Free Grade 3 Compound Shapes Worksheets
Free Grade 3 worksheets for Compound 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
Core
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain compound shapes
Explain compound shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate compound shapes
Calculate compound shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare compound shapes
Compare compound shapes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify compound shapes
Justify compound 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 Compound 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 9 cm by 4 cm. Find its perimeter and area.[1]
- 2.A rectangle is 5 cm by 9 cm. Find its perimeter and area.[1]
- 3.A rectangle is 7 cm by 6 cm. Find its perimeter and area.[1]
- 4.A rectangle is 13 cm by 10 cm. Find its perimeter and area.[1]
- 5.A triangle has base 24 cm and height 12 cm. Find its area.[2]
- 6.A triangle has base 16 cm and height 3 cm. Find its area.[2]
- 7.A triangle has base 12 cm and height 9 cm. Find its area.[2]
- 8.A triangle has base 10 cm and height 2 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 3 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 12 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 26 cm, area 36 cm²
Perimeter = 9 + 4 + 9 + 4 = 26 cm. Area = 9 × 4 = 36 cm².
2. Perimeter 28 cm, area 45 cm²
Perimeter = 5 + 9 + 5 + 9 = 28 cm. Area = 5 × 9 = 45 cm².
3. Perimeter 26 cm, area 42 cm²
Perimeter = 7 + 6 + 7 + 6 = 26 cm. Area = 7 × 6 = 42 cm².
4. Perimeter 46 cm, area 130 cm²
Perimeter = 13 + 10 + 13 + 10 = 46 cm. Area = 13 × 10 = 130 cm².
5. 144 cm²
Area = ½ × base × height. ½ × 24 × 12 = 144 cm².
6. 24 cm²
Area = ½ × base × height. ½ × 16 × 3 = 24 cm².
7. 54 cm²
Area = ½ × base × height. ½ × 12 × 9 = 54 cm².
8. 10 cm²
Area = ½ × base × height. ½ × 10 × 2 = 10 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 28.3 cm², circumference 18.8 cm
Area = πr² = π × 3² = 28.3 cm². Circumference = 2πr = 2 × π × 3 = 18.8 cm.
11. Area 452.4 cm², circumference 75.4 cm
Area = πr² = π × 12² = 452.4 cm². Circumference = 2πr = 2 × π × 12 = 75.4 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 4 cm by 8 cm. Find its perimeter and area.
- Perimeter = 4 + 8 + 4 + 8 = 24 cm.
- Area = 4 × 8 = 32 cm².
- Answer: Perimeter 24 cm, area 32 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 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 Compound 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 Compound 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 Area of Circles, Area of Triangles, 2D Shapes. 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 Compound Shapes?
- Move on to Angles, 2D Shapes, 3D Shapes, Transformations, which build directly on this idea.
Related resources
Stuck on Compound Shapes? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor