Percent of Change Worksheet for Teachers | Perfect for grades 3rd ... - Free Printable

Let's solve each of these percent of change problems step by step.

The general formula for percent change is:

$$
\text{Percent Change} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100\%
$$

- If the result is positive, it’s a percent increase.
- If the result is negative, it’s a percent decrease.

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1. Shoes: $50 → $65 (Increase)

$$
\frac{65 - 50}{50} \times 100\% = \frac{15}{50} \times 100\% = 0.3 \times 100\% = \boxed{30\%} \text{ increase}
$$

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2. Car: $15,000 → $18,000 (Increase)

$$
\frac{18,000 - 15,000}{15,000} \times 100\% = \frac{3,000}{15,000} \times 100\% = 0.2 \times 100\% = \boxed{20\%} \text{ increase}
$$

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3. Temperature: 80°F → 68°F (Decrease)

$$
\frac{68 - 80}{80} \times 100\% = \frac{-12}{80} \times 100\% = -0.15 \times 100\% = \boxed{-15\%} \text{ or } \boxed{15\%} \text{ decrease}
$$

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4. Students: 500 → 450 (Decrease)

$$
\frac{450 - 500}{500} \times 100\% = \frac{-50}{500} \times 100\% = -0.1 \times 100\% = \boxed{-10\%} \text{ or } \boxed{10\%} \text{ decrease}
$$

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5. Population: 500,000 → 600,000 (Increase)

$$
\frac{600,000 - 500,000}{500,000} \times 100\% = \frac{100,000}{500,000} \times 100\% = 0.2 \times 100\% = \boxed{20\%} \text{ increase}
$$

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6. Shirt: $30 → $25 (Decrease)

$$
\frac{25 - 30}{30} \times 100\% = \frac{-5}{30} \times 100\% \approx -0.1667 \times 100\% = \boxed{-16.67\%} \text{ or } \boxed{16.67\%} \text{ decrease}
$$

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✔ Final Answers:

1. Shoes: 30% increase
2. Car: 20% increase
3. Temperature: 15% decrease
4. Students: 10% decrease
5. Population: 20% increase
6. Shirt: 16.67% decrease

Let me know if you'd like this formatted as a worksheet or with explanations in simpler terms!