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Problem Solving And Data Analysis · Percentages And Unit Conversions

SAT Percentages And Unit Conversions Practice Questions (Free + Explanations) | Quiz 2

Question 12345 of 5

Question 1 of 5

A school store recorded the number of bottles of water sold and the percent of those bottles that were flavored on two days.

How many flavored bottles were sold in all on Monday and Tuesday?

Explanation

Find the number of flavored bottles each day, then add. On Monday, of 80 is . On Tuesday, of 60 is . Altogether, . So the correct answer is .

Concept summary

To find a total from percentage data in a table, compute the part for each row separately using percent times whole, then add the results.

Question 2 of 5

A store advertises that a jacket originally priced at is on sale for . Which statement must be true?

Explanation

The amount of the discount is dollars. To find the percent discount, divide the discount by the original price: . Therefore, the statement that must be true is that the discount is exactly .

Concept summary

Percent discount is found by dividing the amount of the decrease by the original amount, then converting to a percent.

Question 3 of 5

A rectangular garden is 20 feet long and 15 feet wide. A plan for a new garden keeps the same width but increases the length by 25%. What will be the area of the new garden, in square feet?

Explanation

The original length is 20 feet. Increasing it by 25% means multiplying by : . The width stays 15 feet, so the new area is square feet. Therefore, the correct answer is .

Concept summary

When one dimension of a rectangle changes by a percent and the other stays the same, first find the new dimension using a percent multiplier, then compute the area.

Question 4 of 5

A charity walk is kilometers long. A participant has completed of the walk. About how many miles has the participant walked? (Use kilometer mile.)

Explanation

First find of kilometers: kilometers. Then convert kilometers to miles using kilometer mile: . So the participant has walked about miles.

Concept summary

To solve a percent-and-conversion problem, first find the part using the percent as a decimal, then convert the resulting amount to the new unit.

Question 5 of 5

A store marks the original price of a backpack down by , and the sale price is then reduced by an additional \12\, what was the original price of the backpack, in dollars?

Explanation

Let the original price be . After a markdown, the price becomes of , or . Then \120.8p - 12 = 520.8p = 640.8p = \frac{64}{0.8} = 80\.

Concept summary

When a quantity is reduced by a percent and then by a fixed amount, write an equation in the correct order of changes and solve backward to find the original value.

Your results

0of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

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Your results

1of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

2of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

3of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

4of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

5of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice