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Free Grade 3 Introducing Direct Proportion Long Questions

Free Grade 3 long questions for Introducing Direct Proportion. Extended responses with method marks. Introducing Direct Proportion is a chapter within Direct Proportion: a coherent run of lessons that can be taught in one go.

Price

Free

Difficulty

Foundation

Estimated time

20 min

Total marks

20

Learning objectives

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

  • RememberIdentify introducing direct proportion

    Identify introducing direct proportion accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • RememberIdentify introducing direct proportion

    Identify introducing direct proportion independently in an unfamiliar context.

    Assessed by: Marked worksheet with a marking scheme

  • UnderstandExplain introducing direct proportion

    Explain introducing direct proportion accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing direct proportion

    Explain introducing direct proportion independently in an unfamiliar context.

    Assessed by: Marked worksheet with a marking scheme

  • EvaluateExplain introducing direct proportion

    Explain the reasoning behind introducing direct proportion using correct vocabulary.

    Assessed by: Extended written response, levelled

  • ApplyCalculate introducing direct proportion

    Calculate introducing direct proportion accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing direct proportion

    Calculate introducing direct proportion independently in an unfamiliar context.

    Assessed by: Marked worksheet with a marking scheme

  • AnalyseCompare introducing direct proportion

    Compare introducing direct proportion accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing direct proportion

    Compare introducing direct proportion independently in an unfamiliar context.

    Assessed by: Marked worksheet with a marking scheme

  • EvaluateCompare introducing direct proportion

    Explain the reasoning behind introducing direct proportion using correct vocabulary.

    Assessed by: Extended written response, levelled

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

Core explanation

Chapter definition used across every free resource for this entity.

Introducing Direct Proportion is a chapter within Direct Proportion: a coherent run of lessons that can be taught in one go.

This long questions sequences the idea from recognition through understanding and application to reasoning and mastery, so a learner can start anywhere on the ladder.

Worked examples

Worked example 1

Apply Introducing Direct Proportion in a routine context.

  1. Read the problem and name what Introducing Direct Proportion is being used for.
  2. Set out the method exactly as modelled in the lesson.
  3. Complete the calculation or reasoning step by step.
  4. Check the answer against an estimate or the original condition.
Worked example 2

Apply Introducing Direct Proportion in a multi-step context.

  1. Read the problem and name what Introducing Direct Proportion is being used for.
  2. Set out the method exactly as modelled in the lesson.
  3. Complete the calculation or reasoning step by step.
  4. Check the answer against an estimate or the original condition.
Worked example 3

Apply Introducing Direct Proportion in a unfamiliar context.

  1. Read the problem and name what Introducing Direct Proportion is being used for.
  2. Set out the method exactly as modelled in the lesson.
  3. Complete the calculation or reasoning step by step.
  4. Check the answer against an estimate or the original condition.

Interactive practice

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

Common mistakes

The misconceptions stored on this entity, with the correction to give.

  • Confident students rush introducing direct proportion and skip the checking step.

    Correction: Build in an estimate-before-solve routine so an unreasonable answer stands out.

  • Learners over-generalise a special case of introducing direct proportion to every situation.

    Correction: Present a deliberate non-example and ask why the rule fails.

Teacher tips

  • · Model Introducing Direct Proportion once in full before releasing any independent practice.
  • · Use the misconception list below as your live marking checklist.
  • · Exit ticket: three items, one from each difficulty band.

Parent tips

  • · Ask your child to explain Introducing Direct Proportion back to you in their own words.
  • · Two short sessions beat one long one — ten minutes is plenty.
  • · If they stall, drop to the prerequisite below rather than repeating the same question.

Real-life applications

  • · Introducing Direct Proportion in everyday measurement, money and time.
  • · Introducing Direct Proportion inside later chapter work in math.
  • · Introducing Direct Proportion in exam questions that hide the method inside a story.

Assessment objectives

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

CAMBRIDGE CAM-692.1 — Mapped statement covering Introducing Direct Proportion.NATIONAL-CURRICULUM NAT-368.2 — Mapped statement covering Introducing Direct Proportion.

Every free resource for Introducing Direct Proportion

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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 Introducing Direct Proportion long questions really free?
Yes. Every long questions 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 Ratio. Each one has its own free lesson, worksheet and quiz.
How is the long questions 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 Direct Proportion?
Move on to Working with Direct Proportion, Direct Proportion in Context, Inverse Proportion, Scale Factors, which build directly on this idea.

Related resources

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