Free Grade 3 Introducing Compound Shapes Word Problems Lessons
Free Grade 3 lessons for Introducing Compound Shapes Word Problems: 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 introducing compound shapes word problems
Explain introducing compound shapes word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing compound shapes word problems
Calculate introducing compound shapes word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing compound shapes word problems
Compare introducing compound shapes word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing compound shapes word problems
Justify introducing compound shapes word problems 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 Introducing Compound Shapes Word Problems 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 5 cm. Find its perimeter and area.[1]
- 2.A rectangle is 6 cm by 5 cm. Find its perimeter and area.[1]
- 3.A rectangle is 12 cm by 7 cm. Find its perimeter and area.[1]
- 4.A rectangle is 4 cm by 4 cm. Find its perimeter and area.[1]
- 5.A triangle has base 14 cm and height 14 cm. Find its area.[2]
- 6.A triangle has base 6 cm and height 9 cm. Find its area.[2]
- 7.A triangle has base 30 cm and height 7 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 11 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 2 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 5 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 4 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 36 cm, area 65 cm²
Perimeter = 13 + 5 + 13 + 5 = 36 cm. Area = 13 × 5 = 65 cm².
2. Perimeter 22 cm, area 30 cm²
Perimeter = 6 + 5 + 6 + 5 = 22 cm. Area = 6 × 5 = 30 cm².
3. Perimeter 38 cm, area 84 cm²
Perimeter = 12 + 7 + 12 + 7 = 38 cm. Area = 12 × 7 = 84 cm².
4. Perimeter 16 cm, area 16 cm²
Perimeter = 4 + 4 + 4 + 4 = 16 cm. Area = 4 × 4 = 16 cm².
5. 98 cm²
Area = ½ × base × height. ½ × 14 × 14 = 98 cm².
6. 27 cm²
Area = ½ × base × height. ½ × 6 × 9 = 27 cm².
7. 105 cm²
Area = ½ × base × height. ½ × 30 × 7 = 105 cm².
8. 56 cm²
Area = ½ × base × height. ½ × 8 × 14 = 56 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 12.6 cm², circumference 12.6 cm
Area = πr² = π × 2² = 12.6 cm². Circumference = 2πr = 2 × π × 2 = 12.6 cm.
11. Area 78.5 cm², circumference 31.4 cm
Area = πr² = π × 5² = 78.5 cm². Circumference = 2πr = 2 × π × 5 = 31.4 cm.
12. Area 50.3 cm², circumference 25.1 cm
Area = πr² = π × 4² = 50.3 cm². Circumference = 2πr = 2 × π × 4 = 25.1 cm.
Worked examples
A rectangle is 12 cm by 11 cm. Find its perimeter and area.
- Perimeter = 12 + 11 + 12 + 11 = 46 cm.
- Area = 12 × 11 = 132 cm².
- Answer: Perimeter 46 cm, area 132 cm²
A triangle has base 14 cm and height 9 cm. Find its area.
- Area = ½ × base × height.
- ½ × 14 × 9 = 63 cm².
- Answer: 63 cm²
Find the area and circumference of a circle with radius 8 cm (to 1 d.p.).
- Area = πr² = π × 8² = 201.1 cm².
- Circumference = 2πr = 2 × π × 8 = 50.3 cm.
- Answer: Area 201.1 cm², circumference 50.3 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 Introducing Compound Shapes Word Problems
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 Introducing Compound Shapes Word Problems lesson really free?
- Yes. Every lessons 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 Compound Shapes Techniques, Introducing Compound Shapes Essentials, Area of Circles. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Introducing Compound Shapes Word Problems?
- Move on to Introducing Compound Shapes Common Errors, Working with Compound Shapes, Compound Shapes in Context, which build directly on this idea.
Related resources
- Free Introducing Compound Shapes Word Problems worksheets
- Free Introducing Compound Shapes Word Problems quizzes
- Free Introducing Compound Shapes Word Problems flashcards
- Free Introducing Compound Shapes Word Problems lesson plans
- Introducing Compound Shapes Word Problems in the knowledge graph
- Free AI Tutor
Stuck on Introducing Compound Shapes Word Problems? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor