# Percentage Change

In this worksheet, students work out percentage changes.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Define, Interpret and Compare Percentages

Difficulty level:

### QUESTION 1 of 10

This worksheet is about finding the percentage change.

Example 1

A metal bar increases its length from 2m to 2.01m after heating.

Find the percentage increase in its length.

Actual increase = 2.01 - 2 = 0.01m .

Percentage increase =
 actual increase original length
×100
=
 0.01 2
×100 = 0.5%

Example 2

A woman reduced her weight from 80kg to 63kg after dieting.

Find the percentage decrease in her weight.

Actual decrease = 80 - 63 = 17kg.

Percentage decrease =
 actual decrease original weight
×100
=
 17 80
×100 = 21.25%
Find the percentage increase from 100 to 113.

(Just write the number)

Find the percentage increase from 110 to 132.
Find the percentage increase from 138 to 158.7.
Find the percentage increase from 48 to 56.

Find the percentage decrease from 100 to 85.
Find the percentage decrease from 125 to 100.
Find the percentage decrease from 350 to 210.
Find the percentage decrease from 120 to 60.
Find the percentage increase from 60 to 120.
Find the percentage increase from 60 to 180.
• Question 1
Find the percentage increase from 100 to 113.

(Just write the number)

13
EDDIE SAYS
Percentage Change = (Change / Original) x 100 (13/100) x 100
• Question 2
Find the percentage increase from 110 to 132.
20
EDDIE SAYS
Percentage Change = (Change / Original) x 100 (32/100) x 100
• Question 3
Find the percentage increase from 138 to 158.7.
15
EDDIE SAYS
Percentage Change = (Change / Original) x 100 (20.7/138) x 100
• Question 4
Find the percentage increase from 48 to 56.

16.7
EDDIE SAYS
Percentage Change = (Change / Original) x 100 (8/48) x 100
• Question 5
Find the percentage decrease from 100 to 85.
15
EDDIE SAYS
Percentage Change = (Change / Original) x 100 (15/100) x 100
• Question 6
Find the percentage decrease from 125 to 100.
20
EDDIE SAYS
Percentage Change = (Change / Original) x 100 (25/125) x 100
• Question 7
Find the percentage decrease from 350 to 210.
40
EDDIE SAYS
Percentage Change = (Change / Original) x 100 (140/350) x 100
• Question 8
Find the percentage decrease from 120 to 60.
50
EDDIE SAYS
Percentage Change = (Change / Original) x 100 (60/120) x 100
• Question 9
Find the percentage increase from 60 to 120.
100
EDDIE SAYS
Percentage Change = (Change / Original) x 100 (60/60) x 100
• Question 10
Find the percentage increase from 60 to 180.
200
EDDIE SAYS
Percentage Change = (Change / Original) x 100 (120/60) x 100
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