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Problem Solving And Data Analysis · Ratios Rates And Proportions

SAT Ratios Rates And Proportions Practice Questions (Free + Explanations) | Quiz 2

Question 12345 of 5

Question 1 of 5

The table shows the number of notebooks sold by a store during 4 days.

Day 1: 12 notebooks
Day 2: 18 notebooks
Day 3: 15 notebooks
Day 4: 21 notebooks

If the ratio of spiral notebooks to total notebooks sold was each day, how many spiral notebooks were sold over the 4 days?

Explanation

First find the total number of notebooks sold: . Since the ratio of spiral notebooks to total notebooks is , the number of spiral notebooks is . Therefore, the correct answer is .

Concept summary

To use a ratio like , interpret it as a fraction: of the total quantity. First find the total, then multiply by the fraction from the ratio.

Question 2 of 5

A parking garage charges at a constant rate. If parking for 2 hours costs

Explanation

Because the garage charges at a constant rate, the cost is proportional to the number of hours parked. If 2 hours costs \frac{6}{2}=33

Concept summary

When a situation has a constant rate, divide to find the unit rate and then use multiplication to compare other amounts.

Question 3 of 5

A rectangular room is 12 feet long and 9 feet wide. A blueprint of the room is drawn using a scale of inch to feet. What is the area of the room on the blueprint, in square inches?

Explanation

The scale is inch for every feet, so divide each actual dimension by to get the blueprint dimensions. The room's length on the blueprint is inches, and its width is inches. The area on the blueprint is square inches. Therefore, the correct answer is .

Concept summary

With a scale drawing, convert each linear dimension using the scale first, then calculate the requested measurement such as area.

Question 4 of 5

A shuttle bus travels 90 miles in 2 hours at a constant rate. At that same rate, how many miles will the shuttle bus travel in 5 hours?

Explanation

First find the unit rate: miles per hour. Then multiply by 5 hours: . So the shuttle bus will travel miles.

Concept summary

Use a proportion or unit rate when a quantity changes at a constant rate: find the amount per 1 unit, then scale to the new number of units.

Question 5 of 5

At a garden center, liquid fertilizer is mixed with water in a ratio of . If a worker wants to make cups of this mixture, how many cups of fertilizer should be used?

Explanation

A ratio of means there are total equal parts in the mixture. The fertilizer is of those parts, so the amount of fertilizer is cups. Therefore, the correct answer is .

Concept summary

In a ratio, add the parts to find the total number of equal parts, then use the needed part as a fraction of the whole quantity.

Your results

0of 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.

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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