So, let’s quit the math talk and give it a try. Are you ready? Get your pen and paper and see how well you can play this game. Once you have your answers, write them down and check against the answers and explanations below (click or tap on your phone).
WarningPlease do keep in mind that we can’t guarantee the accuracy of this quiz, so we do recommend you also run through a full-length practice exam. The CollegeBoard offers a good one that we’ll share in the resources section below.
Question 1. Which of the following is the converse to the statement “All footballers are rich people”
a. Some footballers are poor
b. All rich people are footballers
c. Rich people must not be footballers
d. Some poor people are footballers
In logic, the converse of a statement is a result of reversing its two parts i.e. If W implies X then the converse will be X implies W. So, applying that to our statement, we just need to reverse the two parts of the statement to give “All rich people are footballers”
Question 2. What is the largest real number less than 20?
b. There is no largest real number less than 20
d. None of the above
Very tricky a question. At the first glance, you might want to choose 19. Then on a second thought you might think it’s C). But hey! The largest real number less than 20 and C) says it continues on and on. That simply tells you it goes on to infinity and thus there is real no real number less than 20.
Question 3. What are the X- and the Y- intercepts of this equation: 4X + 16Y = 32
a. X=8 Y=2
b. X=2 Y=8
c. X=0 Y=0
d. X=4 Y=16
The X- intercept is gotten by setting Y=0 and solving for X which gives you 8.
Similarly, the Y- intercept is gotten by setting X=0 and solving for Y which gives Y=2.
Question 4. If A= (2,4,8,15) and B= (3,6,10,12) how many elements are in the union of A and B?
The union of sets A and B involves “bringing the elements of both sets together”. Thus, doing that will give you 8.
Question 5. Which of the following sets is the biggest?
a. Rational numbers
b. Real numbers
c. Irrational numbers
d. Complex numbers
You will quickly go for option A). But it probably did not come quickly to your mind that complex numbers are composed of two parts- the real part and the imaginary part. So, you see. All the other options are real numbers and real numbers are a part of complex numbers. This thus crowns the set of complex numbers the largest set of numbers.
Question 6. Two fair coins are tossed at the same time. What is the probability of getting just one head?
When 2 coins are tossed, the possible outcomes are (TH, HT, TT, HH), where H is Head and T is Tail. So, the total number of outcomes are 4. To get just one head will mean having either HT or TH outcomes. Thus, the desired number of outcomes becomes 2. So, the probability of getting just one head will be gotten by dividing the total number of outcomes by the desired number of outcomes. Doing that gives you 2/4 which results to 1/2.
Question 7. Jane had the following scores in ten different mathematics tests she wrote during the first semester: 14.5, 12, 08, 06, 15, 18, 12.5, 20, 16, 15.
What is her mean score?
This type of questions should be the questions you smile when you read through. You just need to get the mean of those set of values given by sum of values divided by total number of values. The sum of values is 137 and the total number of values (total number of test scores) is 10. Doing a division of 137 by 10 gives you 13.7. Easy, right? More also you have the scientific calculator which will be a matter of seconds to input the data and punch to get your answer.
Question 8. Two circles A and B have radii r and 2r respectively. What can you say about the two circles?
a. The circumference of B is two times the circumference of A
b. They have the same areas.
c. They have the same circumferences
d. The area of B is two times the area of A
This question simply tests your knowledge of the formula for the area and circumference of a circle. The radius of B is twice that of A. So, fitting that into the formulas for circumference and area of a circle, B has twice the circumference of A and four times the area of A.
Question 9. A sum of $25000 became $27250 at the end of 3 years when calculated at simple interest. What was the rate of interest?
Again, just an application of formula. Simple interest is given by principal x rate/100. So, in this question, you just need to make “rate” the subject of the formula. So, deducing the simple interest to be $27250-$25000 gives $2250. Then you just do some little manipulations getting the rate as the subject of the formula and having your result to be 3%.
Question 10. Batman and Superman took five hours to smash a building to pieces. How long will it take Batman and Superman do smash five buildings similar to the one they first smashed?
More CLEP Study Resources
Looking for a study guide to fill a couple gaps, or just want a full length practice exam? You can find a few of my favorite resources below. Note that some of the links are affiliate – meaning I’ll make a few dollars if you purchase, but I’m only sharing those resources that were genuinely helpful during my own CLEP journey.
Official CLEP Study Guide: It’s quite short on the study side of things, but this is the go-to practice test bank. I don’t think I’ve done a single CLEP test without taking the practice test in this book first.
REA CLEP College Mathematics: I’m not huge on reading, but this book series is fantastic if you’re into that kind of thing. It also includes some nifty online practice tests, though I always found the official practice tests more reassuring.
InstantCert Academy: The website looks like it was made before the internet, but it’s legitimately the single most useful study guide I’ve found. Basically it’s a series of flashcards that help you learn about College Mathematics in a fast paced and fun way.
Plenty of other resources exist – just do a quick internet search – but these are the three that I’ve personally found the most helpful back when I did CLEP.