Percent Increase, Percent Decrease and Percent Error: Grade 7 Math Test – PDF Download

Question 1: Classify the change (2 points)

Find each percent change and state whether it is an increase or a decrease.

1. From 40 to 52 (1 point)
2. From 75 to 60 (1 point)

Question 2: New amounts (2 points)

Calculate the new amount.

1. $120 increased by \(15\%\) (1 point)
2. 64 pounds decreased by \(25\%\) (1 point)

Question 3: Original price (2 points)

A tablet is on sale for $54 after a \(40\%\) discount. Find the original price.

Question 4: Percent error (3 points)

Lena measured a countertop as 78.4 inches long. Its actual length is 80 inches.

1. Find the error in her measurement. (1 point)
2. Find the percent error. (1 point)
3. She also measured a 25-inch board as 25.75 inches. Which measurement has the smaller percent error? (1 point)

Question 5: Up then down (3 points)

A concert ticket costs $48. The price increases by \(25\%\). Later the new price decreases by \(20\%\).

1. Find the price after the increase. (1 point)
2. Find the price after the decrease. (1 point)
3. Maya says the two changes combine to a \(5\%\) increase. Explain why she is wrong. (1 point)

Question 6: Population (2 points)

The population of a town fell from 12,500 to 11,000. Find the percent decrease.

Question 7: Compare growth (3 points)

Plant A grew from 8 inches to 10 inches. Plant B grew from 20 inches to 24 inches.

1. Find the percent increase in height for each plant. (2 points)
2. Which plant grew by the greater percent? (1 point)

Question 8: Discount and tax (3 points)

Shoes are on sale for $44 after a \(20\%\) discount. Sales tax of \(7\%\) is charged on the sale price.

1. Find the original price. (1 point)
2. Find the total cost including tax. (1 point)
3. The total is what percent change from the original price? (1 point)

⬇ Download the Grade 7 Percent Increase, Percent Decrease and Percent Error test (PDF, 79 KB)

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