Year 7 in England
6th grade decimals and percentages
13 6th grade decimals and percentages skills, each with a worked example, free practice that checks every answer, and a printable worksheet. Start with a mixed review, or jump to the skill you need.
Mixed review
Ten questions drawn from every skill below.
Percentages, fractions and decimals
CCSS 6.RP.A.3.CEngland: Y6 Ratio and proportionEngland: Y6 Fractions (including decimals and percentages)England: KS3 Number
Example
Write 30% as a fraction in simplest form.
- 30% = 30/100
- = 3/10
Answer: 3/10
Percentage of an amount
CCSS 6.RP.A.3.CEngland: Y6 Ratio and proportionEngland: KS3 NumberEngland: GCSE Foundation Ratio
Example
What is 5% of 260?
- 5/100 × 260 = 13
Answer: 13
Add and subtract multi-digit decimals
CCSS 6.NS.B.3England: KS3 Number
Example
Work out 205.04 + 4.093.
- 205.04 + 4.093 = 209.133
Answer: 209.133
Builds on: Add and subtract decimals
Multiply multi-digit decimals
CCSS 6.NS.B.3England: KS3 Number
Example
Work out 2.9 × 5.6.
- 29 × 56 = 1624
- 2 decimal places: 16.24
Answer: 16.24
Builds on: Multiply decimals
Divide by a decimal
CCSS 6.NS.B.3England: KS3 Number
Example
Work out 15.3 ÷ 0.3.
- 153 ÷ 3 = 51
Answer: 51
Builds on: Divide decimals, Long division fluently
Long division with a decimal answer
CCSS 6.NS.B.2CCSS 6.NS.B.3England: KS3 Number
Example
Work out 131 ÷ 2. Give the exact decimal answer.
- 131 ÷ 2 = 65 remainder 1
- 1 ÷ 2 = 0.5
- 131 ÷ 2 = 65.5
Answer: 65.5
Builds on: Long division fluently
Read percentages from bar and circle models
CCSS 6.RP.A.3.CEngland: Y6 FractionsEngland: KS3 Number
Builds on: Percentages, fractions and decimals
Change fractions and decimals into percentages
CCSS 6.RP.A.3.CEngland: KS3 NumberEngland: GCSE Foundation Number
Example
Write 3/4 as a percentage.
- 3/4 = 75/100 = 75%
Answer: 75
Change percentages into fractions and decimals
CCSS 6.RP.A.3.CEngland: KS3 NumberEngland: GCSE Foundation Number
Example
Write 96% as a fraction in simplest form.
- 96/100 = 24/25
Answer: 24/25
Builds on: Percentages, fractions and decimals
Find 50%, 25%, 10%, 5% and 1% mentally
CCSS 6.RP.A.3.CEngland: KS3 NumberEngland: GCSE Foundation Number
Example
Find 50% of 300 in your head.
- 50% of 300 = 150
Answer: 150
Builds on: Percentage of an amount
Express one amount as a percentage of another
CCSS 6.RP.A.3.CEngland: KS3 NumberEngland: GCSE Foundation Ratio
Example
What percentage of 50 is 17?
- 17/50 × 100 = 34%
Answer: 34
Find the whole when you know a percentage of it
CCSS 6.RP.A.3.CEngland: KS3 NumberEngland: GCSE Foundation Ratio
Example
40% of a number is 80. What is the number?
- 100 ÷ 40 = 2.5
- 80 × 2.5 = 200
Answer: 200
Builds on: Find 50%, 25%, 10%, 5% and 1% mentally
Compare and order fractions, decimals and percentages
CCSS 6.RP.A.3.CCCSS 7.NS.A.2.DEngland: KS3 NumberEngland: GCSE Foundation Number
Example
Which is the largest?
- 0.6 = 60%, 20% = 20%, 9/20 = 45%, 0.9 = 90%
- Largest: 0.9
Answer: 0.9
Keep exploring
6th grade topic pages
More for 6th grade
Hands-on math tools
- Virtual fraction bars and fraction circles
- Interactive number line
- Virtual base ten blocks
- Multiplication arrays
- Interactive teaching clock
- Virtual money for counting practice
- Interactive coordinate plane
- Algebra balance scale
- Adding fractions with a model
- Virtual algebra tiles
- Alphabetical order game
- Virtual protractor and angle maker
- Area and perimeter builder
- Bar graph maker for kids
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- English and grammarNouns, verbs, commas, spelling and more
- Reading passagesShort stories with read-aloud and questions
- Science by gradePlants, forces, matter, space and more
- Printable worksheetsPrint, or do them on a tablet with a finger or pen
- Free math games3D games where every move is a math question
- Manipulatives and simulationsMath tools plus science sims: cells, atoms, forces, planets
- Fraction calculatorEvery step shown, from mixed numbers to simplest form
- Math 5-a-dayFive fresh warm-up questions every day
- Guides for parentsHow to help with fractions, tables, tests and more
Math, English and science that click.