NORTH CAROLINA PRAXIS CORE MATHEMATICS –QUESTIONS AND CORRECT ANSWERS (VERIFIED
ANSWERS) PLUS RATIONALES 2026 Q&A | INSTANT DOWNLOAD PDF.
*Core Domains*
*Number and Quantity*
*Data Interpretation*
*Algebraic Thinking*
*Statistics*
*Probability*
*Geometry*
*Measurement*
*Ratio and Proportion*
*Introduction*
*The purpose of this assessment is to evaluate the essential mathematical skills and knowledge requir
Section One: Questions 1–100
1. A teacher is organizing a field trip and needs to calculate the total cost. If the bus rental is $450 and each
of the 32 students must pay $15 for admission, what is the total cost of the trip?
A. $480
B. $910
🟢 Correct Answer: C. $930
D. $1,050
,🔴 RATIONALE: The total cost is the sum of the fixed bus rental and the variable admission costs. Calculated
as $450 + (32 × $15) = $450 + $480 = $930.
2. Which of the following numbers is irrational?
A. 0.333...
🟢 Correct Answer: B. Square root of 7
C. 5/8
D. Square root of 16
🔴 RATIONALE: An irrational number cannot be expressed as a simple fraction. The square root of 7 is a non-
terminating, non-repeating decimal, whereas the others are rational.
3. Solve for x: 3(x - 4) = 2x + 5
A. x = 9
B. x = 12
C. x = 15
🟢 Correct Answer: D. x = 17
🔴 RATIONALE: Expanding the left side gives 3x - 12 = 2x + 5. Subtracting 2x from both sides results in x - 12
= 5. Adding 12 to both sides gives x = 17.
4. A scale on a map indicates that 1 inch equals 50 miles. If two cities are 3.5 inches apart on the map, what
is the actual distance between them?
🟢 Correct Answer: A. 175 miles
B. 150 miles
C. 185 miles
D. 200 miles
🔴 RATIONALE: Using the proportion 1/50 = 3.5/x, multiply 3.5 by 50 to get 175 miles.
, 5. What is the median of the following data set: 12, 15, 9, 22, 18, 17, 11?
A. 14
🟢 Correct Answer: B. 15
C. 16
D. 17
🔴 RATIONALE: To find the median, order the numbers: 9, 11, 12, 15, 17, 18, 22. The middle value in this set
of seven numbers is 15.
6. If a rectangular classroom has a length of 30 feet and a perimeter of 100 feet, what is the width of the
room?
A. 15 feet
🟢 Correct Answer: B. 20 feet
C. 25 feet
D. 40 feet
🔴 RATIONALE: Perimeter P = 2(length + width). 100 = 2(30 + w) -> 50 = 30 + w -> w = 20 feet.
7. A bag contains 4 red marbles, 6 blue marbles, and 2 green marbles. What is the probability of randomly
selecting a marble that is NOT blue?
A. 1/3
🟢 Correct Answer: B. 1/2
C. 2/3
D. 1/6
🔴 RATIONALE: There are 12 total marbles. The number of marbles that are not blue (red and green) is 4 + 2
= 6. The probability is 6/12, which simplifies to 1/2.
8. Which expression represents "five less than twice a number n"?
ANSWERS) PLUS RATIONALES 2026 Q&A | INSTANT DOWNLOAD PDF.
*Core Domains*
*Number and Quantity*
*Data Interpretation*
*Algebraic Thinking*
*Statistics*
*Probability*
*Geometry*
*Measurement*
*Ratio and Proportion*
*Introduction*
*The purpose of this assessment is to evaluate the essential mathematical skills and knowledge requir
Section One: Questions 1–100
1. A teacher is organizing a field trip and needs to calculate the total cost. If the bus rental is $450 and each
of the 32 students must pay $15 for admission, what is the total cost of the trip?
A. $480
B. $910
🟢 Correct Answer: C. $930
D. $1,050
,🔴 RATIONALE: The total cost is the sum of the fixed bus rental and the variable admission costs. Calculated
as $450 + (32 × $15) = $450 + $480 = $930.
2. Which of the following numbers is irrational?
A. 0.333...
🟢 Correct Answer: B. Square root of 7
C. 5/8
D. Square root of 16
🔴 RATIONALE: An irrational number cannot be expressed as a simple fraction. The square root of 7 is a non-
terminating, non-repeating decimal, whereas the others are rational.
3. Solve for x: 3(x - 4) = 2x + 5
A. x = 9
B. x = 12
C. x = 15
🟢 Correct Answer: D. x = 17
🔴 RATIONALE: Expanding the left side gives 3x - 12 = 2x + 5. Subtracting 2x from both sides results in x - 12
= 5. Adding 12 to both sides gives x = 17.
4. A scale on a map indicates that 1 inch equals 50 miles. If two cities are 3.5 inches apart on the map, what
is the actual distance between them?
🟢 Correct Answer: A. 175 miles
B. 150 miles
C. 185 miles
D. 200 miles
🔴 RATIONALE: Using the proportion 1/50 = 3.5/x, multiply 3.5 by 50 to get 175 miles.
, 5. What is the median of the following data set: 12, 15, 9, 22, 18, 17, 11?
A. 14
🟢 Correct Answer: B. 15
C. 16
D. 17
🔴 RATIONALE: To find the median, order the numbers: 9, 11, 12, 15, 17, 18, 22. The middle value in this set
of seven numbers is 15.
6. If a rectangular classroom has a length of 30 feet and a perimeter of 100 feet, what is the width of the
room?
A. 15 feet
🟢 Correct Answer: B. 20 feet
C. 25 feet
D. 40 feet
🔴 RATIONALE: Perimeter P = 2(length + width). 100 = 2(30 + w) -> 50 = 30 + w -> w = 20 feet.
7. A bag contains 4 red marbles, 6 blue marbles, and 2 green marbles. What is the probability of randomly
selecting a marble that is NOT blue?
A. 1/3
🟢 Correct Answer: B. 1/2
C. 2/3
D. 1/6
🔴 RATIONALE: There are 12 total marbles. The number of marbles that are not blue (red and green) is 4 + 2
= 6. The probability is 6/12, which simplifies to 1/2.
8. Which expression represents "five less than twice a number n"?
