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SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

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

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All SSAT Upper Level Math Resources

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Example Questions

Example Question #271 : Ssat Upper Level Quantitative (Math)

If you have a circular yard and need to put up a fence around the outside, you would use the formula $\pi r^{2}$ to figure out the amount of fence you need.

Possible Answers:

True

False

Correct answer:

False

Explanation:

To figure out the amount of the fence around a circular yard, you need to find the circumference of the yard. The equation for the circumference of a cirle is $2\pi r$ and not $\pi r^{2}$ .

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Example Question #272 : Ssat Upper Level Quantitative (Math)

Find the circumference of a circle with a diameter of 12.

Possible Answers:

$24\Pi$

$6\Pi$

$18\Pi$

$12\Pi$

Correct answer:

$12\Pi$

Explanation:

There are two possible formulas for finding the circumference of a circle. They are as follows:

$C=2\Pi \cdot r$

And:

$C=\Pi \cdot d$

Where C is circumference, r is radius, and d is diameter.

For this problem, we are given the diameter is 12, meaning we can plug our numbers into the second equation. Since pi is an irrational constant, it is okay to leave the answer in terms of pi.

$C=\Pi \cdot 12= 12\Pi$

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Example Question #273 : Ssat Upper Level Quantitative (Math)

Find the circumference of a circle with a diameter of 6.

Possible Answers:

$6\Pi$

$12\Pi$

$3\Pi$

$36\Pi$

Correct answer:

$6\Pi$

Explanation:

There are two possible formulas for finding the circumference of a circle. They are as follows:

$C=2\Pi \cdot r$

And:

$C=\Pi \cdot d$

Where C is circumference, r is radius, and d is diameter.

For this problem, we are given the diameter is 6, meaning we can plug our numbers into the second equation. Since pi is an irrational constant, it is okay to leave the answer in terms of pi.

$C=\Pi \cdot 6= 6\Pi$

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Example Question #51 : Geometry

Find the circumference of a circle with a diameter of 2.

Possible Answers:

$2\Pi$

$4\Pi$

$\Pi$

Correct answer:

$2\Pi$

Explanation:

There are two possible formulas for finding the circumference of a circle. They are as follows:

$C=2\Pi \cdot r$

And:

$C=\Pi \cdot d$

Where C is circumference, r is radius, and d is diameter.

For this problem, we are given the diameter is 2, meaning we can plug our numbers into the second equation. Since pi is an irrational constant, it is okay to leave the answer in terms of pi.

$C=\Pi \cdot 2= 2\Pi$

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Example Question #52 : Geometry

Find the circumference of a circle with a radius of 12.

Possible Answers:

$144\Pi$

$12\Pi$

$24\Pi$

$6\Pi$

Correct answer:

$24\Pi$

Explanation:

There are two possible formulas for finding the circumference of a circle. They are as follows:

$C=2\Pi \cdot r$

And:

$C=\Pi \cdot d$

Where C is circumference, r is radius, and d is diameter.

For this problem, we are given the radius is 12, meaning we can plug our numbers into the first equation. Since pi is an irrational constant, it is okay to leave the answer in terms of pi.

$C=\Pi \cdot 2 \cdot 12= 24\Pi$

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Example Question #53 : Geometry

Find the circumference of a circle with a radius of 13.

Possible Answers:

$169\Pi$

$26\Pi$

$13\Pi$

$39\Pi$

Correct answer:

$26\Pi$

Explanation:

There are two possible formulas for finding the circumference of a circle. They are as follows:

$C=2\Pi \cdot r$

And:

$C=\Pi \cdot d$

Where C is circumference, r is radius, and d is diameter.

For this problem, we are given the radius is 13, meaning we can plug our numbers into the first equation. Since pi is an irrational constant, it is okay to leave the answer in terms of pi.

$C=\Pi \cdot 2 \cdot 13= 26\Pi$

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Example Question #54 : Geometry

Find the circumference of a circle with a radius of 27.

Possible Answers:

$9\Pi$

$54\Pi$

$27\Pi$

$12\Pi$

Correct answer:

$54\Pi$

Explanation:

There are two possible formulas for finding the circumference of a circle. They are as follows:

$C=2\Pi \cdot r$

And:

$C=\Pi \cdot d$

Where C is circumference, r is radius, and d is diameter.

For this problem, we are given the radius is 27, meaning we can plug our numbers into the first equation. Since pi is an irrational constant, it is okay to leave the answer in terms of pi.

$C=\Pi \cdot 2 \cdot 27= 54\Pi$

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Example Question #2 : How To Find The Equation Of A Line

Given the graph of the line below, find the equation of the line.

Act_math_160_04

Possible Answers:

y=x-4

y=-x

y=-5x-4

$y=\frac{10}{3}x-4$

Correct answer:

$y=\frac{10}{3}x-4$

Explanation:

To solve this question, you could use two points such as (1.2,0) and (0,-4) to calculate the slope which is 10/3 and then read the y-intercept off the graph, which is -4.

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Example Question #2 : Coordinate Geometry

Which line passes through the points (0, 6) and (4, 0)?

Possible Answers:

y = 2/3x –6

y = 2/3 + 5

y = 1/5x + 3

y = –3/2 – 3

y = –3/2x + 6

Correct answer:

y = –3/2x + 6

Explanation:

P₁ (0, 6) and P₂ (4, 0)

First, calculate the slope: m = rise ÷ run = (y₂ – y₁)/(x₂– x₁), so m = –3/2

Second, plug the slope and one point into the slope-intercept formula:

y = mx + b, so 0 = –3/2(4) + b and b = 6

Thus, y = –3/2x + 6

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Example Question #3 : Coordinate Geometry

What line goes through the points (1, 3) and (3, 6)?

Possible Answers:

–3x + 2y = 3

2x – 3y = 5

4x – 5y = 4

–2x + 2y = 3

3x + 5y = 2

Correct answer:

–3x + 2y = 3

Explanation:

If P₁(1, 3) and P₂(3, 6), then calculate the slope by m = rise/run = (y₂ – y₁)/(x₂ – x₁) = 3/2

Use the slope and one point to calculate the intercept using y = mx + b

Then convert the slope-intercept form into standard form.

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SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #271 : Ssat Upper Level Quantitative (Math)

Example Question #272 : Ssat Upper Level Quantitative (Math)

Example Question #273 : Ssat Upper Level Quantitative (Math)

Example Question #51 : Geometry

Example Question #52 : Geometry

Example Question #53 : Geometry

Example Question #54 : Geometry

Example Question #2 : How To Find The Equation Of A Line

Example Question #2 : Coordinate Geometry

Example Question #3 : Coordinate Geometry

All SSAT Upper Level Math Resources

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