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SSAT Middle Level Math : Ratio and Proportion

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

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

Example Questions

Example Question #812 : Ssat Middle Level Quantitative (Math)

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 #3 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many inches are in $6\ yards?$

Possible Answers:

246

200

304

232

216

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 #4 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many inches are in $3\ yards?$

Possible Answers:

112

108

116

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 #4 : Converting Units Of Measurement

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 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many inches are in $20\ feet?$

Possible Answers:

287

642

520

240

236

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 #11 : Converting Units Of Measurement

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 #12 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

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 #13 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

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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Example Question #14 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many inches are in $7\ yards?$

Possible Answers:

290

252

240

242

255

Correct answer:

252

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ yard}{36\ inches}=\frac{7\ yards}{x\ inches}$

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

$36\ inches\times 7\ yards= 1\ yard \times x\ inches$

$\frac{36\ inches\times 7\ yards}{1\ yard}= 252\ inches$

The $\yards$ $\ yards$ will cancel and we are left with $252\ inches$

Report an Error

Example Question #12 : Converting Units Of Measurement

How many inches are in $2\ yards?$

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.

$\frac{1\ yard}{36\ inches}=\frac{2\ yards}{x\ inches}$

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

$36\ inches\times 2\ yards= 1\ yard \times x\ inches$

$\frac{36\ inches\times 2\ yards}{1\ yard}= 72\ inches$

The $\yards$ $\ yards$ will cancel and we are left with $72\ inches$

Report an Error

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All SSAT Middle Level Math Resources

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SSAT Middle Level Math : Ratio and Proportion

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #812 : Ssat Middle Level Quantitative (Math)

Example Question #3 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #4 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #4 : Converting Units Of Measurement

Example Question #11 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #11 : Converting Units Of Measurement

Example Question #12 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #13 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #14 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #12 : Converting Units Of Measurement

All SSAT Middle Level Math Resources

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