Free Grade 3 2D Shapes Worksheets
Free Grade 3 worksheets for 2D Shapes: 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.
- RememberIdentify 2d shapes
Identify 2d shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain 2d shapes
Explain 2d shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate 2d shapes
Calculate 2d shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare 2d shapes
Compare 2d shapes 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 2D Shapes 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 10 cm. Find its perimeter and area.[1]
- 2.A rectangle is 15 cm by 2 cm. Find its perimeter and area.[1]
- 3.A rectangle is 8 cm by 8 cm. Find its perimeter and area.[1]
- 4.A rectangle is 8 cm by 11 cm. Find its perimeter and area.[1]
- 5.A triangle has base 6 cm and height 6 cm. Find its area.[2]
- 6.A triangle has base 22 cm and height 13 cm. Find its area.[2]
- 7.A triangle has base 30 cm and height 14 cm. Find its area.[2]
- 8.A triangle has base 8 cm and height 11 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 8 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 10 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 11 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 5 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 34 cm, area 70 cm²
Perimeter = 7 + 10 + 7 + 10 = 34 cm. Area = 7 × 10 = 70 cm².
2. Perimeter 34 cm, area 30 cm²
Perimeter = 15 + 2 + 15 + 2 = 34 cm. Area = 15 × 2 = 30 cm².
3. Perimeter 32 cm, area 64 cm²
Perimeter = 8 + 8 + 8 + 8 = 32 cm. Area = 8 × 8 = 64 cm².
4. Perimeter 38 cm, area 88 cm²
Perimeter = 8 + 11 + 8 + 11 = 38 cm. Area = 8 × 11 = 88 cm².
5. 18 cm²
Area = ½ × base × height. ½ × 6 × 6 = 18 cm².
6. 143 cm²
Area = ½ × base × height. ½ × 22 × 13 = 143 cm².
7. 210 cm²
Area = ½ × base × height. ½ × 30 × 14 = 210 cm².
8. 44 cm²
Area = ½ × base × height. ½ × 8 × 11 = 44 cm².
9. Area 201.1 cm², circumference 50.3 cm
Area = πr² = π × 8² = 201.1 cm². Circumference = 2πr = 2 × π × 8 = 50.3 cm.
10. Area 314.2 cm², circumference 62.8 cm
Area = πr² = π × 10² = 314.2 cm². Circumference = 2πr = 2 × π × 10 = 62.8 cm.
11. Area 380.1 cm², circumference 69.1 cm
Area = πr² = π × 11² = 380.1 cm². Circumference = 2πr = 2 × π × 11 = 69.1 cm.
12. Area 78.5 cm², circumference 31.4 cm
Area = πr² = π × 5² = 78.5 cm². Circumference = 2πr = 2 × π × 5 = 31.4 cm.
Worked examples
A rectangle is 15 cm by 4 cm. Find its perimeter and area.
- Perimeter = 15 + 4 + 15 + 4 = 38 cm.
- Area = 15 × 4 = 60 cm².
- Answer: Perimeter 38 cm, area 60 cm²
A triangle has base 22 cm and height 14 cm. Find its area.
- Area = ½ × base × height.
- ½ × 22 × 14 = 154 cm².
- Answer: 154 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 2D Shapes
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 2D Shapes 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 Angles, Algebra. 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 2D Shapes?
- Move on to Perimeter and Area, 3D Shapes, Transformations, Constructions, which build directly on this idea.
Related resources
Stuck on 2D Shapes? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor