Printable percent decrease practice problems with answers (Grade 7).

📚 Topic Summary

Percent decrease is a way to express how much a quantity has reduced compared to its original value. It's calculated by finding the difference between the original and new values, dividing that difference by the original value, and then multiplying by 100 to express it as a percentage. Understanding percent decrease is useful in many real-life situations, such as calculating discounts, analyzing sales drops, or understanding population decline.

For example, if a price drops from $20 to $15, the percent decrease is calculated as follows:

Decrease = Original Value - New Value = $20 - $15 = $5

Percent Decrease = $\frac{Decrease}{Original Value} \times 100 = \frac{5}{20} \times 100 = 25\%$

🧠 Part A: Vocabulary

Match the terms with their definitions:

1. Term: Original Value
2. Term: New Value
3. Term: Decrease
4. Term: Percent Decrease
5. Term: Percentage

1. Definition: The amount reduced from the original value.
2. Definition: The starting amount before any reduction.
3. Definition: The value after the reduction.
4. Definition: A ratio expressed as a fraction of 100.
5. Definition: The extent to which something is reduced, expressed as a percent.

Match the term to its definition. Answers are at the end!

✍️ Part B: Fill in the Blanks

Complete the following paragraph using the words: original, decrease, percentage, new, 100.

To calculate the percent __________, you need to know the __________ value and the __________ value. Find the difference between the two, divide by the original value, and multiply by __________. The answer is the __________ decrease.

🤔 Part C: Critical Thinking

Imagine a store is having a 40% off sale on all items. Why is it important to know the original price of an item before calculating the discount? Explain your reasoning.

✅ Part D: Percent Decrease Practice Problems

1. A shirt was originally priced at $25, but is now on sale for $20. What is the percent decrease in price?
2. A video game had 50,000 players, but now only has 40,000. Calculate the percent decrease in players.
3. The temperature dropped from 30°C to 24°C. What is the percent decrease in temperature?
4. A company's profits decreased from $100,000 to $75,000. Find the percent decrease in profits.
5. A plant grew from 20cm to 16cm due to lack of sunlight. What is the percent decrease in the plant's height?
6. The number of students in a class dropped from 30 to 27. What is the percent decrease in students?
7. A car's value decreased from $20,000 to $16,000. What is the percent decrease in the car's value?

💡 Answers

Part A:

1. 2
2. 3
3. 1
4. 5
5. 4

Part B:

To calculate the percent decrease, you need to know the original value and the new value. Find the difference between the two, divide by the original value, and multiply by 100. The answer is the percentage decrease.

Part D:

1. 20%
2. 20%
3. 20%
4. 25%
5. 20%
6. 10%
7. 20%