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SSAT Middle Level Math : How to find a proportion

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

How many centimeters are in $7\ meters?$

Possible Answers:

7,000

700

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

How many centimeters are in $9\ meters?$

Possible Answers:

9,000

900

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

How many centimeters are in $17\ meters?$

Possible Answers:

170

17,000

1,700

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 #21 : How To Find A Proportion

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:

$\$15.50$

$\$135.00$

$\$27.00$

$\$23.50$

$\$67.50$

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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Example Question #22 : How To Find A Proportion

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 #1 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

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 #2 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

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 #23 : How To Find A Proportion

How many inches are in $6\ yards?$

Possible Answers:

216

200

246

232

304

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

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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SSAT Middle Level Math : How to find a proportion

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

All SSAT Middle Level Math Resources

Example Questions

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

Example Question #6 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #7 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #24 : How To Find A Proportion

Example Question #21 : How To Find A Proportion

Example Question #22 : How To Find A Proportion

Example Question #1 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Example Question #2 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Example Question #23 : How To Find A Proportion

Example Question #9 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

All SSAT Middle Level Math Resources

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