CBEST Questions – Measurement, Estimation & Statistics
Here are some free sample CBEST questions for the measurement, estimation, and statistics part of the Math Test.
The answers to the questions are provided at the bottom of the page:
These CBEST problems are from our CBEST Math Practice Tests Instant Download.
You may also want to try our other questions on graphs and problems solving.
Question 1: Anne has taken a standardized college entrance exam. Use the report of her test scores below to answer the question that follows.
Raw Score Part 1: 180
Raw Score Part 2: 230
Mean: 205
Standard Deviation: 15
Percentile: 78
Which of the following is a correct interpretation of the score report given above?
A. Ann scored as well as or better than 78% of the test takers.
B. Ann scored as well as or better than 85% of the test takers.
C. 15% of the test takers scored higher than Ann.
D. Ann answered 205 of the questions correctly.
E. Ann answered 420 of the questions correctly.
Comment: This question involves an interpretation of standardized test scores. The Math Test will have several questions covering the calculation or interpretation of test scores.
Tip: For this type of question, remember that “mean” is the average score. When questions have a percentile in the data, remember that percentile is the percentage of test takers scoring less than or as well as the student who has taken the test.
Question 2: One hundred students have taken an English test. The 55 female students in the class had an average score of 87, while the 45 male students in the class had an average of 80. What is the average test score for all 100 students in the class?
A. 82.00
B. 83.15
C. 83.50
D. 83.85
E. 84.00
Comment: This question also involves the calculation of test scores. As stated previously, the Math Test will have several questions about test scores.
Tip: For this type of question, determine the total number of points for the entire class first: multiply 55 by 87, which equals 4785, and 45 by 80, which equals 3600. To answer the question, add 4785 and 3600, then divide by 100, which is the number of students in the class.
Question 3: The owner of a carnival attraction launches toy boats of different colors. There are 15 boats in total: 5 are blue, 3 are red, and 7 are green. If the first boat launched is green, and the next boat launched is selected at random, what is the probability that the next boat is blue?
A. 5/14
B. 6/14
C. 5/15
D. 4/15
E. 10/15
Comment: To answer this type of CBEST question, you must understand the basic principles of probability. The Math Test will normally have one or two probability questions.
Tip: To answer this type of question, calculate the denominator (the lower number of the fraction) first. The denominator is 14, which is the 15 original items minus the item already taken from the group.
Then to answer the question, determine the numerator (the top number of the fraction). The question is asking about blue items. Since the question indicates that a blue item has not already been drawn, you need to use the original amount of blue items as your numerator.
Question 4: Mary wants to put new vinyl flooring in her kitchen. She will buy the flooring in square pieces that measure 1 square foot each. A diagram of her kitchen is given below:
The cupboards are two feet deep from front to back. Flooring will not be put under the cupboards. How many pieces of vinyl will Mary need to cover her floor?
A. 84
B. 70
C. 88
D. 96
E. 120
Comment: To answer this type of question, you must understand the basic principles of measurement. The Math Test will have several questions on length, perimeter, area, and other units of measurement.
Tip: To answer this CBEST question, calculate the area of the entire kitchen, which is 8 feet times 12 feet for this particular question.
Then to answer the question, calculate and deduct the area of the cupboard from the total area, remembering not to double count the corner area of the cupboard.
Question 5: Estimate the result of the following: 504 ÷ 49.9
A. 8
B. 9
C. 10
D. 11
E. 12
Comment: This question is an estimation type of question. Approximately 30% of the questions on the Math Test involve estimating, measuring, or statistical principles.
Tip: For this type of question, remember to round the numbers up or down to make the question easier to answer. So 504 is rounded to 500, and 49.9 is rounded to 50. Then to answer the question, do the division.
Answers to the CBEST Questions:
1. A
2. D
3. A
4. B
5. C