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Free Grade 3 Percentage of an Amount Lessons

Free Grade 3 lessons for Percentage of an Amount: 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

20 min

Total marks

24

Learning objectives

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

  • RememberIdentify percentage of an amount

    Identify percentage of an amount accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain percentage of an amount

    Explain percentage of an amount accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate percentage of an amount

    Calculate percentage of an amount accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare percentage of an amount

    Compare percentage of an amount 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 Percentage of an Amount 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 10% of 140.[1]
  2. 2.Find 25% of 760.[1]
  3. 3.Find 25% of 60.[1]
  4. 4.Find 75% of 440.[1]
  5. 5.Find 20% of 800.[2]
  6. 6.Find 15% of 320.[2]
  7. 7.Find 20% of 420.[2]
  8. 8.Find 35% of 680.[2]
  9. 9.Decrease $160.00 by 35%.[3]
  10. 10.Increase $560.00 by 12.5%.[3]
  11. 11.Decrease $500.00 by 5%.[3]
  12. 12.Decrease $260.00 by 35%.[3]
Show answers and working
  1. 1. 14

    1% of 140 = 1.4. 10% = 1.4 × 10 = 14.

  2. 2. 190

    1% of 760 = 7.6. 25% = 7.6 × 25 = 190.

  3. 3. 15

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

  4. 4. 330

    1% of 440 = 4.4. 75% = 4.4 × 75 = 330.

  5. 5. 160

    1% of 800 = 8. 20% = 8 × 20 = 160.

  6. 6. 48

    1% of 320 = 3.2. 15% = 3.2 × 15 = 48.

  7. 7. 84

    1% of 420 = 4.2. 20% = 4.2 × 20 = 84.

  8. 8. 238

    1% of 680 = 6.8. 35% = 6.8 × 35 = 238.

  9. 9. $104.00

    Multiplier: 1 − 0.35 = 0.65. 160 × 0.65 = 104.

  10. 10. $630.00

    Multiplier: 1 + 0.125 = 1.125. 560 × 1.125 = 630.

  11. 11. $475.00

    Multiplier: 1 − 0.05 = 0.95. 500 × 0.95 = 475.

  12. 12. $169.00

    Multiplier: 1 − 0.35 = 0.65. 260 × 0.65 = 169.

Worked examples

Easy example

Find 75% of 60.

  1. 1% of 60 = 0.6.
  2. 75% = 0.6 × 75 = 45.
  3. Answer: 45
Medium example

Find 60% of 60.

  1. 1% of 60 = 0.6.
  2. 60% = 0.6 × 60 = 36.
  3. Answer: 36
Hard example

Decrease $140.00 by 15%.

  1. Multiplier: 1 − 0.15 = 0.85.
  2. 140 × 0.85 = 119.
  3. Answer: $119.00

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.

CAMBRIDGE CAM-628.1 — Mapped statement covering Percentage of an Amount.NATIONAL-CURRICULUM NAT-692.2 — Mapped statement covering Percentage of an Amount.

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Frequently asked

Is this Grade 3 Percentage of an Amount 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 Decimals. 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 Percentage of an Amount?
Move on to Percentage Increase, Percentage Decrease, Reverse Percentages, Percentage Change, which build directly on this idea.

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