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Free Grade 3 Reverse Percentages Worksheets

Free Grade 3 worksheets for 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

Core

Estimated time

35 min

Total marks

24

Learning objectives

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

  • UnderstandExplain reverse percentages

    Explain reverse percentages accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate reverse percentages

    Calculate reverse percentages accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare reverse percentages

    Compare reverse percentages accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify reverse percentages

    Justify 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 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 25% of 280.[1]
  2. 2.Find 25% of 560.[1]
  3. 3.Find 10% of 540.[1]
  4. 4.Find 75% of 440.[1]
  5. 5.Find 40% of 180.[2]
  6. 6.Find 15% of 540.[2]
  7. 7.Find 35% of 620.[2]
  8. 8.Find 30% of 320.[2]
  9. 9.Decrease $60.00 by 40%.[3]
  10. 10.Increase $280.00 by 30%.[3]
  11. 11.Increase $140.00 by 20%.[3]
  12. 12.Increase $340.00 by 30%.[3]
Show answers and working
  1. 1. 70

    1% of 280 = 2.8. 25% = 2.8 × 25 = 70.

  2. 2. 140

    1% of 560 = 5.6. 25% = 5.6 × 25 = 140.

  3. 3. 54

    1% of 540 = 5.4. 10% = 5.4 × 10 = 54.

  4. 4. 330

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

  5. 5. 72

    1% of 180 = 1.8. 40% = 1.8 × 40 = 72.

  6. 6. 81

    1% of 540 = 5.4. 15% = 5.4 × 15 = 81.

  7. 7. 217

    1% of 620 = 6.2. 35% = 6.2 × 35 = 217.

  8. 8. 96

    1% of 320 = 3.2. 30% = 3.2 × 30 = 96.

  9. 9. $36.00

    Multiplier: 1 − 0.4 = 0.6. 60 × 0.6 = 36.

  10. 10. $364.00

    Multiplier: 1 + 0.3 = 1.3. 280 × 1.3 = 364.

  11. 11. $168.00

    Multiplier: 1 + 0.2 = 1.2. 140 × 1.2 = 168.

  12. 12. $442.00

    Multiplier: 1 + 0.3 = 1.3. 340 × 1.3 = 442.

Worked examples

Easy example

Find 75% of 680.

  1. 1% of 680 = 6.8.
  2. 75% = 6.8 × 75 = 510.
  3. Answer: 510
Medium example

Find 60% of 640.

  1. 1% of 640 = 6.4.
  2. 60% = 6.4 × 60 = 384.
  3. Answer: 384
Hard example

Decrease $240.00 by 20%.

  1. Multiplier: 1 − 0.2 = 0.8.
  2. 240 × 0.8 = 192.
  3. Answer: $192.00

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.

OCR OCR-625.1 — Mapped statement covering Reverse Percentages.CAMBRIDGE CAM-991.2 — Mapped statement covering Reverse Percentages.

Every free resource for Reverse Percentages

One concept, one ecosystem — all of it free.

Goes deeper

The entities below this one, each with the same complete free resource set.

Sibling concepts

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Frequently asked

Is this Grade 3 Reverse Percentages worksheet really free?
Yes. Every worksheets 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, Percentage Increase, Decimals. Each one has its own free lesson, worksheet and quiz.
How is the worksheet 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 Reverse Percentages?
Move on to Percentage Change, Simple Interest, Compound Interest, Whole Numbers, which build directly on this idea.

Related resources

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