Grade 6 Percentage Worksheets | Free Printables | Worksheets ... - Free Printable

Problem Description:

The task is to calculate the percentage of a given number for each problem listed in the worksheet. The problems are divided into two columns, and students are encouraged to solve the first column without a calculator.

Solution Approach:

To find the percentage of a number, we use the formula:
\[
\text{Percentage of a Number} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Number}
\]

We will solve each problem step by step using this formula.

---

Column 1: Problems 1–10

#### 1. 15% of 80
\[
\text{15% of 80} = \left( \frac{15}{100} \right) \times 80 = 0.15 \times 80 = 12
\]

#### 2. 25% of 40
\[
\text{25% of 40} = \left( \frac{25}{100} \right) \times 40 = 0.25 \times 40 = 10
\]

#### 3. 30% of 90
\[
\text{30% of 90} = \left( \frac{30}{100} \right) \times 90 = 0.30 \times 90 = 27
\]

#### 4. 40% of 75
\[
\text{40% of 75} = \left( \frac{40}{100} \right) \times 75 = 0.40 \times 75 = 30
\]

#### 5. 20% of 150
\[
\text{20% of 150} = \left( \frac{20}{100} \right) \times 150 = 0.20 \times 150 = 30
\]

#### 6. 35% of 10
\[
\text{35% of 10} = \left( \frac{35}{100} \right) \times 10 = 0.35 \times 10 = 3.5
\]

#### 7. 60% of 60
\[
\text{60% of 60} = \left( \frac{60}{100} \right) \times 60 = 0.60 \times 60 = 36
\]

#### 8. 25% of 60
\[
\text{25% of 60} = \left( \frac{25}{100} \right) \times 60 = 0.25 \times 60 = 15
\]

#### 9. 10% of 33
\[
\text{10% of 33} = \left( \frac{10}{100} \right) \times 33 = 0.10 \times 33 = 3.3
\]

#### 10. 90% of 200
\[
\text{90% of 200} = \left( \frac{90}{100} \right) \times 200 = 0.90 \times 200 = 180
\]

---

Column 2: Problems 11–20

#### 11. 85% of 108
\[
\text{85% of 108} = \left( \frac{85}{100} \right) \times 108 = 0.85 \times 108 = 91.8
\]

#### 12. 40% of 88
\[
\text{40% of 88} = \left( \frac{40}{100} \right) \times 88 = 0.40 \times 88 = 35.2
\]

#### 13. 15% of 68
\[
\text{15% of 68} = \left( \frac{15}{100} \right) \times 68 = 0.15 \times 68 = 10.2
\]

#### 14. 55% of 28
\[
\text{55% of 28} = \left( \frac{55}{100} \right) \times 28 = 0.55 \times 28 = 15.4
\]

#### 15. 30% of 480
\[
\text{30% of 480} = \left( \frac{30}{100} \right) \times 480 = 0.30 \times 480 = 144
\]

#### 16. 27% of 235
\[
\text{27% of 235} = \left( \frac{27}{100} \right) \times 235 = 0.27 \times 235 = 63.45
\]

#### 17. 44% of 97
\[
\text{44% of 97} = \left( \frac{44}{100} \right) \times 97 = 0.44 \times 97 = 42.68
\]

#### 18. 62% of 82
\[
\text{62% of 82} = \left( \frac{62}{100} \right) \times 82 = 0.62 \times 82 = 51.04
\]

#### 19. 47% of 67
\[
\text{47% of 67} = \left( \frac{47}{100} \right) \times 67 = 0.47 \times 67 = 31.49
\]

#### 20. 82% of 124
\[
\text{82% of 124} = \left( \frac{82}{100} \right) \times 124 = 0.82 \times 124 = 101.68
\]

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 12 \\
2. & 10 \\
3. & 27 \\
4. & 30 \\
5. & 30 \\
6. & 3.5 \\
7. & 36 \\
8. & 15 \\
9. & 3.3 \\
10. & 180 \\
11. & 91.8 \\
12. & 35.2 \\
13. & 10.2 \\
14. & 15.4 \\
15. & 144 \\
16. & 63.45 \\
17. & 42.68 \\
18. & 51.04 \\
19. & 31.49 \\
20. & 101.68 \\
\end{array}
}
\]