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SSAT Elementary Level Math : How to find a proportion

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

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All SSAT Elementary Level Math Resources

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Example Questions

Example Question #1 : How To Find A Proportion

$Which\;number\;is\;bigger: \frac{3}{7}\;or\;\frac{3}{8}\,?$

Possible Answers:

$\frac{3}{7}$

$\frac{3}{8}$

Correct answer:

$\frac{3}{7}$

Explanation:

$When\;the\;denominator\;(bottom\;number)\;gets\;bigger,\;the\;number\;gets\;smaller.$

$For\;example,\;\frac{1}{2}\;is\;bigger\;than\;\frac{1}{3}.$

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Example Question #2 : How To Find A Proportion

What is 10% of 100?

Possible Answers:

100

Correct answer:

Explanation:

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

$.10\times100=10$

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Example Question #3 : How To Find A Proportion

What is 13% of 100?

Possible Answers:

1.3

Correct answer:

Explanation:

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

$.13\times 100=13$

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Example Question #1 : How To Find A Proportion

Solve for x:

$\frac{x}{3} = \frac{7}{6}$

Possible Answers:

4.5

3.5

2.5

1.5

5.5

Correct answer:

3.5

Explanation:

Multiply both sides by 3 to yield:

$\frac{x}{3} = \frac{7}{6} \equiv x =\frac{21}{6} \equiv x = 3.5$

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Example Question #5 : How To Find A Proportion

Brad is paid $\$10$ per hour at his current job. If a promotion would increase Brad's pay by $200\%$ , what would Brad make per hour after a promotion?

Possible Answers:

$\$30$ per hour

$\$300$

$\$200$

$\$250$

$\$20$

Correct answer:

$\$30$ per hour

Explanation:

To find $200\%$ of Brad's pay, multiply it by (since $100\%$ is the original number and $200\%$ is twice that). $2 \times 10= 20$ , which is the amount of the increase to Brad's pay. Add this increase to the original pay to get the new pay: $\$10 + \$20 = \$30$ per hour.

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Example Question #21 : Ratio And Proportion

Sofia goes to the movies with $\$24$ . She spends $\$12$ on her ticket and $\$4$ on food and drink.

What fraction of Sofia's original $\$24$ was not spent?

Possible Answers:

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{8}$

$\frac{2}{5}$

Correct answer:

$\frac{1}{3}$

Explanation:

Adding Sofia's expenses shows that she spent a total of 12 + 4 = 16 dollars. Subtracting this from the original amount of money she had gives the unspent portion: $\$24 - \$16 = \$8$ .

The ratio of the unspent portion to the original amount gives the fraction of the money that was not spent: $\frac{8}{24} = \frac{1}{3}$ .

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Example Question #7 : How To Find A Proportion

A $\$75$ sweater is on sale for $\$45$ . What percentage of the original price has been discounted for the sale?

Possible Answers:

$30\%$

$45\%$

$15\%$

$35\%$

$40\%$

Correct answer:

$40\%$

Explanation:

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

$\frac{\$45}{\$75} = \frac{3}{5}$ of the original price

Subtract $\frac{3}{5}$ from to find the amount that was discounted.

$1 - \frac{3}{5} = \frac{2}{5}$

Convert $\frac{2}{5}$ to a decimal by multiplying both the top and bottom of the fraction by , then convert to a percentage.

$\frac{2}{5} \times\frac{2}{2}=\frac{4}{10}$ , which is equivalent to 0.4 or $40\%$

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Example Question #4 : 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:

$15\ cm$

$21\ cm$

$12\ cm$

$16\ cm$

Correct answer:

$16\ cm$

Explanation:

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

$\frac{5}{10}=\frac{8}{x}$

cross multiply:

5x=80

Divide both sides by 5:

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Example Question #21 : Ssat Elementary Level Quantitative (Math)

Solve for y:

$\frac{y}{8} = \frac{5}{4}$

Possible Answers:

Correct answer:

Explanation:

Multiply both sides by 8 to yield:

$8\times\frac{y}{8} = 8\times\frac{5}{4}$

Therefore:

$y = \frac{40}{4}$

Therefore:

y = 10

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Example Question #22 : Ssat Elementary Level Quantitative (Math)

Solve for the variable:

$\frac{x}{6}=\frac{10}{12}$

Possible Answers:

Correct answer:

Explanation:

Cross multiply:

$(x) \times 12=6\times10$

12x=60

Solve for x by dividing 60 by 12:

x=5

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SSAT Elementary Level Math : How to find a proportion

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

All SSAT Elementary Level Math Resources

Example Questions

Example Question #1 : How To Find A Proportion

Example Question #2 : How To Find A Proportion

Example Question #3 : How To Find A Proportion

Example Question #1 : How To Find A Proportion

Example Question #5 : How To Find A Proportion

Example Question #21 : Ratio And Proportion

Example Question #7 : How To Find A Proportion

Example Question #4 : How To Find A Proportion

Example Question #21 : Ssat Elementary Level Quantitative (Math)

Example Question #22 : Ssat Elementary Level Quantitative (Math)

All SSAT Elementary Level Math Resources

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