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Free Grade 3 Fractions in Exam Questions in Context Lesson Plans

Free Grade 3 lesson plans for Fractions in Exam Questions in Context: 12 real questions with a full answer key and worked solutions. A fraction describes equal parts of a whole. The denominator (bottom) is how many equal parts there are; the numerator (top) is how many we are talking about.

Price

Free

Difficulty

Foundation

Estimated time

25 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify fractions in exam questions in context

    Identify fractions in exam questions in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain fractions in exam questions in context

    Explain fractions in exam questions in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate fractions in exam questions in context

    Calculate fractions in exam questions in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare fractions in exam questions in context

    Compare fractions in exam questions in context 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 Fractions in Exam Questions in Context works

A fraction describes equal parts of a whole. The denominator (bottom) is how many equal parts there are; the numerator (top) is how many we are talking about.

Key wordsfractionnumeratordenominatorequal partsunit fraction

12 practice questions

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

  1. 1.A shape is split into 7 equal parts and 6 are shaded. What fraction is shaded, and what fraction is not?[1]
  2. 2.A shape is split into 3 equal parts and 1 are shaded. What fraction is shaded, and what fraction is not?[1]
  3. 3.A shape is split into 5 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?[1]
  4. 4.A shape is split into 6 equal parts and 3 are shaded. What fraction is shaded, and what fraction is not?[1]
  5. 5.A shape is split into 7 equal parts and 1 are shaded. What fraction is shaded, and what fraction is not?[2]
  6. 6.A shape is split into 11 equal parts and 10 are shaded. What fraction is shaded, and what fraction is not?[2]
  7. 7.A shape is split into 9 equal parts and 8 are shaded. What fraction is shaded, and what fraction is not?[2]
  8. 8.A shape is split into 11 equal parts and 6 are shaded. What fraction is shaded, and what fraction is not?[2]
  9. 9.A shape is split into 11 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?[3]
  10. 10.A shape is split into 10 equal parts and 6 are shaded. What fraction is shaded, and what fraction is not?[3]
  11. 11.A shape is split into 7 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?[3]
  12. 12.A shape is split into 16 equal parts and 5 are shaded. What fraction is shaded, and what fraction is not?[3]
Show answers and working
  1. 1. 6/7 shaded, 1/7 not shaded

    Denominator = total equal parts = 7. Numerator = shaded parts = 6. Unshaded: 7 − 6 = 1, so 1/7.

  2. 2. 1/3 shaded, 2/3 not shaded

    Denominator = total equal parts = 3. Numerator = shaded parts = 1. Unshaded: 3 − 1 = 2, so 2/3.

  3. 3. 2/5 shaded, 3/5 not shaded

    Denominator = total equal parts = 5. Numerator = shaded parts = 2. Unshaded: 5 − 2 = 3, so 3/5.

  4. 4. 3/6 shaded, 3/6 not shaded

    Denominator = total equal parts = 6. Numerator = shaded parts = 3. Unshaded: 6 − 3 = 3, so 3/6.

  5. 5. 1/7 shaded, 6/7 not shaded

    Denominator = total equal parts = 7. Numerator = shaded parts = 1. Unshaded: 7 − 1 = 6, so 6/7.

  6. 6. 10/11 shaded, 1/11 not shaded

    Denominator = total equal parts = 11. Numerator = shaded parts = 10. Unshaded: 11 − 10 = 1, so 1/11.

  7. 7. 8/9 shaded, 1/9 not shaded

    Denominator = total equal parts = 9. Numerator = shaded parts = 8. Unshaded: 9 − 8 = 1, so 1/9.

  8. 8. 6/11 shaded, 5/11 not shaded

    Denominator = total equal parts = 11. Numerator = shaded parts = 6. Unshaded: 11 − 6 = 5, so 5/11.

  9. 9. 2/11 shaded, 9/11 not shaded

    Denominator = total equal parts = 11. Numerator = shaded parts = 2. Unshaded: 11 − 2 = 9, so 9/11.

  10. 10. 6/10 shaded, 4/10 not shaded

    Denominator = total equal parts = 10. Numerator = shaded parts = 6. Unshaded: 10 − 6 = 4, so 4/10.

  11. 11. 2/7 shaded, 5/7 not shaded

    Denominator = total equal parts = 7. Numerator = shaded parts = 2. Unshaded: 7 − 2 = 5, so 5/7.

  12. 12. 5/16 shaded, 11/16 not shaded

    Denominator = total equal parts = 16. Numerator = shaded parts = 5. Unshaded: 16 − 5 = 11, so 11/16.

Worked examples

Easy example

A shape is split into 4 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?

  1. Denominator = total equal parts = 4.
  2. Numerator = shaded parts = 2.
  3. Unshaded: 4 − 2 = 2, so 2/4.
  4. Answer: 2/4 shaded, 2/4 not shaded
Medium example

A shape is split into 6 equal parts and 4 are shaded. What fraction is shaded, and what fraction is not?

  1. Denominator = total equal parts = 6.
  2. Numerator = shaded parts = 4.
  3. Unshaded: 6 − 4 = 2, so 2/6.
  4. Answer: 4/6 shaded, 2/6 not shaded
Hard example

A shape is split into 3 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?

  1. Denominator = total equal parts = 3.
  2. Numerator = shaded parts = 2.
  3. Unshaded: 3 − 2 = 1, so 1/3.
  4. Answer: 2/3 shaded, 1/3 not shaded

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Counts unequal parts as fractions.

    Correction: Parts must be the same size.

  • Swaps numerator and denominator.

    Correction: The denominator is down — it is the total number of parts.

Teacher tips

  • · Fold paper strips into equal parts and label them.

Parent tips

  • · Ask what fraction of the family is wearing blue.

Real-life applications

  • · Sharing food fairly, telling the time (quarter past).

Assessment objectives

How mastery is evidenced, and which standards it maps to.

CAMBRIDGE CAM-318.1 — Mapped statement covering Fractions in Exam Questions in Context.NATIONAL-CURRICULUM NAT-690.2 — Mapped statement covering Fractions in Exam Questions in Context.

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Frequently asked

Is this Grade 3 Fractions in Exam Questions in Context lesson plan really free?
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What should a learner already know before this?
Start with Working with Fractions in Exam Questions, Introducing Fractions in Exam Questions, Common Fraction Errors. Each one has its own free lesson, worksheet and quiz.
How is the lesson plan 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 Fractions in Exam Questions in Context?
Move on to Introduction to Fractions, Parts of a Fraction, Numerator, Denominator, which build directly on this idea.

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