LATEST PRAXIS MIDDLE SCHOOL MATHEMATICS (5169) BY ETS CERTIFICATION EXAM | Q&A WITH RATIONALES

LATEST PRAXIS MIDDLE SCHOOL
MATHEMATICS (5169) BY ETS
CERTIFICATION EXAM | Q&A WITH
RATIONALES

1. A student is solving the equation 3(x − 4) = 2x + 6.
What is the value of x?
A) 6
B) 10
C) 14
D) 18
Correct answer: D
Rationale: 3x − 12 = 2x + 6, so 3x − 2x = 6 + 12, x = 18.


2. What is the greatest common factor (GCF) of 48
and 60?
A) 6
B) 8
C) 10
D) 12

,Correct answer: D
Rationale: Factors of 48: 1,2,3,4,6,8,12,16,24,48;
factors of 60: 1,2,3,4,5,6,10,12,15,20,30,60. The
greatest common factor is 12.


3. A rectangle has a length of 14 cm and a width of 6
cm. What is the area?
A) 20 cm²
B) 40 cm²
C) 84 cm²
D) 168 cm²
Correct answer: C
Rationale: Area = length × width = 14 × 6 = 84 cm².


4. What is the value of 2⁴ + 3³?
A) 17
B) 27
C) 35
D) 43
Correct answer: D

,Rationale: 2⁴ = 16, 3³ = 27, so 16 + 27 = 43.


5. A student scored 78, 85, and 92 on three tests.
What score is needed on the fourth test to have an
average of 85?
A) 80
B) 82
C) 85
D) 88
Correct answer: C
Rationale: Sum needed for four tests = 85 × 4 = 340.
Current sum = 78 + 85 + 92 = 255. Needed = 340 −
255 = 85.


6. Solve for x: 5x − 7 = 3x + 13
A) 5
B) 7
C) 10
D) 14
Correct answer: C

, Rationale: 5x − 3x = 13 + 7, so 2x = 20, x = 10.


7. A circle has a radius of 7 cm. What is the
circumference? (Use π ≈ 22/7)
A) 22 cm
B) 44 cm
C) 154 cm
D) 616 cm
Correct answer: B
Rationale: C = 2πr = 2 × (22/7) × 7 = 44 cm.


8. What is the median of the data set: 5, 8, 12, 15, 20,
25?
A) 12
B) 13.5
C) 15
D) 16
Correct answer: B