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SSAT Elementary Level Math : Numbers and Operations

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

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All SSAT Elementary Level Math Resources

12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

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:

$\frac{1}{8}$

$\frac{2}{5}$

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{1}{3}$

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 #22 : Ssat Elementary Level Quantitative (Math)

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

Possible Answers:

$45\%$

$30\%$

$40\%$

$35\%$

$15\%$

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 #5 : 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:

$16\ cm$

$15\ cm$

$12\ cm$

$21\ cm$

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 #21 : Numbers And Operations

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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Example Question #11 : How To Find A Proportion

Solve for the variable:

$\frac{5}{9}=\frac{x}{27}$

Possible Answers:

135

Correct answer:

Explanation:

Cross multiply:

$5\times27=9\times x$

Solve for by dividing 135 by 9:

x=15

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Example Question #12 : How To Find A Proportion

Solve for the variable:

$\frac{3}{4}=\frac{6}{x}$

Possible Answers:

Correct answer:

Explanation:

There are two ways to solve. First, you may see that the top numbers are related by multiplying by 2.

3*2=6

This means that the bottom numbers must also be related by multiplying by 2.

4*2=x

8=x

The missing number is therefore 8.

The other way to solve is to cross multiply:

$\frac{3}{4}=\frac{6}{x}$

$3\times (x) = 4\times6$

3x = 24

Solve for by dividing 24 by 3:

$x = \frac{24}{3}=8$

$\frac{3}{4}=\frac{6}{8}$

The answer is again 8.

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Example Question #26 : Ssat Elementary Level Quantitative (Math)

Find the unknown value: $\frac{2}{3}= \frac{8}{x}$

Possible Answers:

$\frac{1}{12}$

$\frac{2}{3}$

$\frac{3}{16}$

$\frac{16}{3}$

Correct answer:

Explanation:

To solve the proportion, cross multiply and find the value of the missing variable.

$2x=8\times3$

2x=24

Divide by on both sides.

x=12

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Example Question #27 : Ssat Elementary Level Quantitative (Math)

Solve: $\frac{3}{7}= \frac{10}{x}$

Possible Answers:

$\frac{70}{3}$

$\frac{7}{30}$

$\frac{30}{7}$

$\frac{3}{70}$

$\frac{21}{10}$

Correct answer:

$\frac{70}{3}$

Explanation:

Solve by cross multipling the two fractions.

$3x=10\times7$

3x=70

Divide by on both sides.

$x=\frac{70}{3}$

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Example Question #28 : Numbers And Operations

What is $10\%$ of 200 ?

Possible Answers:

Correct answer:

Explanation:

$10\%$ of 200 is calculated by multiplying . by 200 .

$.10\times 200=20$

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All SSAT Elementary Level Math Resources

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SSAT Elementary Level Math : Numbers and Operations

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

All SSAT Elementary Level Math Resources

Example Questions

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

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

Example Question #5 : How To Find A Proportion

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

Example Question #21 : Numbers And Operations

Example Question #11 : How To Find A Proportion

Example Question #12 : How To Find A Proportion

Example Question #26 : Ssat Elementary Level Quantitative (Math)

Example Question #27 : Ssat Elementary Level Quantitative (Math)

Example Question #28 : Numbers And Operations

All SSAT Elementary Level Math Resources

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