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Problem Solving And Data Analysis · Ratios Rates And Proportions

SAT Ratios Rates And Proportions Practice Questions (Free + Explanations) | Quiz 3

Question 12345 of 5

Question 1 of 5

A paint mixture is made using 2 parts blue paint for every 5 parts white paint. If a batch contains 28 total cups of paint, which expression gives the number of cups of blue paint in the batch?

Explanation

The ratio of blue to white paint is , so there are total equal parts in the mixture. Blue paint makes up of the total mixture. Therefore, the number of cups of blue paint is . So the correct expression is .

Concept summary

To find one part of a mixture from a ratio, first add the parts to get the total number of equal parts, then use the desired part over the total parts as a fraction of the whole.

Question 2 of 5

On the coordinate plane, a line passes through the points and . If the relationship between and is proportional, what is the value of when ?

Explanation

Because the relationship is proportional, it has the form , where is the constant of proportionality. Use either given point to find : or . Then when , substitute into : . So the correct answer is .

Concept summary

For a proportional relationship shown by points on a graph, the ratio is constant. Find that constant first, then multiply it by the new -value.

Question 3 of 5

A science club is making a saltwater solution by combining water and salt in a ratio of cups of water to cups of salt. If the club uses a total of cups of water and salt, how many cups of salt are used?

Explanation

The ratio of water to salt is , so each full batch has total cups. The club has total cups, so the number of batches is . Each batch uses cups of salt, so the total amount of salt is cups. Therefore, the correct answer is .

Concept summary

To solve a ratio problem with a total amount, add the ratio parts to find one full group, determine how many groups there are, and then use the needed part of the ratio.

Question 4 of 5

The table shows the amount of gasoline a car used during several trips.

If the car continues to use gasoline at the same rate, how many gallons of gasoline will it use to travel 300 miles?

Explanation

From the table, the car uses gallons for miles, so its rate is gallon per mile. For miles, the amount of gasoline used is gallons. Therefore, the correct answer is .

Concept summary

Use a constant ratio or unit rate from a table, then apply it to the new quantity with a proportion or multiplication.

Question 5 of 5

A store sells trail mix in bags. For every 3 small bags sold, 2 large bags are sold. If 20 bags are sold in all, which statement must be true?

Explanation

The ratio of small bags to large bags is . That means the bags are sold in groups of total bags. Since 20 bags were sold, the number of groups is . Each group has 2 large bags, so the number of large bags sold is . Therefore, the statement that must be true is that 8 large bags were sold.

Concept summary

When a ratio compares parts of a total, add the parts first to find one full group, then use the total to determine how many groups there are.

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