Free Grade 3 Working with Symmetry Worksheets
Free Grade 3 worksheets 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
Stretch
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 7 cm by 8 cm. Find its perimeter and area.[1]
- 2.A rectangle is 7 cm by 3 cm. Find its perimeter and area.[1]
- 3.A rectangle is 14 cm by 11 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 14 cm and height 7 cm. Find its area.[2]
- 6.A triangle has base 26 cm and height 15 cm. Find its area.[2]
- 7.A triangle has base 22 cm and height 5 cm. Find its area.[2]
- 8.A triangle has base 8 cm and height 14 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 4 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 5 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 12 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 30 cm, area 56 cm²
Perimeter = 7 + 8 + 7 + 8 = 30 cm. Area = 7 × 8 = 56 cm².
2. Perimeter 20 cm, area 21 cm²
Perimeter = 7 + 3 + 7 + 3 = 20 cm. Area = 7 × 3 = 21 cm².
3. Perimeter 50 cm, area 154 cm²
Perimeter = 14 + 11 + 14 + 11 = 50 cm. Area = 14 × 11 = 154 cm².
4. Perimeter 32 cm, area 39 cm²
Perimeter = 3 + 13 + 3 + 13 = 32 cm. Area = 3 × 13 = 39 cm².
5. 49 cm²
Area = ½ × base × height. ½ × 14 × 7 = 49 cm².
6. 195 cm²
Area = ½ × base × height. ½ × 26 × 15 = 195 cm².
7. 55 cm²
Area = ½ × base × height. ½ × 22 × 5 = 55 cm².
8. 56 cm²
Area = ½ × base × height. ½ × 8 × 14 = 56 cm².
9. Area 50.3 cm², circumference 25.1 cm
Area = πr² = π × 4² = 50.3 cm². Circumference = 2πr = 2 × π × 4 = 25.1 cm.
10. Area 78.5 cm², circumference 31.4 cm
Area = πr² = π × 5² = 78.5 cm². Circumference = 2πr = 2 × π × 5 = 31.4 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 452.4 cm², circumference 75.4 cm
Area = πr² = π × 12² = 452.4 cm². Circumference = 2πr = 2 × π × 12 = 75.4 cm.
Worked examples
A rectangle is 3 cm by 9 cm. Find its perimeter and area.
- Perimeter = 3 + 9 + 3 + 9 = 24 cm.
- Area = 3 × 9 = 27 cm².
- Answer: Perimeter 24 cm, area 27 cm²
A triangle has base 10 cm and height 7 cm. Find its area.
- Area = ½ × base × height.
- ½ × 10 × 7 = 35 cm².
- Answer: 35 cm²
Find the area and circumference of a circle with radius 7 cm (to 1 d.p.).
- Area = πr² = π × 7² = 153.9 cm².
- Circumference = 2πr = 2 × π × 7 = 44 cm.
- Answer: Area 153.9 cm², circumference 44 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
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
All free formats for this concept
Every kind below is a real page, generated from this entity.
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 Working with Symmetry worksheet really free?
- Yes. Every worksheets 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 worksheet 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.
Related resources
Stuck on Working with Symmetry? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor