Percentage online exercise for Grade 5 - Free Printable

Let's solve each part of the worksheet step by step.

---

Test I. Express each in percent form.

To convert a fraction to a percentage, use the formula:

$$
\text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
$$

1. 5 in a set of 15 toothpicks
$$
\frac{5}{15} \times 100 = \frac{1}{3} \times 100 \approx 33.33\%
$$
✔ Answer: 33.33%

2. 4 in a set of 8 cups
$$
\frac{4}{8} \times 100 = 0.5 \times 100 = 50\%
$$
✔ Answer: 50%

3. 3 in a set of 12 saucers
$$
\frac{3}{12} \times 100 = 0.25 \times 100 = 25\%
$$
✔ Answer: 25%

4. 2 in a set of 8 plates
$$
\frac{2}{8} \times 100 = 0.25 \times 100 = 25\%
$$
✔ Answer: 25%

5. 6 oranges out of 12 fruits
$$
\frac{6}{12} \times 100 = 0.5 \times 100 = 50\%
$$
✔ Answer: 50%

---

Test II. Completing the Table

We use the formula:
- Percentage = Base × Rate
- Base = Percentage ÷ Rate
- Rate = Percentage ÷ Base

| BASE | RATE | PERCENTAGE |
|------|--------|------------|
| 40 | 10% | 4 |
| 80 | ? | 25 |
| ? | 20% | 60 |
| 180 | 15% | ? |
| 124 | ? | 48 |
| 100 | 13.15% | ? |

Now fill in the blanks:

1. Base = 80, Percentage = 25 → Find Rate
$$
\text{Rate} = \frac{25}{80} = 0.3125 = 31.25\%
$$
✔ Rate: 31.25%

2. Rate = 20%, Percentage = 60 → Find Base
$$
\text{Base} = \frac{60}{0.20} = 300
$$
✔ Base: 300

3. Base = 180, Rate = 15% → Find Percentage
$$
\text{Percentage} = 180 \times 0.15 = 27
$$
✔ Percentage: 27

4. Base = 124, Percentage = 48 → Find Rate
$$
\text{Rate} = \frac{48}{124} \approx 0.3871 = 38.71\%
$$
✔ Rate: 38.71%

5. Base = 100, Rate = 13.15% → Find Percentage
$$
\text{Percentage} = 100 \times 0.1315 = 13.15
$$
✔ Percentage: 13.15

---

Final Table:

| BASE | RATE | PERCENTAGE |
|-------|----------|------------|
| 40 | 10% | 4 |
| 80 | 31.25% | 25 |
| 300 | 20% | 60 |
| 180 | 15% | 27 |
| 124 | 38.71% | 48 |
| 100 | 13.15% | 13.15 |

---

Test III. Solve each problem

#### 1. There are 50 people in a coffee shop. Fourteen of them are tourists. What percent of the people in the shop are tourists?

$$
\frac{14}{50} \times 100 = 28\%
$$
✔ Answer: 28%

---

#### 2. If Paolo got 80% on a test, which has a total of 40 items, how many items did he answer correctly?

$$
\text{Correct items} = 40 \times 0.80 = 32
$$
✔ Answer: 32 items

---

#### 3. Our class of 45 pupils had a field trip to Ocean Park. Nine of my classmates were not able to come. What percent of our class was not able to join the field trip?

$$
\frac{9}{45} \times 100 = 20\%
$$
✔ Answer: 20%

---

#### 4. At an ice cream factory we visited, there were 12 workers, in which composed 4% workers in the factory. How many workers did the factory have?

Let total workers = $ x $

$$
4\% \text{ of } x = 12 \\
0.04x = 12 \\
x = \frac{12}{0.04} = 300
$$
✔ Answer: 300 workers

---

#### 5. For every kilogram of chicken she sells for ₱120, Aling Rosa makes profit of 20%. She was able to sell 32 kg of chicken. How much profit did she make?

First, find profit per kg:
$$
\text{Profit per kg} = 20\% \text{ of } ₱120 = 0.20 \times 120 = ₱24
$$

Total profit for 32 kg:
$$
32 \times 24 = ₱768
$$
✔ Answer: ₱768

---

✔ Final Answers Summary:

---

#### Test I: Percent Form
1. 33.33%
2. 50%
3. 25%
4. 25%
5. 50%

---

#### Test II: Table Completion

| BASE | RATE | PERCENTAGE |
|-------|------------|------------|
| 40 | 10% | 4 |
| 80 | 31.25% | 25 |
| 300 | 20% | 60 |
| 180 | 15% | 27 |
| 124 | 38.71% | 48 |
| 100 | 13.15% | 13.15 |

---

#### Test III: Problem Solving
1. 28%
2. 32 items
3. 20%
4. 300 workers
5. ₱768

---

✔ All problems solved and explained. You can now write these answers neatly on your clean sheet of paper as instructed.