Praxis Core Mathematics 5733 Exam 2026/2027 | Complete Practice Questions, Correct Answers & Detailed Rationales

Praxis Core Mathematics 5733 Exam 2026/2027 | Complete
Practice Questions, Correct Answers & Detailed Rationales


SECTION I — NUMBER AND QUANTITY
1.
What is the value of 18 − 7(2)?
A. 4
B. 22
C. 11
D. 28
Correct Answer: A
Rationale: Multiply first: 7(2) = 14. Then 18 − 14 = 4.


2.
3
Which fraction is equivalent to ?
5
6
A.
15
9
B.
15
12
C.
25
15
D.
20

Correct Answer: B

, 3
Rationale: Multiplying both numerator and denominator of by 3 gives
5
9
.
15



3.
What is 0.75expressed as a fraction in simplest form?
1
A.
3
2
B.
3
3
C.
4
4
D.
5

Correct Answer: C
Rationale: 0.75 = 75/100 = 3/4.


4.
What is 35%of 240?
A. 72
B. 84
C. 96
D. 108
Correct Answer: B
Rationale: 0.35(240) = 84.

,5.
A shirt originally costs $80 and is discounted by 25%. What is the sale
price?
A. $20
B. $55
C. $60
D. $65
Correct Answer: C
Rationale: The discount is 0.25(80) = 20. Therefore, 80 − 20 = 60.


6.
Which number is greatest?
A. 0.62
B. 0.602
C. 0.206
D. 0.26
Correct Answer: A
Rationale: Writing the decimals to three places gives 0.620, 0.602,
0.206, and 0.260. Thus 0.620 is greatest.


7.
What is the least common multiple of 6 and 8?

, A. 12
B. 18
C. 24
D. 48
Correct Answer: C
Rationale: Multiples of 6 include 6, 12, 18, 24; multiples of 8 include 8,
16, 24. The least common multiple is 24.


8.
What is the greatest common factor of 36 and 48?
A. 6
B. 8
C. 12
D. 16
Correct Answer: C
Rationale: The common factors include 1, 2, 3, 4, 6, and 12. The
greatest is 12.


9.
What is −8 + 13?
A. -21
B. -5
C. 5
D. 21