5th Grade Percentage Worksheet | Finding Percentages | Answers - Free Printable

Let's solve each problem from the 5th Grade Percentage Worksheet step by step.

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1. What is 70% of a kg?

We know:
- 1 kg = 1000 grams
- 70% means 70 out of 100, or $ \frac{70}{100} = 0.7 $

So,
$$
70\% \text{ of } 1\text{ kg} = 0.7 \times 1000 = 700 \text{ grams}
$$

✔ Answer: 700 grams

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2. What percent of 21 is 15?

We want to find what percent 15 is of 21.

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

$$
= \left( \frac{15}{21} \right) \times 100 = \left( \frac{5}{7} \right) \times 100 \approx 71.43\%
$$

✔ Answer: Approximately 71.43%

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3. What percent of 45 is 28?

Again, use the same formula:
$$
\left( \frac{28}{45} \right) \times 100 \approx 62.22\%
$$

✔ Answer: Approximately 62.22%

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4. In the set of first 10 natural numbers – 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10:

Total numbers = 10

#### (i) What percent of the numbers are odd?

Odd numbers: 1, 3, 5, 7, 9 → 5 numbers

$$
\frac{5}{10} \times 100 = 50\%
$$

✔ Answer: 50%

#### (ii) What percent of numbers are multiples of 4?

Multiples of 4 in the list: 4, 8 → 2 numbers

$$
\frac{2}{10} \times 100 = 20\%
$$

✔ Answer: 20%

#### (iii) What percent of numbers are less than 8?

Numbers less than 8: 1, 2, 3, 4, 5, 6, 7 → 7 numbers

$$
\frac{7}{10} \times 100 = 70\%
$$

✔ Answer: 70%

#### (iv) What percent of numbers are factors of 7?

Factors of 7: Since 7 is prime, its only positive factors are 1 and 7.

In the list: 1 and 7 → 2 numbers

$$
\frac{2}{10} \times 100 = 20\%
$$

✔ Answer: 20%

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5. Angela loves to travel and spends 25% of the year on vacation and works for the rest of the year. What fraction of the year does she travel?

She travels 25% of the year.

Convert percentage to fraction:
$$
25\% = \frac{25}{100} = \frac{1}{4}
$$

✔ Answer: $ \frac{1}{4} $ of the year

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✔ Final Answers Summary:

1. 700 grams
2. 71.43%
3. 62.22%
4.
(i) 50%
(ii) 20%
(iii) 70%
(iv) 20%
5. $ \frac{1}{4} $

Let me know if you'd like this formatted as a printable answer sheet!