Success TutoringWorksheets
Download Free PDF
Study GuideYear 6Level 2 · Standard

Free Year 6 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.

Download Free PDF

Instant download · No sign-up · Free for personal, classroom and homeschool use

Year
Year 6
Subject
Mathematics
Topic
Percentages
Difficulty
Level 2 · Standard
Estimated time
20 minutes
Curriculum
Australian Curriculum
Answers
Not applicable
Format
PDF (A4) + print

Students will practise

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

Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Percentages Explained

  1. 1Year 6 Fractions, Decimals and Percentages Worksheet — Level 1
  2. 2Year 6 Fractions, Decimals and Percentages Worksheet — Level 2
  3. 3Year 6 Percentage of an Amount Worksheet — Level 1
  4. 4Year 6 Percentage of an Amount Worksheet — Level 1 (Set 2)
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 practise with a worksheet from the pathway above and finish with the topic test.

Common questions

Who is this study guide for?

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

Preview

Year 6 · Mathematics · Percentages

Percentages Explained

Success Tutoring

Student name:

Date:

What you need to know

Per cent 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)

worksheets.successtutoring.com · Free to print and share for personal and classroom use

Preview — the PDF contains the full resource.

More Year 6 percentages resources

  • Worksheet

    Year 6 Fractions, Decimals and Percentages Worksheet — Level 1

    Convert between fractions, decimals and percentages. Builds confidence with the core skill before adding complexity. This Year 6 worksheet…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    15 questions
    Answers
    Answers included
  • Worksheet

    Year 6 Fractions, Decimals and Percentages Worksheet — Level 2

    Convert between fractions, decimals and percentages. Expected-level practice for this year group. This Year 6 worksheet has 15 questions…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    15 questions
    Answers
    Answers included
  • Worksheet

    Year 6 Percentage of an Amount Worksheet — Level 1

    Find percentages of quantities, including discounts and increases. Builds confidence with the core skill before adding complexity. This…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 6 Percentage of an Amount Worksheet — Level 1 (Set 2)

    Find percentages of quantities, including discounts and increases. Builds confidence with the core skill before adding complexity. This…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Topic Test

    Year 6 Percentages Topic Test

    Converting between fractions, decimals and percentages, and finding percentages of amounts, in a 30-minute Year 6 test with marks and a…

    Difficulty
    Level 2 · Standard
    Time
    30 min
    Questions
    18 questions
    Answers
    Answers included

Percentages in other year levels

Was this resource helpful?

About this resource

Created by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Written by our team

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.