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Free Grade 3 Quadrilaterals Worksheets

Free Grade 3 worksheets 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.

Price

Free

Difficulty

Stretch

Estimated time

35 min

Total marks

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.

Key wordsperimeterareasquare unitsradiuscircumference

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.A rectangle is 10 cm by 9 cm. Find its perimeter and area.[1]
  2. 2.A rectangle is 2 cm by 2 cm. Find its perimeter and area.[1]
  3. 3.A rectangle is 11 cm by 15 cm. Find its perimeter and area.[1]
  4. 4.A rectangle is 6 cm by 6 cm. Find its perimeter and area.[1]
  5. 5.A triangle has base 26 cm and height 2 cm. Find its area.[2]
  6. 6.A triangle has base 18 cm and height 11 cm. Find its area.[2]
  7. 7.A triangle has base 14 cm and height 8 cm. Find its area.[2]
  8. 8.A triangle has base 8 cm and height 15 cm. Find its area.[2]
  9. 9.Find the area and circumference of a circle with radius 11 cm (to 1 d.p.).[3]
  10. 10.Find the area and circumference of a circle with radius 5 cm (to 1 d.p.).[3]
  11. 11.Find the area and circumference of a circle with radius 8 cm (to 1 d.p.).[3]
  12. 12.Find the area and circumference of a circle with radius 2 cm (to 1 d.p.).[3]
Show answers and working
  1. 1. Perimeter 38 cm, area 90 cm²

    Perimeter = 10 + 9 + 10 + 9 = 38 cm. Area = 10 × 9 = 90 cm².

  2. 2. Perimeter 8 cm, area 4 cm²

    Perimeter = 2 + 2 + 2 + 2 = 8 cm. Area = 2 × 2 = 4 cm².

  3. 3. Perimeter 52 cm, area 165 cm²

    Perimeter = 11 + 15 + 11 + 15 = 52 cm. Area = 11 × 15 = 165 cm².

  4. 4. Perimeter 24 cm, area 36 cm²

    Perimeter = 6 + 6 + 6 + 6 = 24 cm. Area = 6 × 6 = 36 cm².

  5. 5. 26 cm²

    Area = ½ × base × height. ½ × 26 × 2 = 26 cm².

  6. 6. 99 cm²

    Area = ½ × base × height. ½ × 18 × 11 = 99 cm².

  7. 7. 56 cm²

    Area = ½ × base × height. ½ × 14 × 8 = 56 cm².

  8. 8. 60 cm²

    Area = ½ × base × height. ½ × 8 × 15 = 60 cm².

  9. 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. 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. 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. 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

Easy example

A rectangle is 11 cm by 8 cm. Find its perimeter and area.

  1. Perimeter = 11 + 8 + 11 + 8 = 38 cm.
  2. Area = 11 × 8 = 88 cm².
  3. Answer: Perimeter 38 cm, area 88 cm²
Medium example

A triangle has base 4 cm and height 3 cm. Find its area.

  1. Area = ½ × base × height.
  2. ½ × 4 × 3 = 6 cm².
  3. Answer: 6 cm²
Hard example

Find the area and circumference of a circle with radius 9 cm (to 1 d.p.).

  1. Area = πr² = π × 9² = 254.5 cm².
  2. Circumference = 2πr = 2 × π × 9 = 56.5 cm.
  3. Answer: Area 254.5 cm², circumference 56.5 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.

OCR OCR-797.1 — Mapped statement covering Quadrilaterals.CAMBRIDGE CAM-499.2 — Mapped statement covering Quadrilaterals.

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

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Frequently asked

Is this Grade 3 Quadrilaterals 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 Triangles, Angles. 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 Quadrilaterals?
Move on to Circles, Polygons, Symmetry, Angles, which build directly on this idea.

Related resources

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