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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 #41 : How To Find A Ratio

A motorcycle travels $180\ miles$ in $3\ hours$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

90mph

72mph

30mph

66mph

60mph

Correct answer:

60mph

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$180\ miles: 3\ hours=\frac{180\ miles}{3\ hours}$

Reduce and solve.

60mph

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Example Question #12 : Ratios & Proportional Relationships

A motorcycle travels $360\ miles$ in $8\ hours$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

47mph

54mph

55mph

34mph

45mph

Correct answer:

45mph

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$360\ miles: 8\ hours=\frac{360\ miles}{8\ hours}$

Reduce and solve.

45mph

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Example Question #701 : Ssat Middle Level Quantitative (Math)

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$12\ \text{managers}$

$8\ \text{managers}$

$10\ \text{managers}$

$2\ \text{managers}$

$6\ \text{managers}$

Correct answer:

$10\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $25\ \text{workers}$ .

Table

The factory will need $10\ \text{managers}$ .

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Example Question #702 : Ssat Middle Level Quantitative (Math)

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$4\ \text{managers}$

$1\ \text{manager}$

$6\ \text{managers}$

$2\ \text{managers}$

$8\ \text{managers}$

Correct answer:

$2\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $5\ \text{workers}$ .

Table

The factory will need $2\ \text{managers}$ .

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Example Question #44 : How To Find A Ratio

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$3\ \text{managers}$

$8\ \text{managers}$

$5\ \text{managers}$

$4\ \text{managers}$

$6\ \text{managers}$

Correct answer:

$6\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $15\ \text{workers}$ .

Table

The factory will need $6\ \text{managers}$ .

Report an Error

Example Question #45 : How To Find A Ratio

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$4\ \text{managers}$

$1\ \text{manager}$

$6\ \text{managers}$

$3\ \text{managers}$

$2\ \text{managers}$

Correct answer:

$4\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $10\ \text{workers}$ .

Table

The factory will need $4\ \text{managers}$ .

Report an Error

Example Question #41 : Numbers And Operations

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$18\ \text{managers}$

$26\ \text{managers}$

$23\ \text{managers}$

$20\ \text{managers}$

$24\ \text{managers}$

Correct answer:

$24\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $60\ \text{workers}$ .

Table

The factory will need $24\ \text{managers}$ .

Report an Error

Example Question #42 : Numbers And Operations

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$18\ \text{managers}$

$13\ \text{managers}$

$14\ \text{managers}$

$17\ \text{managers}$

$16\ \text{managers}$

Correct answer:

$18\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $45\ \text{workers}$ .

Table

The factory will need $18\ \text{managers}$ .

Report an Error

Example Question #41 : Numbers And Operations

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$6\ \text{managers}$

$8\ \text{managers}$

$7\ \text{managers}$

$4\ \text{managers}$

Correct answer:

$8\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $20\ \text{workers}$ .

Table

The factory will need $8\ \text{managers}$ .

Report an Error

Example Question #32 : Ratios & Proportional Relationships

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$16\ \text{managers}$

$20\ \text{managers}$

$18\ \text{managers}$

$19\ \text{managers}$

$21\ \text{managers}$

Correct answer:

$20\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $50\ \text{workers}$ .

Table

The factory will need $20\ \text{managers}$ .

Report an Error

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All SSAT Middle Level Math Resources

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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 #41 : How To Find A Ratio

Example Question #12 : Ratios & Proportional Relationships

Example Question #701 : Ssat Middle Level Quantitative (Math)

Example Question #702 : Ssat Middle Level Quantitative (Math)

Example Question #44 : How To Find A Ratio

Example Question #45 : How To Find A Ratio

Example Question #41 : Numbers And Operations

Example Question #42 : Numbers And Operations

Example Question #41 : Numbers And Operations

Example Question #32 : Ratios & Proportional Relationships

All SSAT Middle Level Math Resources

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