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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Measurement

How many feet are in $72\ inches?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that $1\ foot=12\ inches$ , and we can use has our unknown.

$\frac{1\ foot}{12\ inches}=\frac{x\ feet}{72\ inches}$

Next, we want to cross multiply and divide to isolate the on one side.

$12\ inches\times x\ feet= 1\ foot \times 72\ inches$

$6\ feet= \frac{1\ foot \times 72\ inches}{12\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $6\ feet$

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Example Question #2 : Measurement

How many meters are in $6\ centimeters?$

Possible Answers:

600

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{6\ centimeters}{x\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times x\ meters=.01\ meter\times 6\ centimeters$

$x\ meters=\frac{.01\ meter\times 6\ centimeters}{1\ centimeter}$

The centimeters will cancel and we are left with $.06\ meters$

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Example Question #34 : Measurement

How many $\textup { meters}$ are in $12\textup{ centimeters?}$

Possible Answers:

$1.2\textup { meters}$

$12\textup { meters}$

$.012\textup { meters}$

$12.0\textup { meters}$

$.12\textup { meters}$

Correct answer:

$.12\textup { meters}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{12\ centimeters}{x\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times x\ meters=.01\ meter\times 12\ centimeters$

$x\ meters=\frac{.01\ meter\times 12\ centimeters}{1\ centimeter}$

The centimeters will cancel and we are left with $.12\ meters$

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Example Question #1 : Solving Word Problems With Multiple Unit Conversions

How many $\textup { centimeters}$ are in $5\textup { meters?}$

Possible Answers:

$50\textup { centimeters}$

$5\textup,000\textup { centimeters}$

$1.5\textup { centimeters}$

$5\textup { centimeters}$

$500\textup { centimeters}$

Correct answer:

$500\textup { centimeters}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{5\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 5\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 5\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $500\ centimeters$

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Example Question #2 : Measurement & Data

How many centimeters are in $3\ meters?$

Possible Answers:

300

3,000

Correct answer:

300

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{3\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 3\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 3\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $300\ centimeters$

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Example Question #3 : Measurement

How many centimeters are in $7\ meters?$

Possible Answers:

700

7,000

Correct answer:

700

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{7\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 7\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 7\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $700\ centimeters$

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Example Question #4 : Measurement

How many centimeters are in $9\ meters?$

Possible Answers:

900

9,000

Correct answer:

900

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{9\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 9\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 9\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $900\ centimeters$

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Example Question #3 : Measurement & Data

How many centimeters are in $17\ meters?$

Possible Answers:

1,700

17,000

170

1.7

Correct answer:

1,700

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{17\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 17\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 17\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $1,700\ centimeters$

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Example Question #24 : How To Find A Proportion

Find the value of the variable y in the proportion below

8:4 = 10:y

Possible Answers:

y=2

y=5

y=8

y=6

$y=\frac{1}{2}$

Correct answer:

y=5

Explanation:

The first step is to change the colon form 8:4 = 10:y to fractional form.

$\frac{8}{4}=\frac{10}{y}$

The next step is to cross multiply,

$8 \times y= 10 \times4\Rightarrow8y = 40$

After cross multiplying, we need to isolate the y variable. This can be done by dividing both sides by 8 shown below,

$\frac{8y}{8}=\frac{40}{8}\Rightarrow y =\frac{40}{8}=5$

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Example Question #801 : Ssat Middle Level Quantitative (Math)

Phil earns $\$10.00$ for each hour he works. For every hour he works, he then gives $\$2.00$ to his sister Lola. How much money will Lola have if Phil works 13.5 hours?

Possible Answers:

$\$135.00$

$\$15.50$

$\$67.50$

$\$27.00$

$\$23.50$

Correct answer:

$\$27.00$

Explanation:

To Solve:

Multiply the $\$2.00$ Lola receives by the 13.5 hours Phil worked:

$\small $2.00 \cdot 13.5=27$

Phil will give Lola $\$27.00$ if he works 13.5 hours.

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All SSAT Middle Level Math Resources

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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1 : Measurement

Example Question #2 : Measurement

Example Question #34 : Measurement

Example Question #1 : Solving Word Problems With Multiple Unit Conversions

Example Question #2 : Measurement & Data

Example Question #3 : Measurement

Example Question #4 : Measurement

Example Question #3 : Measurement & Data

Example Question #24 : How To Find A Proportion

Example Question #801 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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