Percentage worksheets - DewWool - Free Printable
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Step-by-step solution for: Percentage worksheets - DewWool
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Show Answer Key & Explanations
Step-by-step solution for: Percentage worksheets - DewWool
Let's solve each part of the "Finding Percentages Sheet 3" step by step. The goal is to calculate various percentages of given numbers.
---
To find X% of a number, use the formula:
$$
\text{Percentage of a number} = \frac{X}{100} \times \text{Number}
$$
We'll apply this formula to all problems.
---
## ✔ A) Multiples of 1% and 10%
1) 3% of 600
$$
\frac{3}{100} \times 600 = 0.03 \times 600 = 18
$$
2) 20% of 160
$$
\frac{20}{100} \times 160 = 0.2 \times 160 = 32
$$
3) 8% of 1000
$$
\frac{8}{100} \times 1000 = 0.08 \times 1000 = 80
$$
4) 40% of 80
$$
\frac{40}{100} \times 80 = 0.4 \times 80 = 32
$$
5) 10% of 324
$$
\frac{10}{100} \times 324 = 0.1 \times 324 = 32.4
$$
6) 50% of 182
$$
\frac{50}{100} \times 182 = 0.5 \times 182 = 91
$$
7) 70% of 30
$$
\frac{70}{100} \times 30 = 0.7 \times 30 = 21
$$
8) 30% of 90
$$
\frac{30}{100} \times 90 = 0.3 \times 90 = 27
$$
9) 5% of 600
$$
\frac{5}{100} \times 600 = 0.05 \times 600 = 30
$$
10) 6% of 500
$$
\frac{6}{100} \times 500 = 0.06 \times 500 = 30
$$
11) 80% of 10
$$
\frac{80}{100} \times 10 = 0.8 \times 10 = 8
$$
12) 4% of 2000
$$
\frac{4}{100} \times 2000 = 0.04 \times 2000 = 80
$$
---
## ✔ B) Multiples of 5%
1) 15% of 80
$$
\frac{15}{100} \times 80 = 0.15 \times 80 = 12
$$
2) 25% of 60
$$
\frac{25}{100} \times 60 = 0.25 \times 60 = 15
$$
3) 45% of 100
$$
\frac{45}{100} \times 100 = 0.45 \times 100 = 45
$$
4) 75% of 40
$$
\frac{75}{100} \times 40 = 0.75 \times 40 = 30
$$
5) 35% of 200
$$
\frac{35}{100} \times 200 = 0.35 \times 200 = 70
$$
6) 25% of 20
$$
\frac{25}{100} \times 20 = 0.25 \times 20 = 5
$$
7) 95% of 500
$$
\frac{95}{100} \times 500 = 0.95 \times 500 = 475
$$
8) 65% of 60
$$
\frac{65}{100} \times 60 = 0.65 \times 60 = 39
$$
9) 15% of 300
$$
\frac{15}{100} \times 300 = 0.15 \times 300 = 45
$$
10) 85% of 1000
$$
\frac{85}{100} \times 1000 = 0.85 \times 1000 = 850
$$
11) 45% of 80
$$
\frac{45}{100} \times 80 = 0.45 \times 80 = 36
$$
12) 75% of 60
$$
\frac{75}{100} \times 60 = 0.75 \times 60 = 45
$$
---
## ✔ C) General Percentages
1) 12% of 50
$$
\frac{12}{100} \times 50 = 0.12 \times 50 = 6
$$
2) 34% of 200
$$
\frac{34}{100} \times 200 = 0.34 \times 200 = 68
$$
3) 61% of 100
$$
\frac{61}{100} \times 100 = 0.61 \times 100 = 61
$$
4) 24% of 10
$$
\frac{24}{100} \times 10 = 0.24 \times 10 = 2.4
$$
5) 43% of 200
$$
\frac{43}{100} \times 200 = 0.43 \times 200 = 86
$$
6) 84% of 200
$$
\frac{84}{100} \times 200 = 0.84 \times 200 = 168
$$
7) 52% of 50
$$
\frac{52}{100} \times 50 = 0.52 \times 50 = 26
$$
8) 14% of 300
$$
\frac{14}{100} \times 300 = 0.14 \times 300 = 42
$$
9) 38% of 50
$$
\frac{38}{100} \times 50 = 0.38 \times 50 = 19
$$
10) 95% of 200
$$
\frac{95}{100} \times 200 = 0.95 \times 200 = 190
$$
11) 22% of 50
$$
\frac{22}{100} \times 50 = 0.22 \times 50 = 11
$$
12) 99% of 1000
$$
\frac{99}{100} \times 1000 = 0.99 \times 1000 = 990
$$
13) 47% of 100
$$
\frac{47}{100} \times 100 = 0.47 \times 100 = 47
$$
14) 33% of 10
$$
\frac{33}{100} \times 10 = 0.33 \times 10 = 3.3
$$
15) 4% of 20
$$
\frac{4}{100} \times 20 = 0.04 \times 20 = 0.8
$$
---
#### A) Multiples of 1% and 10%
1) 18
2) 32
3) 80
4) 32
5) 32.4
6) 91
7) 21
8) 27
9) 30
10) 30
11) 8
12) 80
#### B) Multiples of 5%
1) 12
2) 15
3) 45
4) 30
5) 70
6) 5
7) 475
8) 39
9) 45
10) 850
11) 36
12) 45
#### C) General Percentages
1) 6
2) 68
3) 61
4) 2.4
5) 86
6) 168
7) 26
8) 42
9) 19
10) 190
11) 11
12) 990
13) 47
14) 3.3
15) 0.8
---
- 10% of a number: Divide by 10.
- 5%: Half of 10%.
- 1%: Divide by 100.
- For other percentages, break them down (e.g., 12% = 10% + 2%).
For example:
12% of 50 = 10% of 50 (5) + 2% of 50 (1) = 6.
This method helps avoid decimals when possible.
Let me know if you'd like a printable version or explanations with visual models!
---
🔹 Key Concept:
To find X% of a number, use the formula:
$$
\text{Percentage of a number} = \frac{X}{100} \times \text{Number}
$$
We'll apply this formula to all problems.
---
## ✔ A) Multiples of 1% and 10%
1) 3% of 600
$$
\frac{3}{100} \times 600 = 0.03 \times 600 = 18
$$
2) 20% of 160
$$
\frac{20}{100} \times 160 = 0.2 \times 160 = 32
$$
3) 8% of 1000
$$
\frac{8}{100} \times 1000 = 0.08 \times 1000 = 80
$$
4) 40% of 80
$$
\frac{40}{100} \times 80 = 0.4 \times 80 = 32
$$
5) 10% of 324
$$
\frac{10}{100} \times 324 = 0.1 \times 324 = 32.4
$$
6) 50% of 182
$$
\frac{50}{100} \times 182 = 0.5 \times 182 = 91
$$
7) 70% of 30
$$
\frac{70}{100} \times 30 = 0.7 \times 30 = 21
$$
8) 30% of 90
$$
\frac{30}{100} \times 90 = 0.3 \times 90 = 27
$$
9) 5% of 600
$$
\frac{5}{100} \times 600 = 0.05 \times 600 = 30
$$
10) 6% of 500
$$
\frac{6}{100} \times 500 = 0.06 \times 500 = 30
$$
11) 80% of 10
$$
\frac{80}{100} \times 10 = 0.8 \times 10 = 8
$$
12) 4% of 2000
$$
\frac{4}{100} \times 2000 = 0.04 \times 2000 = 80
$$
---
## ✔ B) Multiples of 5%
1) 15% of 80
$$
\frac{15}{100} \times 80 = 0.15 \times 80 = 12
$$
2) 25% of 60
$$
\frac{25}{100} \times 60 = 0.25 \times 60 = 15
$$
3) 45% of 100
$$
\frac{45}{100} \times 100 = 0.45 \times 100 = 45
$$
4) 75% of 40
$$
\frac{75}{100} \times 40 = 0.75 \times 40 = 30
$$
5) 35% of 200
$$
\frac{35}{100} \times 200 = 0.35 \times 200 = 70
$$
6) 25% of 20
$$
\frac{25}{100} \times 20 = 0.25 \times 20 = 5
$$
7) 95% of 500
$$
\frac{95}{100} \times 500 = 0.95 \times 500 = 475
$$
8) 65% of 60
$$
\frac{65}{100} \times 60 = 0.65 \times 60 = 39
$$
9) 15% of 300
$$
\frac{15}{100} \times 300 = 0.15 \times 300 = 45
$$
10) 85% of 1000
$$
\frac{85}{100} \times 1000 = 0.85 \times 1000 = 850
$$
11) 45% of 80
$$
\frac{45}{100} \times 80 = 0.45 \times 80 = 36
$$
12) 75% of 60
$$
\frac{75}{100} \times 60 = 0.75 \times 60 = 45
$$
---
## ✔ C) General Percentages
1) 12% of 50
$$
\frac{12}{100} \times 50 = 0.12 \times 50 = 6
$$
2) 34% of 200
$$
\frac{34}{100} \times 200 = 0.34 \times 200 = 68
$$
3) 61% of 100
$$
\frac{61}{100} \times 100 = 0.61 \times 100 = 61
$$
4) 24% of 10
$$
\frac{24}{100} \times 10 = 0.24 \times 10 = 2.4
$$
5) 43% of 200
$$
\frac{43}{100} \times 200 = 0.43 \times 200 = 86
$$
6) 84% of 200
$$
\frac{84}{100} \times 200 = 0.84 \times 200 = 168
$$
7) 52% of 50
$$
\frac{52}{100} \times 50 = 0.52 \times 50 = 26
$$
8) 14% of 300
$$
\frac{14}{100} \times 300 = 0.14 \times 300 = 42
$$
9) 38% of 50
$$
\frac{38}{100} \times 50 = 0.38 \times 50 = 19
$$
10) 95% of 200
$$
\frac{95}{100} \times 200 = 0.95 \times 200 = 190
$$
11) 22% of 50
$$
\frac{22}{100} \times 50 = 0.22 \times 50 = 11
$$
12) 99% of 1000
$$
\frac{99}{100} \times 1000 = 0.99 \times 1000 = 990
$$
13) 47% of 100
$$
\frac{47}{100} \times 100 = 0.47 \times 100 = 47
$$
14) 33% of 10
$$
\frac{33}{100} \times 10 = 0.33 \times 10 = 3.3
$$
15) 4% of 20
$$
\frac{4}{100} \times 20 = 0.04 \times 20 = 0.8
$$
---
✔ Final Answers Summary:
#### A) Multiples of 1% and 10%
1) 18
2) 32
3) 80
4) 32
5) 32.4
6) 91
7) 21
8) 27
9) 30
10) 30
11) 8
12) 80
#### B) Multiples of 5%
1) 12
2) 15
3) 45
4) 30
5) 70
6) 5
7) 475
8) 39
9) 45
10) 850
11) 36
12) 45
#### C) General Percentages
1) 6
2) 68
3) 61
4) 2.4
5) 86
6) 168
7) 26
8) 42
9) 19
10) 190
11) 11
12) 990
13) 47
14) 3.3
15) 0.8
---
📝 Tips for Solving Percentage Problems:
- 10% of a number: Divide by 10.
- 5%: Half of 10%.
- 1%: Divide by 100.
- For other percentages, break them down (e.g., 12% = 10% + 2%).
For example:
12% of 50 = 10% of 50 (5) + 2% of 50 (1) = 6.
This method helps avoid decimals when possible.
Let me know if you'd like a printable version or explanations with visual models!
Parent Tip: Review the logic above to help your child master the concept of percentage worksheets.