Let's solve each problem step by step. The goal is to find the
percentage of a number.
🔹 Formula:
To find
P% of a number N, use:
$$
\text{Answer} = \frac{P}{100} \times N
$$
We'll solve all 20 problems, showing reasoning for each.
---
✔ First Column (Try without calculator)
1.
15% of 80
$$
\frac{15}{100} \times 80 = 0.15 \times 80 = 12
$$
✔ 12
2.
25% of 40
$$
\frac{25}{100} \times 40 = 0.25 \times 40 = 10
$$
✔ 10
3.
30% of 90
$$
\frac{30}{100} \times 90 = 0.3 \times 90 = 27
$$
✔ 27
4.
40% of 75
$$
\frac{40}{100} \times 75 = 0.4 \times 75 = 30
$$
✔ 30
5.
20% of 150
$$
\frac{20}{100} \times 150 = 0.2 \times 150 = 30
$$
✔ 30
6.
35% of 10
$$
\frac{35}{100} \times 10 = 0.35 \times 10 = 3.5
$$
✔ 3.5
7.
60% of 60
$$
\frac{60}{100} \times 60 = 0.6 \times 60 = 36
$$
✔ 36
8.
25% of 60
$$
\frac{25}{100} \times 60 = 0.25 \times 60 = 15
$$
✔ 15
9.
10% of 33
$$
\frac{10}{100} \times 33 = 0.1 \times 33 = 3.3
$$
✔ 3.3
10.
90% of 200
$$
\frac{90}{100} \times 200 = 0.9 \times 200 = 180
$$
✔ 180
---
✔ Second Column
11.
85% of 108
$$
\frac{85}{100} \times 108 = 0.85 \times 108 = 91.8
$$
✔ 91.8
12.
40% of 88
$$
0.4 \times 88 = 35.2
$$
✔ 35.2
13.
15% of 68
$$
0.15 \times 68 = 10.2
$$
✔ 10.2
14.
55% of 28
$$
0.55 \times 28 = 15.4
$$
✔ 15.4
15.
30% of 480
$$
0.3 \times 480 = 144
$$
✔ 144
16.
27% of 235
$$
0.27 \times 235 = ?
$$
Break it down:
$$
0.27 \times 235 = (0.2 \times 235) + (0.07 \times 235)
$$
$$
= 47 + 16.45 = 63.45
$$
✔ 63.45
17.
44% of 97
$$
0.44 \times 97 = ?
$$
$$
= (0.4 \times 97) + (0.04 \times 97) = 38.8 + 3.88 = 42.68
$$
✔ 42.68
18.
62% of 82
$$
0.62 \times 82 = ?
$$
$$
= (0.6 \times 82) + (0.02 \times 82) = 49.2 + 1.64 = 50.84
$$
✔ 50.84
19.
47% of 67
$$
0.47 \times 67 = ?
$$
$$
= (0.4 \times 67) + (0.07 \times 67) = 26.8 + 4.69 = 31.49
$$
✔ 31.49
20.
82% of 124
$$
0.82 \times 124 = ?
$$
$$
= (0.8 \times 124) + (0.02 \times 124) = 99.2 + 2.48 = 101.68
$$
✔ 101.68
---
✔ Final Answers:
| # | Answer |
|---|--------|
| 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 | 50.84 |
|19 | 31.49 |
|20 | 101.68 |
---
💡 Tips for Solving Without a Calculator:
- Use
fractions: e.g., 25% = 1/4, so 25% of 40 = 40 ÷ 4 = 10.
- Break percentages into easier parts:
e.g., 15% = 10% + 5%, so 15% of 80 = 8 + 4 = 12.
- Multiply decimals mentally or in steps.
Let me know if you'd like a printable version or explanation for any specific problem! 😊
Parent Tip: Review the logic above to help your child master the concept of finding a percent of a number worksheet.
