × 8² = 201.1 cm². Circumference = 2πr = 2 × π × 8 = 50.3 cm.
12. Area 254.5 cm², circumference 56.5 cm
Area = πr² = π × 9² = 254.5 cm². Circumference = 2πr = 2 × π × 9 = 56.5 cm.
Worked examples
A rectangle is 4 cm by 14 cm. Find its perimeter and area.
- Perimeter = 4 + 14 + 4 + 14 = 36 cm.
- Area = 4 × 14 = 56 cm².
- Answer: Perimeter 36 cm, area 56 cm²
A triangle has base 18 cm and height 10 cm. Find its area.
- Area = ½ × base × height.
- ½ × 18 × 10 = 90 cm².
- Answer: 90 cm²
Find the area and circumference of a circle with radius 2 cm (to 1 d.p.).
- Area = πr² = π × 2² = 12.6 cm².
- Circumference = 2πr = 2 × π × 2 = 12.6 cm.
- Answer: Area 12.6 cm², circumference 12.6 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 Working with Symmetry
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Learn — Meet the idea.
Practice — Build fluency.
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Assess — Prove mastery.
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Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Working with Symmetry 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 Introducing Symmetry, Polygons. 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 Working with Symmetry?
- Move on to Symmetry in Context, Triangles, Quadrilaterals, Circles, which build directly on this idea.
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