ACCUPLACER MATH
QAS, Arithmetic,
AAF Exam
Q&A
2024
,1. What is the value of x in the equation 3x + 7 = 16?
A. 3
B. 5
C. 6
D. 9
Answer: B. 5
Rationale: To solve for x, we need to isolate x by subtracting 7 from both
sides and then dividing by 3. Therefore, 3x + 7 - 7 = 16 - 7, resulting in 3x
= 9. Dividing both sides by 3 gives us x = 3.
2. What is the next number in the sequence: 2, 5, 10, 17, 26, ...?
A. 35
B. 37
C. 40
D. 41
Answer: A. 35
Rationale: The sequence is increasing by consecutive odd numbers (3, 5,
7, 9, ...). Therefore, the next number in the sequence is 26 + 9 = 35.
3. If a car travels 240 miles in 4 hours, what is its average speed in miles
per hour?
A. 45
B. 50
C. 55
D. 60
Answer: B. 60
Rationale: To find the average speed, we divide the total distance by the
total time. Therefore, 240 miles / 4 hours = 60 miles per hour.
,4. What is the median of the following set of numbers: 12, 15, 17, 21, 24,
28?
A. 17
B. 19.5
C. 21
D. 24
Answer: C. 21
Rationale: To find the median, we arrange the numbers in order from
smallest to largest: 12, 15, 17, 21, 24, 28. The middle number is 21,
making it the median.
5. A box contains 3 red balls, 5 blue balls, and 4 green balls. If a ball is
randomly chosen, what is the probability that it is red?
A. 1/4
B. 1/3
C. 1/2
D. 3/12
Answer: B. 1/3
Rationale: The total number of balls in the box is 3 + 5 + 4 = 12. The
probability of choosing a red ball is 3/12, which simplifies to 1/4.
6. If 2x + 5 = 11, what is the value of x?
A. 2
B. 3
C. 6
D. 8
Answer: B. 3
Rationale: To solve for x, we subtract 5 from both sides and divide by 2.
Therefore, 2x + 5 - 5 = 11 - 5, giving us 2x = 6. Dividing by 2, we get x =
, 3.
7. What is the value of y in the equation 4y - 7 = 11?
A. 3
B. 4
C. 5
D. 6
Answer: D. 6
Rationale: To solve for y, we add 7 to both sides and then divide by 4.
Thus, 4y - 7 + 7 = 11 + 7, resulting in 4y = 18. Dividing by 4 gives us y =
6.
8. The sum of two consecutive integers is 41. What are the two integers?
A. 19, 20
B. 20, 21
C. 21, 22
D. 22, 23
Answer: B. 20, 21
Rationale: Let the two consecutive integers be x and x + 1. The equation x
+ (x + 1) = 41 can be written as 2x + 1 = 41. Solving gives us x = 20, so
the integers are 20 and 21.
9. What is the range of the following set of numbers: 14, 16, 18, 20, 22?
A. 6
B. 8
C. 10
D. 12
Answer: B. 8
Rationale: The range is the difference between the largest and smallest
QAS, Arithmetic,
AAF Exam
Q&A
2024
,1. What is the value of x in the equation 3x + 7 = 16?
A. 3
B. 5
C. 6
D. 9
Answer: B. 5
Rationale: To solve for x, we need to isolate x by subtracting 7 from both
sides and then dividing by 3. Therefore, 3x + 7 - 7 = 16 - 7, resulting in 3x
= 9. Dividing both sides by 3 gives us x = 3.
2. What is the next number in the sequence: 2, 5, 10, 17, 26, ...?
A. 35
B. 37
C. 40
D. 41
Answer: A. 35
Rationale: The sequence is increasing by consecutive odd numbers (3, 5,
7, 9, ...). Therefore, the next number in the sequence is 26 + 9 = 35.
3. If a car travels 240 miles in 4 hours, what is its average speed in miles
per hour?
A. 45
B. 50
C. 55
D. 60
Answer: B. 60
Rationale: To find the average speed, we divide the total distance by the
total time. Therefore, 240 miles / 4 hours = 60 miles per hour.
,4. What is the median of the following set of numbers: 12, 15, 17, 21, 24,
28?
A. 17
B. 19.5
C. 21
D. 24
Answer: C. 21
Rationale: To find the median, we arrange the numbers in order from
smallest to largest: 12, 15, 17, 21, 24, 28. The middle number is 21,
making it the median.
5. A box contains 3 red balls, 5 blue balls, and 4 green balls. If a ball is
randomly chosen, what is the probability that it is red?
A. 1/4
B. 1/3
C. 1/2
D. 3/12
Answer: B. 1/3
Rationale: The total number of balls in the box is 3 + 5 + 4 = 12. The
probability of choosing a red ball is 3/12, which simplifies to 1/4.
6. If 2x + 5 = 11, what is the value of x?
A. 2
B. 3
C. 6
D. 8
Answer: B. 3
Rationale: To solve for x, we subtract 5 from both sides and divide by 2.
Therefore, 2x + 5 - 5 = 11 - 5, giving us 2x = 6. Dividing by 2, we get x =
, 3.
7. What is the value of y in the equation 4y - 7 = 11?
A. 3
B. 4
C. 5
D. 6
Answer: D. 6
Rationale: To solve for y, we add 7 to both sides and then divide by 4.
Thus, 4y - 7 + 7 = 11 + 7, resulting in 4y = 18. Dividing by 4 gives us y =
6.
8. The sum of two consecutive integers is 41. What are the two integers?
A. 19, 20
B. 20, 21
C. 21, 22
D. 22, 23
Answer: B. 20, 21
Rationale: Let the two consecutive integers be x and x + 1. The equation x
+ (x + 1) = 41 can be written as 2x + 1 = 41. Solving gives us x = 20, so
the integers are 20 and 21.
9. What is the range of the following set of numbers: 14, 16, 18, 20, 22?
A. 6
B. 8
C. 10
D. 12
Answer: B. 8
Rationale: The range is the difference between the largest and smallest
