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Study Guide6th GradeLevel 2 · Standard

Free 6th Grade Percentages Explained

Shows what a percentage really is, how to convert between fractions, decimals and percentages, and the mental "10% method" for finding a percentage of an amount. Includes discount examples and a self-check with answers.

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Grade
6th Grade
Subject
Math
Topic
Percentages
Difficulty
Level 2 · Standard
Estimated time
20 minutes
Curriculum
Texas grade levels (TEKS)
Answers
Not applicable
Format
PDF (A4) + print

Students will practice

  • understanding percent as "out of 100"
  • converting between fractions, decimals and percentages
  • finding a percentage of an amount using 10% and 1%
  • calculating a discount

Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Percentages Explained

  1. 16th Grade Fractions, Decimals and Percentages Worksheet — Level 1
  2. 26th Grade Fractions, Decimals and Percentages Worksheet — Level 2
  3. 36th Grade Fractions, Decimals and Percentages Worksheet — Level 3
  4. 46th Grade Percentage of an Amount Worksheet — Level 1
Topic testStudy guide

How to use this study guide

  1. Read it together first, pausing at each worked example to try the step before reading the answer.
  2. Attempt the "Check yourself" questions at the end without looking back.
  3. Then practice with a worksheet from the pathway above and finish with the topic test.

Common questions

Who is this study guide for?

6th Grade students (typically ages 11–12) working on percentages. It is pitched at level 2 · standard.

Are the answers included?

This is a study guide, so there is no separate answer sheet; the 'Check yourself' questions include answers.

How long does it take?

About 20 minutes. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try 6th Grade Fractions, Decimals and Percentages Worksheet — Level 1, then check understanding with the 6th Grade Percentages Topic Test.

Preview

Success TutoringWorksheets6th Grade · Mathematics · Percentages

Percentages Explained

What you need to know

Percent means "out of 100". So 45% is 45 out of every 100, which is the fraction and the decimal 0.45. Percentages are useful because they make it easy to compare amounts: 45% of a small class and 45% of a big school are the same share, even though the numbers are different. 100% means the whole amount.

FractionDecimalPercentage
0.550%
0.2525%
0.7575%
0.110%
0.220%
0.011%
11.0100%

Converting

  • Fraction → percentage: make the denominator 100. = = 60%.
  • Decimal → percentage: multiply by 100 (move the digits two places left). 0.35 = 35%.
  • Percentage → decimal: divide by 100 (move the digits two places right). 8% = 0.08.
  • Percentage → fraction: write it over 100 and simplify. 40% = = .
Common mistake: writing 8% as 0.8. Remember 8% is only 8 hundredths, so it is 0.08. (0.8 would be 80%.)

Finding a percentage of an amount. You do not need a calculator for most percentages. Start with an easy percentage and build up: 10% is the amount divided by 10, 1% is the amount divided by 100, 50% is half and 25% is a quarter.

Three mental methods: 30% of 80, 15% of 60, 12% of 250

  1. 30% of 80: 10% of 80 = 8, and 30% is three lots of 10%, so 3 × 8 = 24.
  2. 15% of 60: 10% of 60 = 6, and 5% is half of that, 3. So 15% = 6 + 3 = 9.
  3. 12% of 250: 1% of 250 = 250 ÷ 100 = 2.5, so 12% = 12 × 2.5 = 30.

A $40 jacket is 25% off. What do you pay?

  1. 25% is a quarter. 40 ÷ 4 = 10, so the discount is $10.
  2. Take the discount off the price: 40 − 10 = 30.
  3. You pay $30.
Read the question carefully: "How much is the discount?" and "What is the new price?" have different answers. In the jacket example the discount is $10 but the price is $30.

Check yourself

  1. Write 0.6 as a percentage.
  2. Write as a percentage.
  3. 20% of 45 = ?
  4. 75% of 120 = ?
  5. 35% of 200 = ?
  6. A $50 game is 30% off. What is the new price?

Answers: 1. 60% 2. 35% ( = ) 3. 9 4. 90 5. 70 6. $35 (the discount is $15)

Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource.

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Created by
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Last reviewed
1 October 2026
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