Year 8 in England
7th grade decimals and percentages
12 7th 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.
Percentage increase and decrease
CCSS 7.RP.A.3England: KS3 NumberEngland: GCSE Foundation Ratio
Example
A bike costs $220. In a sale it is 10% off. What is the sale price? (Type the number only.)
- 10% × 220 = 22
- 220 − 22 = 198
Answer: 198
Tax, tips and simple interest
CCSS 7.RP.A.3CCSS 7.EE.B.3England: KS3 NumberEngland: GCSE Foundation Ratio
Example
A restaurant bill is $87. The family adds a 15% tip. What is the total paid? (Type the number only.)
- 15% × 87 = 13.05
- 87 + 13.05 = 100.05
Answer: 100.05
Builds on: Percentage increase and decrease
Increase an amount by a percentage
CCSS 7.RP.A.3England: KS3 NumberEngland: GCSE Foundation Ratio
Example
Increase 360 by 50%.
- 50% × 360 = 180
- 360 + 180 = 540
Answer: 540
Decrease an amount by a percentage
CCSS 7.RP.A.3England: KS3 NumberEngland: GCSE Foundation Ratio
Example
Decrease 400 by 50%.
- 50% × 400 = 200
- 400 − 200 = 200
Answer: 200
Find the percentage change
CCSS 7.RP.A.3England: KS3 NumberEngland: GCSE Foundation Ratio
Example
A club's membership rose from 160 to 192. What is the percentage increase?
- Increase = 32
- 32 ÷ 160 × 100 = 20%
Answer: 20
Sale prices and discounts
CCSS 7.RP.A.3England: KS3 NumberEngland: GCSE Foundation Ratio
Example
A pair of trainers costs $20. It is 10% off. What is the sale price? (Type the number only.)
- 20 × 0.9 = 18
Answer: 18
Builds on: Decrease an amount by a percentage
Sales tax and VAT
CCSS 7.RP.A.3England: KS3 NumberEngland: GCSE Foundation Ratio
Example
A sales tax of 20% is added to a $36 item. How much is the tax? (Type the number only.)
- 20% × 36 = 7.2
Answer: 7.2
Builds on: Percentage of an amount
Tips and service charges
CCSS 7.RP.A.3England: KS3 Number
Example
A meal costs $20. The family leaves a 20% tip. How much is the tip? Round to the nearest cent. (Type the number only.)
- 20 × 0.2 = 4
- ≈ 4
Answer: 4
Builds on: Percentage of an amount
Markup, profit and commission
CCSS 7.RP.A.3England: KS3 NumberEngland: GCSE Foundation Ratio
Example
A shop buys a T-shirt for $30 and marks it up by 40%. What is the selling price? (Type the number only.)
- 40% × 30 = 12
- 30 + 12 = 42
Answer: 42
Builds on: Increase an amount by a percentage
Simple interest: interest, total, rate and time
CCSS 7.RP.A.3England: KS3 NumberEngland: GCSE Foundation Ratio
Example
$3900 is saved at 4% simple interest per year. How much interest is earned in 6 years? (Type the number only.)
- 3900 × 0.04 = 156
- 156 × 6 = 936
Answer: 936
Builds on: Percentage of an amount
Percent error of an estimate or measurement
CCSS 7.RP.A.3England: KS3 Number
Example
Maya estimated there were 279 people at a concert. There were actually 310. What is the percent error?
- |279 − 310| = 31
- 31 ÷ 310 × 100 = 10%
Answer: 10
Builds on: Find the percentage change
Use decimal multipliers for percentage change
CCSS 7.RP.A.3CCSS 7.EE.A.2England: KS3 NumberEngland: GCSE Foundation Ratio
Example
What single number do you multiply by to increase an amount by 12%?
- 112% = 1.12
Answer: 1.12
Keep exploring
7th grade topic pages
More for 7th 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
- Math by topicFractions, times tables, long division and more
- 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.
