Free Grade 3 Quadrilaterals Lessons
Free Grade 3 lessons for Quadrilaterals: 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 quadrilaterals
Explain quadrilaterals accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate quadrilaterals
Calculate quadrilaterals accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare quadrilaterals
Compare quadrilaterals accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify quadrilaterals
Justify quadrilaterals 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 Quadrilaterals 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 2 cm by 15 cm. Find its perimeter and area.[1]
- 2.A rectangle is 15 cm by 13 cm. Find its perimeter and area.[1]
- 3.A rectangle is 7 cm by 5 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 10 cm and height 6 cm. Find its area.[2]
- 6.A triangle has base 6 cm and height 15 cm. Find its area.[2]
- 7.A triangle has base 8 cm and height 12 cm. Find its area.[2]
- 8.A triangle has base 16 cm and height 10 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 6 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 2 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 34 cm, area 30 cm²
Perimeter = 2 + 15 + 2 + 15 = 34 cm. Area = 2 × 15 = 30 cm².
2. Perimeter 56 cm, area 195 cm²
Perimeter = 15 + 13 + 15 + 13 = 56 cm. Area = 15 × 13 = 195 cm².
3. Perimeter 24 cm, area 35 cm²
Perimeter = 7 + 5 + 7 + 5 = 24 cm. Area = 7 × 5 = 35 cm².
4. Perimeter 46 cm, area 130 cm²
Perimeter = 13 + 10 + 13 + 10 = 46 cm. Area = 13 × 10 = 130 cm².
5. 30 cm²
Area = ½ × base × height. ½ × 10 × 6 = 30 cm².
6. 45 cm²
Area = ½ × base × height. ½ × 6 × 15 = 45 cm².
7. 48 cm²
Area = ½ × base × height. ½ × 8 × 12 = 48 cm².
8. 80 cm²
Area = ½ × base × height. ½ × 16 × 10 = 80 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 113.1 cm², circumference 37.7 cm
Area = πr² = π × 6² = 113.1 cm². Circumference = 2πr = 2 × π × 6 = 37.7 cm.
12. Area 12.6 cm², circumference 12.6 cm
Area = πr² = π × 2² = 12.6 cm². Circumference = 2πr = 2 × π × 2 = 12.6 cm.
Worked examples
A rectangle is 11 cm by 3 cm. Find its perimeter and area.
- Perimeter = 11 + 3 + 11 + 3 = 28 cm.
- Area = 11 × 3 = 33 cm².
- Answer: Perimeter 28 cm, area 33 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 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 Quadrilaterals
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 Quadrilaterals 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 Triangles, Angles. 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 Quadrilaterals?
- Move on to Circles, Polygons, Symmetry, Angles, which build directly on this idea.
Related resources
Stuck on Quadrilaterals? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor