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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 #31 : Numbers And Operations

If the ratio of boys to girls in a classroom is 11:12 , and there are a total of of students in the classroom, how many boys are in the classroom?

Possible Answers:

Correct answer:

Explanation:

If the ratio of boys to girls in a classroom is 11:12 , that means that there are boys for every girls. Thus, when there are students in a classroom, the breakdown will be boys and girls. If there are students in a classroom, the breakdown will be boys and girls, which translates to a ratio of 22:24 , or 11:12 .

Thus, if there are students, will be boys.

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Example Question #142 : Numbers And Operations

On Saturday Jake raked leaves for 180 minutes and on Sunday he raked leaves for hours. In hours, how much total time did he spend raking on both Saturday and Sunday?

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. We know that 1 hr=60min . We can set up a proportion and cross multiply to solve.

$\frac{1hr}{60min}=\frac{x}{180min}$

60min(x)=1hr(180min)

Then we can divide to isolate the .

$\frac{60min(x)}{60min}=\frac{1hr(180min)}{60min}$

x=3hr

Now we can add our hours together to find the total.

3hr+2hr=5hr

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Example Question #21 : How To Find A Proportion

Matt studied for 180 minutes everyday from Monday-Friday. How many total hours did he spend studying?

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. We know that 1hr=60min . We can set up a proportion and cross multiply to solve.

$\frac{1hr}{60min}=\frac{x}{180min}$

60min(x)=180min(1hr)

Then we can divide to isolate the .

$\frac{60min(x)}{60min}=\frac{180min(1hr)}{60min}$

x=3hr

Now we need to multiply $3\times5$ because Matt studied for hours each day.

$3hr\times5=15hr$

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Example Question #1 : Converting Units Of Measurement

How many inches are in $6\ yards?$

Possible Answers:

200

304

216

232

246

Correct answer:

216

Explanation:

To solve this problem we can make proportions.

We know that $1\ yard=36\ inches$ , and we can use as our unknown.

$\frac{1\ yard}{36\ inches}=\frac{6\ yards}{x\ inches}$

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

$36\ inches\times 6\ yards= 1\ yard \times x\ inches$

$\frac{36\ inches\times 6\ yards}{1\ yard}= 216\ inches$

The $\yards$ $\ yards$ will cancel and we are left with $216\ inches$

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Example Question #23 : How To Find A Proportion

How many inches are in $3\ yards?$

Possible Answers:

108

116

112

Correct answer:

108

Explanation:

To solve this problem we can make proportions.

We know that $1\ yard=36\ inches$ , and we can use as our unknown.

$\frac{1\ yard}{36\ inches}=\frac{3\ yards}{x\ inches}$

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

$36\ inches\times 3\ yards= 1\ yard \times x\ inches$

$\frac{36\ inches\times 3\ yards}{1\ yard}= 108\ inches$

The $\yards$ $\ yards$ will cancel and we are left with $108\ inches$

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Example Question #811 : Ssat Middle Level Quantitative (Math)

How many yards are in $396\ inches?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that $1\ yard=36\ inches$ , and we can use as our unknown.

$\frac{1\ yard}{36\ inches}=\frac{x\ yards}{396\ inches}$

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

$36\ inches\times x\ yards= 1\ yard \times 396\ inches$

$11\ yards= \frac{1\ yard \times 396\ inches}{36\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $11\ yards$

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Example Question #11 : Measurement & Data

How many inches are in $20\ feet?$

Possible Answers:

236

240

520

642

287

Correct answer:

240

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{20\ feet}{x\ inches}$

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

$12\ inches\times 20\ feet= 1\ foot \times x\ inches$

$\frac{12\ inches\times 20\ feet}{1\ foot}= 240\ inches$

The $\yards$ $\ feet$ will cancel and we are left with $240\ inches$

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Example Question #12 : Measurement & Data

How many feet are in $144\ inches?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{x\ feet}{144\ inches}$

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

$12\ inches\times x\ feet= 1\ foot \times 144\ inches$

$12\ feet= \frac{1\ foot \times 144\ inches}{12\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $12\ feet$

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Example Question #13 : Measurement & Data

How many yards are in $180\ inches?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that $1\ yard=36\ inches$ , and we can use as our unknown.

$\frac{1\ yard}{36\ inches}=\frac{x\ yards}{180\ inches}$

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

$36\ inches\times x\ yards= 1\ yard \times 180\ inches$

$5\ yards= \frac{1\ yard \times 180\ inches}{36\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $5\ yards$

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Example Question #14 : Measurement & Data

How many feet are in $108\ inches?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{x\ feet}{108\ inches}$

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

$12\ inches\times x\ feet= 1\ foot \times 108\ inches$

$9\ feet= \frac{1\ foot \times 108\ inches}{12\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $9\ feet$

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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 #31 : Numbers And Operations

Example Question #142 : Numbers And Operations

Example Question #21 : How To Find A Proportion

Example Question #1 : Converting Units Of Measurement

Example Question #23 : How To Find A Proportion

Example Question #811 : Ssat Middle Level Quantitative (Math)

Example Question #11 : Measurement & Data

Example Question #12 : Measurement & Data

Example Question #13 : Measurement & Data

Example Question #14 : Measurement & Data

All SSAT Middle Level Math Resources

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