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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.)

  1. 10% × 220 = 22
  2. 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.)

  1. 15% × 87 = 13.05
  2. 87 + 13.05 = 100.05

Answer: 100.05

Increase an amount by a percentage

CCSS 7.RP.A.3England: KS3 NumberEngland: GCSE Foundation Ratio

Example

Increase 360 by 50%.

  1. 50% × 360 = 180
  2. 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%.

  1. 50% × 400 = 200
  2. 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?

  1. Increase = 32
  2. 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.)

  1. 20 × 0.9 = 18

Answer: 18

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.)

  1. 20% × 36 = 7.2

Answer: 7.2

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.)

  1. 20 × 0.2 = 4
  2. ≈ 4

Answer: 4

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.)

  1. 40% × 30 = 12
  2. 30 + 12 = 42

Answer: 42

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.)

  1. 3900 × 0.04 = 156
  2. 156 × 6 = 936

Answer: 936

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?

  1. |279 − 310| = 31
  2. 31 ÷ 310 × 100 = 10%

Answer: 10

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%?

  1. 112% = 1.12

Answer: 1.12

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7th grade Decimals and percentages: Practice and Worksheets