CPT Test - College Math

CPT Testing in College Math - Problems

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

Are you required to do CPT testing in advanced math? If so, here is a free advanced math test for the CPT.

The advanced math section of the exam contains twenty questions.

This free sample is from our CPT test math download, which has 200 questions.

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

Example 2:

53 = 125 is equal to which of the following?

A. 125 = log53

B. 125 = log35

C. 5 = log3125

D. 3 = log5125

Example 3:

x−5 = ?

A. 1 − x5

B. 1 / x5

C. −1 + x5

D. −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

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CPT Testing in College Math - Solutions

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 - Calculate 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.

Solution 2:

The correct answer is D.

Logarithmic functions are just another way of expressing exponents.

Remember that:

yx is always the same as x = logy

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

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