Free Grade 3 Symmetry Quizzes
Free Grade 3 quizzes for 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain symmetry
Explain symmetry accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate symmetry
Calculate symmetry accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare symmetry
Compare symmetry accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify symmetry
Justify 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 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 13 cm by 9 cm. Find its perimeter and area.[1]
- 2.A rectangle is 5 cm by 6 cm. Find its perimeter and area.[1]
- 3.A rectangle is 10 cm by 8 cm. Find its perimeter and area.[1]
- 4.A rectangle is 5 cm by 2 cm. Find its perimeter and area.[1]
- 5.A triangle has base 10 cm and height 14 cm. Find its area.[2]
- 6.A triangle has base 8 cm and height 8 cm. Find its area.[2]
- 7.A triangle has base 8 cm and height 9 cm. Find its area.[2]
- 8.A triangle has base 18 cm and height 14 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 12 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 3 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 44 cm, area 117 cm²
Perimeter = 13 + 9 + 13 + 9 = 44 cm. Area = 13 × 9 = 117 cm².
2. Perimeter 22 cm, area 30 cm²
Perimeter = 5 + 6 + 5 + 6 = 22 cm. Area = 5 × 6 = 30 cm².
3. Perimeter 36 cm, area 80 cm²
Perimeter = 10 + 8 + 10 + 8 = 36 cm. Area = 10 × 8 = 80 cm².
4. Perimeter 14 cm, area 10 cm²
Perimeter = 5 + 2 + 5 + 2 = 14 cm. Area = 5 × 2 = 10 cm².
5. 70 cm²
Area = ½ × base × height. ½ × 10 × 14 = 70 cm².
6. 32 cm²
Area = ½ × base × height. ½ × 8 × 8 = 32 cm².
7. 36 cm²
Area = ½ × base × height. ½ × 8 × 9 = 36 cm².
8. 126 cm²
Area = ½ × base × height. ½ × 18 × 14 = 126 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 452.4 cm², circumference 75.4 cm
Area = πr² = π × 12² = 452.4 cm². Circumference = 2πr = 2 × π × 12 = 75.4 cm.
11. Area 28.3 cm², circumference 18.8 cm
Area = πr² = π × 3² = 28.3 cm². Circumference = 2πr = 2 × π × 3 = 18.8 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 10 cm by 15 cm. Find its perimeter and area.
- Perimeter = 10 + 15 + 10 + 15 = 50 cm.
- Area = 10 × 15 = 150 cm².
- Answer: Perimeter 50 cm, area 150 cm²
A triangle has base 8 cm and height 13 cm. Find its area.
- Area = ½ × base × height.
- ½ × 8 × 13 = 52 cm².
- Answer: 52 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 Symmetry
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 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 Polygons, Circles, Angles. 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 Symmetry?
- Move on to Angles, Perimeter and Area, 3D Shapes, Transformations, which build directly on this idea.
Related resources
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