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SSAT Middle Level Math : Numbers and Operations

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

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

Possible Answers:

$1.2\textup { meters}$

$.012\textup { meters}$

$.12\textup { meters}$

$12.0\textup { meters}$

$12\textup { meters}$

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:

$1.5\textup { centimeters}$

$500\textup { centimeters}$

$50\textup { centimeters}$

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

$5\textup { centimeters}$

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

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

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 #2 : 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 #2 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many centimeters are in $17\ meters?$

Possible Answers:

170

1.7

1,700

17,000

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 #3 : 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:

$\$15.50$

$\$27.00$

$\$23.50$

$\$67.50$

$\$135.00$

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 #31 : Ratio And 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 #811 : Ssat Middle Level Quantitative (Math)

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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SSAT Middle Level Math : Numbers and Operations

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #31 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

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

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

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

Example Question #2 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #2 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #24 : How To Find A Proportion

Example Question #3 : How To Find A Proportion

Example Question #31 : Ratio And Proportion

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

All SSAT Middle Level Math Resources

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