LATEST PRAXIS MATHEMATICS: CONTENT KNOWLEDGE (5161) OFFERED BY ETS | Q&A WITH RATIONALES

LATEST PRAXIS MATHEMATICS:
CONTENT KNOWLEDGE (5161)
OFFERED BY ETS | Q&A WITH
RATIONALES

1. What is the value of 5² + 3³?
A) 34
B) 52
C) 58
D) 64
Correct answer: B
Rationale: 5² = 25 and 3³ = 27; 25 + 27 = 52.


2. A rectangle has a length of 12 cm and a width of 5
cm. What is the perimeter?
A) 17 cm
B) 24 cm
C) 34 cm
D) 60 cm

,Correct answer: C
Rationale: Perimeter = 2(length + width) = 2(12 + 5) =
2(17) = 34 cm.


3. If 3x + 7 = 22, what is the value of x?
A) 3
B) 5
C) 7
D) 9
Correct answer: B
Rationale: Subtract 7 from both sides: 3x = 15; divide
by 3: x = 5.


4. What is the greatest common factor (GCF) of 24
and 36?
A) 4
B) 6
C) 12
D) 18
Correct answer: C

,Rationale: Factors of 24: 1,2,3,4,6,8,12,24; factors of
36: 1,2,3,4,6,9,12,18,36; the GCF is 12.


5. A car travels 240 miles in 4 hours. What is the
average speed in miles per hour?
A) 40 mph
B) 50 mph
C) 60 mph
D) 80 mph
Correct answer: C
Rationale: Speed = distance ÷ time = 240 ÷ 4 = 60
mph.


6. A student scored 85, 90, and 78 on three tests.
What score does the student need on the fourth test
to have an average of 85?
A) 80
B) 84
C) 85
D) 87

, Correct answer: D
Rationale: To average 85 over 4 tests, total must be
340. Current total = 253. Needed = 340 − 253 = 87.


7. What is the median of the following set of numbers:
4, 8, 15, 16, 23, 42?
A) 15
B) 15.5
C) 16
D) 18
Correct answer: B
Rationale: With an even number of values, the
median is the average of the two middle numbers:
(15 + 16)/2 = 15.5.


8. Solve for x: 2x − 5 = 3x + 2
A) −7
B) −3
C) 3
D) 7