CBEST Math Prep Questions and Answers – Complete Study Guide
& Practice Test
This document offers a comprehensive collection of CBEST Mathematics practice questions and
detailed answer explanations to help candidates prepare effectively for the California Basic
Educational Skills Test (CBEST). Coverage includes essential topics such as arithmetic, algebra,
geometry, measurement, probability, statistics, data interpretation, and problem-solving
techniques. Designed for aspiring teachers and credential candidates, this study guide provides
realistic practice exercises, test-taking strategies, and concept reviews to support exam readiness
and improve mathematical confidence.
Section 1: Estimation, Measurement & Statistical Concepts
Question 1:
A school district needs to purchase copy paper for 12 elementary schools. Each school
estimates it will use between 185 and 215 reams of paper during the school year. Which
calculation represents the most reasonable estimate for the total number of reams the
district should purchase?
A) 10 × 150 = 1,500 reams
B) 12 × 150 = 1,800 reams
C) 12 × 200 = 2,400 reams
D) 15 × 200 = 3,000 reams
E) 12 × 250 = 3,000 reams
Rationale: The midpoint of the estimate per school is 200 reams (exactly halfway
between 185 and 215). Multiplying this average estimate by the 12 schools gives 12 ×
200 = 2,400 reams.
Question 2:
The data set below shows the test scores of seven students in an algebra class:
,74, 82, 85, 85, 90, 93, 99
What is the median score of this data set?
A) 74
B) 82
C) 85
D) 86.9
E) 90
Rationale: The median is the middle value when a data set is ordered from least to
greatest. Since the 7 scores are already ordered, the 4th score is the exact middle
point, which is 85.
Question 3:
A fifth-grade teacher wants to measure the volume of liquid in a standard laboratory
beaker. Which unit of measurement is the most appropriate for this task?
A) Meters
B) Grams
C) Milliliters
D) Kilograms
E) Centimeters
Rationale: Milliliters are a standard metric unit used to measure liquid volume. Meters
and centimeters measure distance, while grams and kilograms measure mass.
Question 4:
A high school track coach records the 100-meter dash times (in seconds) for a group of
sprinters: 11.2, 11.5, 11.8, 11.8, 12.1, 12.4. What is the mode of these running times?
A) 11.2 seconds
B) 11.5 seconds
C) 11.8 seconds
D) 11.9 seconds
E) 12.4 seconds
Rationale: The mode is the value that appears most frequently in a data set. The value
11.8 appears twice, while all other times appear only once.
,Question 5:
An elementary classroom floor is shaped like a rectangle. The length of the room is 32
feet and the width is 25 feet. What is the total perimeter of the classroom floor?
A) 57 feet
B) 114 feet
C) 200 feet
D) 400 feet
E) 800 square feet
Rationale: The perimeter of a rectangle is calculated using the formula P = 2l + 2w.
Plugging in the values: P = 2(32) + 2(25) = 64 + 50 = 114 feet.
Section 2: Computation with Whole Numbers & Decimals
Question 6:
A middle school library budget of $4,500 is distributed evenly among 15 different
academic departments. How much money does each department receive?
A) $200
B) $250
C) $300
D) $350
E) $400
Rationale: Divide the total budget by the number of departments: $4,500 ÷ 15 = $300
per department.
Question 7:
Evaluate the following numerical expression:
34.56 + 124.9 - 8.123 =
A) 150.337
B) 151.243
, C) 151.337
D) 159.460
E) 167.583
Rationale: First, perform the addition: 34.56 + 124.90 = 159.46. Next, subtract the third
value: 159.460 - 8.123 = 151.337.
Question 8:
A physical education teacher buys 24 new soccer balls for the school. Each soccer ball
costs $18.75, including tax. What is the total cost of the purchase?
A) $420.00
B) $432.00
C) $450.00
D) $468.00
E) $480.00
Rationale: Multiply the quantity by the individual cost: 24 × $18.75 = $450.00.
Question 9:
A school cafeteria serves 480 lunches on Monday. On Tuesday, the number of lunches
served increases by exactly 15%. How many lunches were served on Tuesday?
A) 72 lunches
B) 515 lunches
C) 552 lunches
D) 560 lunches
E) 632 lunches
Rationale: First, find 15% of 480: 480 × 0.15 = 72. Then, add this increase to Monday's
baseline: 480 + 72 = 552 lunches.
Question 10:
A student scores an 85, 92, 78, and 97 on four consecutive history exams. What is the
student's average (arithmetic mean) exam score?
A) 85
& Practice Test
This document offers a comprehensive collection of CBEST Mathematics practice questions and
detailed answer explanations to help candidates prepare effectively for the California Basic
Educational Skills Test (CBEST). Coverage includes essential topics such as arithmetic, algebra,
geometry, measurement, probability, statistics, data interpretation, and problem-solving
techniques. Designed for aspiring teachers and credential candidates, this study guide provides
realistic practice exercises, test-taking strategies, and concept reviews to support exam readiness
and improve mathematical confidence.
Section 1: Estimation, Measurement & Statistical Concepts
Question 1:
A school district needs to purchase copy paper for 12 elementary schools. Each school
estimates it will use between 185 and 215 reams of paper during the school year. Which
calculation represents the most reasonable estimate for the total number of reams the
district should purchase?
A) 10 × 150 = 1,500 reams
B) 12 × 150 = 1,800 reams
C) 12 × 200 = 2,400 reams
D) 15 × 200 = 3,000 reams
E) 12 × 250 = 3,000 reams
Rationale: The midpoint of the estimate per school is 200 reams (exactly halfway
between 185 and 215). Multiplying this average estimate by the 12 schools gives 12 ×
200 = 2,400 reams.
Question 2:
The data set below shows the test scores of seven students in an algebra class:
,74, 82, 85, 85, 90, 93, 99
What is the median score of this data set?
A) 74
B) 82
C) 85
D) 86.9
E) 90
Rationale: The median is the middle value when a data set is ordered from least to
greatest. Since the 7 scores are already ordered, the 4th score is the exact middle
point, which is 85.
Question 3:
A fifth-grade teacher wants to measure the volume of liquid in a standard laboratory
beaker. Which unit of measurement is the most appropriate for this task?
A) Meters
B) Grams
C) Milliliters
D) Kilograms
E) Centimeters
Rationale: Milliliters are a standard metric unit used to measure liquid volume. Meters
and centimeters measure distance, while grams and kilograms measure mass.
Question 4:
A high school track coach records the 100-meter dash times (in seconds) for a group of
sprinters: 11.2, 11.5, 11.8, 11.8, 12.1, 12.4. What is the mode of these running times?
A) 11.2 seconds
B) 11.5 seconds
C) 11.8 seconds
D) 11.9 seconds
E) 12.4 seconds
Rationale: The mode is the value that appears most frequently in a data set. The value
11.8 appears twice, while all other times appear only once.
,Question 5:
An elementary classroom floor is shaped like a rectangle. The length of the room is 32
feet and the width is 25 feet. What is the total perimeter of the classroom floor?
A) 57 feet
B) 114 feet
C) 200 feet
D) 400 feet
E) 800 square feet
Rationale: The perimeter of a rectangle is calculated using the formula P = 2l + 2w.
Plugging in the values: P = 2(32) + 2(25) = 64 + 50 = 114 feet.
Section 2: Computation with Whole Numbers & Decimals
Question 6:
A middle school library budget of $4,500 is distributed evenly among 15 different
academic departments. How much money does each department receive?
A) $200
B) $250
C) $300
D) $350
E) $400
Rationale: Divide the total budget by the number of departments: $4,500 ÷ 15 = $300
per department.
Question 7:
Evaluate the following numerical expression:
34.56 + 124.9 - 8.123 =
A) 150.337
B) 151.243
, C) 151.337
D) 159.460
E) 167.583
Rationale: First, perform the addition: 34.56 + 124.90 = 159.46. Next, subtract the third
value: 159.460 - 8.123 = 151.337.
Question 8:
A physical education teacher buys 24 new soccer balls for the school. Each soccer ball
costs $18.75, including tax. What is the total cost of the purchase?
A) $420.00
B) $432.00
C) $450.00
D) $468.00
E) $480.00
Rationale: Multiply the quantity by the individual cost: 24 × $18.75 = $450.00.
Question 9:
A school cafeteria serves 480 lunches on Monday. On Tuesday, the number of lunches
served increases by exactly 15%. How many lunches were served on Tuesday?
A) 72 lunches
B) 515 lunches
C) 552 lunches
D) 560 lunches
E) 632 lunches
Rationale: First, find 15% of 480: 480 × 0.15 = 72. Then, add this increase to Monday's
baseline: 480 + 72 = 552 lunches.
Question 10:
A student scores an 85, 92, 78, and 97 on four consecutive history exams. What is the
student's average (arithmetic mean) exam score?
A) 85
