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Free Grade 3 Introducing Percentage Decrease Essentials Lessons

Free Grade 3 lessons for Introducing Percentage Decrease Essentials: 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

Higher

Estimated time

30 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing percentage decrease essentials

    Identify introducing percentage decrease essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing percentage decrease essentials

    Explain introducing percentage decrease essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing percentage decrease essentials

    Calculate introducing percentage decrease essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing percentage decrease essentials

    Compare introducing percentage decrease essentials 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 Percentage Decrease Essentials 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 50% of 780.[1]
  2. 2.Find 25% of 60.[1]
  3. 3.Find 10% of 460.[1]
  4. 4.Find 25% of 320.[1]
  5. 5.Find 5% of 580.[2]
  6. 6.Find 35% of 220.[2]
  7. 7.Find 60% of 60.[2]
  8. 8.Find 12.5% of 260.[2]
  9. 9.Decrease $780.00 by 20%.[3]
  10. 10.Increase $480.00 by 15%.[3]
  11. 11.Increase $540.00 by 5%.[3]
  12. 12.Decrease $300.00 by 40%.[3]
Show answers and working
  1. 1. 390

    1% of 780 = 7.8. 50% = 7.8 × 50 = 390.

  2. 2. 15

    1% of 60 = 0.6. 25% = 0.6 × 25 = 15.

  3. 3. 46

    1% of 460 = 4.6. 10% = 4.6 × 10 = 46.

  4. 4. 80

    1% of 320 = 3.2. 25% = 3.2 × 25 = 80.

  5. 5. 29

    1% of 580 = 5.8. 5% = 5.8 × 5 = 29.

  6. 6. 77

    1% of 220 = 2.2. 35% = 2.2 × 35 = 77.

  7. 7. 36

    1% of 60 = 0.6. 60% = 0.6 × 60 = 36.

  8. 8. 32.5

    1% of 260 = 2.6. 12.5% = 2.6 × 12.5 = 32.5.

  9. 9. $624.00

    Multiplier: 1 − 0.2 = 0.8. 780 × 0.8 = 624.

  10. 10. $552.00

    Multiplier: 1 + 0.15 = 1.15. 480 × 1.15 = 552.

  11. 11. $567.00

    Multiplier: 1 + 0.05 = 1.05. 540 × 1.05 = 567.

  12. 12. $180.00

    Multiplier: 1 − 0.4 = 0.6. 300 × 0.6 = 180.

Worked examples

Easy example

Find 25% of 620.

  1. 1% of 620 = 6.2.
  2. 25% = 6.2 × 25 = 155.
  3. Answer: 155
Medium example

Find 40% of 200.

  1. 1% of 200 = 2.
  2. 40% = 2 × 40 = 80.
  3. Answer: 80
Hard example

Decrease $200.00 by 5%.

  1. Multiplier: 1 − 0.05 = 0.95.
  2. 200 × 0.95 = 190.
  3. Answer: $190.00

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.

COMMON-CORE COM-141.1 — Mapped statement covering Introducing Percentage Decrease Essentials.OCR OCR-642.2 — Mapped statement covering Introducing Percentage Decrease Essentials.

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Frequently asked

Is this Grade 3 Introducing Percentage Decrease Essentials 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 Percentage Increase. 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 Introducing Percentage Decrease Essentials?
Move on to Introducing Percentage Decrease Techniques, Introducing Percentage Decrease Word Problems, Introducing Percentage Decrease Common Errors, Working with Percentage Decrease, which build directly on this idea.

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