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Free Grade 3 Introducing Reverse Percentages Lesson Plans

Free Grade 3 lesson plans for Introducing Reverse Percentages: 12 real questions with a full answer key and worked solutions. Per cent means 'out of 100'. Find 10% by dividing by 10 or 1% by dividing by 100, then build up. For an increase or decrease, use a multiplier.

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 introducing reverse percentages

    Explain introducing reverse percentages accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing reverse percentages

    Calculate introducing reverse percentages accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing reverse percentages

    Compare introducing reverse percentages accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introducing reverse percentages

    Justify introducing reverse percentages 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 Reverse Percentages works

Per cent means 'out of 100'. Find 10% by dividing by 10 or 1% by dividing by 100, then build up. For an increase or decrease, use a multiplier.

Key wordspercentincreasedecreasemultiplierdiscount

12 practice questions

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

  1. 1.Find 75% of 580.[1]
  2. 2.Find 75% of 360.[1]
  3. 3.Find 50% of 40.[1]
  4. 4.Find 25% of 780.[1]
  5. 5.Find 40% of 60.[2]
  6. 6.Find 60% of 640.[2]
  7. 7.Find 60% of 260.[2]
  8. 8.Find 30% of 780.[2]
  9. 9.Increase $780.00 by 60%.[3]
  10. 10.Decrease $620.00 by 20%.[3]
  11. 11.Decrease $120.00 by 40%.[3]
  12. 12.Decrease $140.00 by 40%.[3]
Show answers and working
  1. 1. 435

    1% of 580 = 5.8. 75% = 5.8 × 75 = 435.

  2. 2. 270

    1% of 360 = 3.6. 75% = 3.6 × 75 = 270.

  3. 3. 20

    1% of 40 = 0.4. 50% = 0.4 × 50 = 20.

  4. 4. 195

    1% of 780 = 7.8. 25% = 7.8 × 25 = 195.

  5. 5. 24

    1% of 60 = 0.6. 40% = 0.6 × 40 = 24.

  6. 6. 384

    1% of 640 = 6.4. 60% = 6.4 × 60 = 384.

  7. 7. 156

    1% of 260 = 2.6. 60% = 2.6 × 60 = 156.

  8. 8. 234

    1% of 780 = 7.8. 30% = 7.8 × 30 = 234.

  9. 9. $1248.00

    Multiplier: 1 + 0.6 = 1.6. 780 × 1.6 = 1248.

  10. 10. $496.00

    Multiplier: 1 − 0.2 = 0.8. 620 × 0.8 = 496.

  11. 11. $72.00

    Multiplier: 1 − 0.4 = 0.6. 120 × 0.6 = 72.

  12. 12. $84.00

    Multiplier: 1 − 0.4 = 0.6. 140 × 0.6 = 84.

Worked examples

Easy example

Find 25% of 360.

  1. 1% of 360 = 3.6.
  2. 25% = 3.6 × 25 = 90.
  3. Answer: 90
Medium example

Find 35% of 540.

  1. 1% of 540 = 5.4.
  2. 35% = 5.4 × 35 = 189.
  3. Answer: 189
Hard example

Decrease $660.00 by 12.5%.

  1. Multiplier: 1 − 0.125 = 0.875.
  2. 660 × 0.875 = 577.5.
  3. Answer: $577.50

Interactive practice

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

Common mistakes

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

  • Finds 10% and stops when asked for a 10% decrease.

    Correction: Subtract the 10% from the original.

  • Thinks a 50% rise then 50% fall returns to the start.

    Correction: The second percentage is of a different amount.

Teacher tips

  • · Teach 10%, 5%, 1% building blocks before multipliers.

Parent tips

  • · Work out the tip at a restaurant together.

Real-life applications

  • · Sales, tips, tax and interest.

Assessment objectives

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

COLLEGE-BOARD COL-901.1 — Mapped statement covering Introducing Reverse Percentages.AQA AQA-172.2 — Mapped statement covering Introducing Reverse Percentages.

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Frequently asked

Is this Grade 3 Introducing Reverse Percentages lesson plan really free?
Yes. Every lesson plans 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 Percentage Decrease. 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 Introducing Reverse Percentages?
Move on to Working with Reverse Percentages, Reverse Percentages in Context, Percentage of an Amount, Percentage Increase, which build directly on this idea.

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