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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

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Example Questions

Example Question #36 : Measurement & Data

How many $\textup{centimeters}$ are in $13\textup { meters?}$

Possible Answers:

$1\textup,300\textup { centimeters}$

$.0013\textup { centimeters}$

$1.3\textup{ centimeters}$

$130\textup { centimeters}$

$13\textup,000\textup { centimeters}$

Correct answer:

$1\textup,300\textup { centimeters}$

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{13\ meters}$

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

$1\ centimeter\times 13\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 13\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $1,300\ centimeters$

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Example Question #63 : How To Find A Proportion

$\frac{A}{B} = \frac{9}{7}$

$\frac{A +B}{B} = ?$

Possible Answers:

$\frac{9}{16}$

$\frac{7}{16}$

$\frac{16}{9}$

$\frac{16}{7}$

Correct answer:

$\frac{16}{7}$

Explanation:

By a proportion property, if $\frac{A}{B} = \frac{C}{D}$ , it follows that $\frac{A+B}{B} = \frac{C+ D}{D}$ .

Setting C= 9, D = 7 ,

if $\frac{A}{B} = \frac{9}{7}$ , then $\frac{A +B}{B} = \frac{9+7 }{7} = \frac{16}{7}$ .

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Example Question #62 : How To Find A Proportion

Melissa ran sprints for $180\textup{ seconds}$ , and Megan ran sprints for $5\textup { minutes}$ . How many more minutes did Megan run than Jessica?

Possible Answers:

$2\textup { minutes}$

$6\textup { minutes}$

$5\textup { minutes}$

$3\textup { minutes}$

$4\textup { minutes}$

Correct answer:

$2\textup { minutes}$

Explanation:

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

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

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

Then we can divide to isolate the .

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

x=3min

Now we need to subtract to find our difference.

5min-3min=2min

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Example Question #63 : How To Find A Proportion

Megan studied for $120\textup { minutes}$ everyday from Monday-Friday. How many total hours did she spend studying?

Possible Answers:

$13\textup { hours}$

$11\textup { hours}$

$10\textup { hours}$

$12\textup { hours}$

$14\textup { hours}$

Correct answer:

$10\textup { hours}$

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.

$\frac{1hr}{60min}=\frac{x}{120min}$

60min(x)=120min(1hr)

Then we can divide to isolate the .

$\frac{60min(x)}{60min}=\frac{120min(1hr)}{60min}$

x=2hr

Now we need to multiply $2\times5$ because Megan studied for hours each day.

$2hr\times5=10hr$

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Example Question #851 : Ssat Middle Level Quantitative (Math)

How many $\textup{meters}$ are in $10\textup{ centimeters?}$

Possible Answers:

$.01\textup { meter}$

$.1\textup { meter}$

$1\textup { meter}$

$.001\textup { meter}$

$10\textup { meters}$

Correct answer:

$.1\textup { meter}$

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ centimeter}{.01\ meter}=\frac{10\ centimeters}{x\ meters}$

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

$1\ centimeter\times x\ meters=.01\ meter\times10\ centimeters$

$x\ meters=\frac{.01\ meter\times 10\ centimeters}{1\ centimeter}$

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

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Example Question #852 : Ssat Middle Level Quantitative (Math)

How many $\textup{ meters}$ are in $3\textup{ centimeters?}$

Possible Answers:

$.03\textup { meters}$

$3\textup { meters}$

$30\textup { meters}$

$300\textup { meters}$

$.003\textup { meters}$

Correct answer:

$.03\textup { meters}$

Explanation:

To solve this problem we can make proportions.

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

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

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

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

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

The centimeters will cancel and we are left with $.03\ meters$

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Example Question #853 : Ssat Middle Level Quantitative (Math)

Sarah, Robert, and Tristen each had the same number of cookies. Given the information below, which of the following could be the number of cookies each child had?

Sarah put her cookies into groups of 6 with none left over.

Robert put his cookies into groups 3 with none left over.

Tristen put his cookies into groups of 4 with none left over.

Possible Answers:

Correct answer:

Explanation:

This question is simply asking which number is divisible by 3, 4 and 6 with none left over. The only number that has 3, 4, and 6 as factors is 24.

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Example Question #854 : Ssat Middle Level Quantitative (Math)

Angela bought $\frac{1}{4}$ of a pound of candy for $4.00. What was the price per pound?

Possible Answers:

$\$8.00$

$\$10.00$

$\$16.00$

$\$1.00$

$\$2.00$

Correct answer:

$\$16.00$

Explanation:

If $\frac{1}{4}$ of a pound of candy costs $4 then the price of a full pound will be 4 times as much. Thus 4 times $4 is $16.

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Example Question #855 : Ssat Middle Level Quantitative (Math)

500 is two-fifths of what number?

Possible Answers:

1,200

1,000

200

400

1,250

Correct answer:

1,250

Explanation:

Let be the number desired. The question can be rewritten as the multiplication statement:

$\frac{2}{5} \cdot N = 500$

Solve:

$\frac{5} {2}\cdot \frac{2}{5} \cdot N =\frac{5} {2}\cdot 500$

$N =\frac{2,500} {2}=1,250$

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Example Question #856 : Ssat Middle Level Quantitative (Math)

Which of the following numbers is divisible by 9 without a remainder?

Possible Answers:

710

709

712

708

711

Correct answer:

711

Explanation:

A number is divisible by 9 without a remainder when each of its digits add up to a number that is divisble by 9. When looking at the number 711, we can see that:

7+1+1=9

Given that 9 is divisble by 9, (equlaing 1, no remainder), 711 is divisble by 9.

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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 #36 : Measurement & Data

Example Question #63 : How To Find A Proportion

Example Question #62 : How To Find A Proportion

Example Question #63 : How To Find A Proportion

Example Question #851 : Ssat Middle Level Quantitative (Math)

Example Question #852 : Ssat Middle Level Quantitative (Math)

Example Question #853 : Ssat Middle Level Quantitative (Math)

Example Question #854 : Ssat Middle Level Quantitative (Math)

Example Question #855 : Ssat Middle Level Quantitative (Math)

Example Question #856 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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