LATEST PRAXIS ELEMENTARY EDUCATION: MATHEMATICS (5003) | ETS CERTIFICATION EXAM | Q&A WITH RATIONALES

LATEST PRAXIS ELEMENTARY
EDUCATION: MATHEMATICS (5003) | ETS | |
ETS CERTIFICATION EXAM | Q&A WITH
RATIONALES

1. Which of the following is equivalent to 3/4?
A) 0.34
B) 0.75
C) 0.80
D) 1.33
Correct answer: B
Rationale: 3 ÷ 4 = 0.75, so option B is correct.


2. 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 greatest
common factor is 12.


3. 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.


4. 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.


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. 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.

, 7. If a shirt originally costs $40 and is on sale for 25%
off, what is the sale price?
A) $10
B) $15
C) $30
D) $35
Correct answer: C
Rationale: 25% of 40 is 10; 40 − 10 = $30.


8. 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.


9. Solve for x: 2x − 5 = 3x + 2