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CPT Testing - Advanced Math

Are you taking CPT Testing in Advanced Math? Here is a free advanced math testing sample for the CPT.

As part of your CPT testing, your college may ask you to take the college placement test in advanced math.

The advanced math section of the CPT Test contains twenty questions.

Our online CPT tests contain advanced math questions just like those on the real college placement test.

Here is a free sample from our CPT Practice Tests download in Advanced Math:

Example 1:

Consider a right-angled triangle, where side X and side Y form the right angle, and side Z is the hypotenuse. If X = 3 and Y = 4, what is the length of side Z?

A. 2

B. 3

C. 4

D. 5

Solution 1:

The correct answer is D.

The length of the hypotenuse is always the square root of the sum of the squares of the other two sides of the triangle:

Step 1 - Caluclate the sum of the squares of sides X and Y.

So for X = 3 and Y = 4:

3² + 4² =

9 + 16 =

25

Step 2 - Take the square root of the above number to get the hypotenuse length:

The square root of 25 is 5.

Example 2:

5³ = 125 is equal to which of the following?

A. 125 = log₅3

B. 125 = log₃5

C. 5 = log₃125

D. 3 = log₅125

Solution 2:

The correct answer is D.

Logarithmic functions are just another way of expressing exponents.

Remember that:

y^x is always the same as x = log_y

Example 3:

x^-5 = ?

A. 1 - x⁵

B. 1 / x⁵

C. -1 + x⁵

D. -1 - x⁵

Solution 3:

The correct answer is B.

Remember that a negative exponent is always equal to 1 divided by the variable:

Therefore:

x^-5 = 1 / x⁵

Example 4:

For the following equation, i represents an imaginary number.

(6 - 3i) - (-2 - i) = ?

A. 4 - 4i

B. 8 - 4i

C. 8 - 2i

D. 8 + 2i

Solution 4:

The correct answer is C.

To solve this type of problem, do the operations on the parentheses first:

REMEMBER: Two negatives together make a positive.

(6 - 3i) - (-2 - i) = 6 - 3i + 2 + i

Then group the real and imaginary numbers together:

6 - 3i + 2 + i =

6 + 2 - 3i + i =

8 - 2i

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