1. One Number as a Percentage of Another
DO NOW: Complete the table
Fraction
Decimal
Percentage
0.25
60%
0.85 ⅓
100%
0.24 ⅞
150%
0.07

2. One Number as a Percentage of Another
DO NOW: Complete the table
Fraction
Decimal
Percentage
1/4
0.25
25%
0.75
75%
6/10 or 3/5
0.6
60%
85/100 or 17/20
0.85
85% ⅓
0.333……
33⅓
1/1
1.0
100%
24/100 or 6/25
0.24
24% ⅞
87.5
87.5%
3/2
1.5
150%
7/100
0.07 7%

3. Recapping: Equivalences between fractions, decimals and percentages.
Match the equivalent values.
ANS
40% − 1 4
27%
0.85 −58%
16 100
3 5 −0.35
3 20
56% −
0.25

4. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Factors of 100
Non-calculator method Calculator method
Express 5cm as a percentage of 20cm Express 1m as a percentage of 8m.

5. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 120 cm of 2 m b) 525 m of 3 km
c) 25 seconds of a minute d) 4 days of a week
e) In a local election there were 5600 registered voters.
Of these 3450 voted.
What was the percentage that voted?
f) Pauline got 16 out of 25 for an assignment and Rose got 13 out of 20.
Which girl got the higher percentage?
ANS
ANS
ANS
ANS
ANS
ANS

6. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 140 g of 1 kg b) 2 mm of 1 cm
c) 75 p of £ d) 4 days of 2 weeks
e) Dominic puts £350 into a savings account.
After one year he receives £9.20 in interest.
What was the rate of interest paid on his savings?
f) When Tabatha started to diet she weighed 52 kg. She now weighs 49.5 kg. What percentage of her original weight does she now weigh?
ANS
ANS
ANS
ANS
ANS
ANS

7. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
3 m of wood is bought to make the picture frame illustrated.
Do not use a calculator.
What percentage of the wood is used?
ANS

8. Recapping: Equivalences between fractions, decimals and percentages.
Match the equivalent values.
40% − 1 4
27%
0.85 −58%
16 100
3 5 −0.35
3 20
56% −
0.25
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9. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 120 cm of 2 m b) 525 m of 3 km
60%
c) 25 seconds of a minute d) 4 days of a week
e) In a local election there were 5600 registered voters.
Of these 3450 voted.
What was the percentage that voted?
f) Pauline got 16 out of 25 for an assignment and Rose got 13 out of 20.
Which girl got the higher percentage?
Go Back

10. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 120 cm of 2 m b) 525 m of 3 km
60% %
c) 25 seconds of a minute d) 4 days of a week
e) In a local election there were 5600 registered voters.
Of these 3450 voted.
What was the percentage that voted?
f) Pauline got 16 out of 25 for an assignment and Rose got 13 out of 20.
Which girl got the higher percentage?
Go Back

11. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 120 cm of 2 m b) 525 m of 3 km
60% %
c) 25 seconds of a minute d) 4 days of a week
41.67%
e) In a local election there were 5600 registered voters.
Of these 3450 voted.
What was the percentage that voted?
f) Pauline got 16 out of 25 for an assignment and Rose got 13 out of 20.
Which girl got the higher percentage?
Go Back

12. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 120 cm of 2 m b) 525 m of 3 km
60% %
c) 25 seconds of a minute d) 4 days of a week
41.67% %
e) In a local election there were 5600 registered voters.
Of these 3450 voted.
What was the percentage that voted?
f) Pauline got 16 out of 25 for an assignment and Rose got 13 out of 20.
Which girl got the higher percentage?
Go Back

13. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 120 cm of 2 m b) 525 m of 3 km
60% %
c) 25 seconds of a minute d) 4 days of a week
41.67% %
e) In a local election there were 5600 registered voters.
Of these 3450 voted.
What was the percentage that voted? %
f) Pauline got 16 out of 25 for an assignment and Rose got 13 out of 20.
Which girl got the higher percentage?
Go Back

14. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 120 cm of 2 m b) 525 m of 3 km
60% %
c) 25 seconds of a minute d) 4 days of a week
41.67% %
e) In a local election there were 5600 registered voters.
Of these 3450 voted.
What was the percentage that voted? %
f) Pauline got 16 out of 25 for an assignment and Rose got 13 out of 20.
Pauline 64%, Rose 65%
Go Back

15. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 140 g of 1 kg b) 2 mm of 1 cm
14%
c) 75 p of £1.20 d) 4 days of 2 weeks
e) Dominic puts £350 into a savings account.
After one year he receives £9.20 in interest.
What was the rate of interest paid on his savings?
f) When Tabatha started to diet she weighed 52 kg. She now weighs 49.5 kg.
What percentage of her original weight does she now weigh?
Go Back

16. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 140 g of 1 kg b) 2 mm of 1 cm
14% 20%
c) 75 p of £1.20 d) 4 days of 2 weeks
e) Dominic puts £350 into a savings account.
After one year he receives £9.20 in interest.
What was the rate of interest paid on his savings?
f) When Tabatha started to diet she weighed 52 kg. She now weighs 49.5 kg.
What percentage of her original weight does she now weigh?
Go Back

17. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 140 g of 1 kg b) 2 mm of 1 cm
14% 20%
c) 75 p of £1.20 d) 4 days of 2 weeks
62.5%
e) Dominic puts £350 into a savings account.
After one year he receives £9.20 in interest.
What was the rate of interest paid on his savings?
f) When Tabatha started to diet she weighed 52 kg. She now weighs 49.5 kg.
What percentage of her original weight does she now weigh?
Go Back

18. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 140 g of 1 kg b) 2 mm of 1 cm
14% 20%
c) 75 p of £1.20 d) 4 days of 2 weeks
62.5% %
e) Dominic puts £350 into a savings account.
After one year he receives £9.20 in interest.
What was the rate of interest paid on his savings?
f) When Tabatha started to diet she weighed 52 kg. She now weighs 49.5 kg.
What percentage of her original weight does she now weigh?
Go Back

19. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 140 g of 1 kg b) 2 mm of 1 cm
14% 20%
c) 75 p of £1.20 d) 4 days of 2 weeks
62.5% %
e) Dominic puts £350 into a savings account.
After one year he receives £9.20 in interest.
What was the rate of interest paid on his savings? 2.6%
f) When Tabatha started to diet she weighed 52 kg. She now weighs 49.5 kg.
What percentage of her original weight does she now weigh?
Go Back

20. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
Express the first amount as a percentage of the second.
a) 140 g of 1 kg b) 2 mm of 1 cm
14% 20%
c) 75 p of £1.20 d) 4 days of 2 weeks
62.5% %
e) Dominic puts £350 into a savings account.
After one year he receives £9.20 in interest.
What was the rate of interest paid on his savings? 2.6%
f) When Tabatha started to diet she weighed 52 kg. She now weighs 49.5 kg. 95.2%
What percentage of her original weight does she now weigh?
Go Back

21. One Number as a Percentage of Another
Learning Objective: Define percentage as ‘number of parts per hundred and express one quantity as a percentage of another
3 m of wood is bought to make the picture frame illustrated.
Do not use a calculator.
What percentage of the wood is used? 90%
Go Back