Free Grade 3 Introducing Reverse Percentages Lessons
Free Grade 3 lessons 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.
Free
Stretch
30 min
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.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find 75% of 160.[1]
- 2.Find 75% of 660.[1]
- 3.Find 10% of 580.[1]
- 4.Find 10% of 320.[1]
- 5.Find 35% of 120.[2]
- 6.Find 20% of 560.[2]
- 7.Find 15% of 500.[2]
- 8.Find 12.5% of 400.[2]
- 9.Decrease $60.00 by 30%.[3]
- 10.Decrease $140.00 by 5%.[3]
- 11.Increase $420.00 by 60%.[3]
- 12.Decrease $100.00 by 12.5%.[3]
Show answers and working
1. 120
1% of 160 = 1.6. 75% = 1.6 × 75 = 120.
2. 495
1% of 660 = 6.6. 75% = 6.6 × 75 = 495.
3. 58
1% of 580 = 5.8. 10% = 5.8 × 10 = 58.
4. 32
1% of 320 = 3.2. 10% = 3.2 × 10 = 32.
5. 42
1% of 120 = 1.2. 35% = 1.2 × 35 = 42.
6. 112
1% of 560 = 5.6. 20% = 5.6 × 20 = 112.
7. 75
1% of 500 = 5. 15% = 5 × 15 = 75.
8. 50
1% of 400 = 4. 12.5% = 4 × 12.5 = 50.
9. $42.00
Multiplier: 1 − 0.3 = 0.7. 60 × 0.7 = 42.
10. $133.00
Multiplier: 1 − 0.05 = 0.95. 140 × 0.95 = 133.
11. $672.00
Multiplier: 1 + 0.6 = 1.6. 420 × 1.6 = 672.
12. $87.50
Multiplier: 1 − 0.125 = 0.875. 100 × 0.875 = 87.5.
Worked examples
Find 25% of 340.
- 1% of 340 = 3.4.
- 25% = 3.4 × 25 = 85.
- Answer: 85
Find 40% of 120.
- 1% of 120 = 1.2.
- 40% = 1.2 × 40 = 48.
- Answer: 48
Increase $340.00 by 5%.
- Multiplier: 1 + 0.05 = 1.05.
- 340 × 1.05 = 357.
- Answer: $357.00
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.
Every free resource for Introducing Reverse Percentages
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Frequently asked
- Is this Grade 3 Introducing Reverse Percentages 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 Decrease. 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 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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