SSAT Elementary Level Math : How to find a proportion

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

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Example Question #1 : How To Find A Proportion

Possible Answers:

Correct answer:

Explanation:

Example Question #2 : How To Find A Proportion

What is 10% of 100?

Possible Answers:

Correct answer:

Explanation:

10% of 100 is calculated by multiplying .10 by 100.

Example Question #3 : How To Find A Proportion

What is 13% of 100?

Possible Answers:

Correct answer:

Explanation:

13% of 100 is calculated by multiplying .13 by 100.

Example Question #3 : How To Find A Proportion

Solve for x:

Possible Answers:

Correct answer:

Explanation:

Multiply both sides by 3 to yield:

 

Example Question #4 : How To Find A Proportion

Brad is paid  per hour at his current job. If a promotion would increase Brad's pay by , what would Brad make per hour after a promotion?

Possible Answers:

 per hour

Correct answer:

 per hour

Explanation:

To find  of Brad's pay, multiply it by  (since  is the original number and  is twice that). , which is the amount of the increase to Brad's pay. Add this increase to the original pay to get the new pay:  per hour.

Example Question #21 : Numbers And Operations

Sofia goes to the movies with . She spends  on her ticket and  on food and drink.

What fraction of Sofia's original  was not spent?

Possible Answers:

Correct answer:

Explanation:

Adding Sofia's expenses shows that she spent a total of  dollars. Subtracting this from the original amount of money she had gives the unspent portion: 

The ratio of the unspent portion to the original amount gives the fraction of the money that was not spent: .

Example Question #22 : Numbers And Operations

 sweater is on sale for . What percentage of the original price has been discounted for the sale?

Possible Answers:

Correct answer:

Explanation:

Set up a proportion of the new price to the old price to see how they relate.

 of the original price

Subtract  from  to find the amount that was discounted. 

Convert  to a decimal by multiplying both the top and bottom of the fraction by , then convert to a percentage.

, which is equivalent to  or 

Example Question #2 : How To Find A Proportion

Mary wants to enlarge a picture that she has in her office. The original picture is  cm (width) by cm (length). What would be the length of the enlarged picture if the width is cm?

Possible Answers:

Correct answer:

Explanation:

To find the length of the enlarged picture, we must set up a proportion:

cross multiply:

Divide both sides by 5:

Example Question #8 : How To Find A Proportion

Solve for y:

Possible Answers:

Correct answer:

Explanation:

Multiply both sides by 8 to yield:

Therefore:

 

Therefore:

Example Question #3 : How To Find A Proportion

Solve for the variable:

Possible Answers:

4

8

15

5

3

Correct answer:

5

Explanation:

Cross multiply: 

Solve for x by dividing 60 by 12:

 

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