PRAXIS 5003 Math Practice Exam Bundle | 150 Questions &
Detailed Rationales | 2026-2027 Edition | Elementary Education
Mathematics Subtest
Category 1: Numbers & Operations (40% | 60 Questions)
Category 2: Algebraic Thinking (30% | 45 Questions)
Category 3: Geometry, Measurement, Data & Probability (30% | 45 Questions)
Category 1: Numbers & Operations (60 Questions)
1. What is the value of the digit $7$ in the number $48,732$?
A) $7$
B) $70$
C) $700$
D) $7,000$
Answer: C
Rationale: The digit $7$ occupies the hundreds place, representing $7 \times 100 = 700$.
2. Which of the following numbers is prime?
,A) $21$
B) $27$
C) $31$
D) $35$
Answer: C
Rationale: $31$ has only two factors: $1$ and $31$.
3. Simplify the expression: $-6 + 25 \div 5 \times (5 - 2)$
A) $9$
B) $15$
C) $-3$
D) $21$
Answer: A
Rationale: Parentheses first: $(5 - 2) = 3$. Division/multiplication left-to-right: $25 \div 5 =
5$, then $5 \times 3 = 15$. Addition: $-6 + 15 = 9$.
4. Which fraction is equivalent to $\frac{3}{4}$?
, A) $\frac{9}{16}$
B) $\frac{12}{16}$
C) $\frac{15}{24}$
D) $\frac{6}{12}$
Answer: B
Rationale: Multiply numerator and denominator by $4$: $\frac{3 \times 4}{4 \times 4} =
\frac{12}{16}$.
5. A shirt costs $\$26.00$. If the sales tax is $8\%$, what is the total cost?
A) $\$28.08$
B) $\$27.08$
C) $\$28.80$
D) $\$27.80$
Answer: A
Rationale: Tax $= 26 \times 0.08 = 2.08$. Total $= 26 + 2.08 = 28.08$.
6. What is the Least Common Multiple (LCM) of $8$ and $12$?
Detailed Rationales | 2026-2027 Edition | Elementary Education
Mathematics Subtest
Category 1: Numbers & Operations (40% | 60 Questions)
Category 2: Algebraic Thinking (30% | 45 Questions)
Category 3: Geometry, Measurement, Data & Probability (30% | 45 Questions)
Category 1: Numbers & Operations (60 Questions)
1. What is the value of the digit $7$ in the number $48,732$?
A) $7$
B) $70$
C) $700$
D) $7,000$
Answer: C
Rationale: The digit $7$ occupies the hundreds place, representing $7 \times 100 = 700$.
2. Which of the following numbers is prime?
,A) $21$
B) $27$
C) $31$
D) $35$
Answer: C
Rationale: $31$ has only two factors: $1$ and $31$.
3. Simplify the expression: $-6 + 25 \div 5 \times (5 - 2)$
A) $9$
B) $15$
C) $-3$
D) $21$
Answer: A
Rationale: Parentheses first: $(5 - 2) = 3$. Division/multiplication left-to-right: $25 \div 5 =
5$, then $5 \times 3 = 15$. Addition: $-6 + 15 = 9$.
4. Which fraction is equivalent to $\frac{3}{4}$?
, A) $\frac{9}{16}$
B) $\frac{12}{16}$
C) $\frac{15}{24}$
D) $\frac{6}{12}$
Answer: B
Rationale: Multiply numerator and denominator by $4$: $\frac{3 \times 4}{4 \times 4} =
\frac{12}{16}$.
5. A shirt costs $\$26.00$. If the sales tax is $8\%$, what is the total cost?
A) $\$28.08$
B) $\$27.08$
C) $\$28.80$
D) $\$27.80$
Answer: A
Rationale: Tax $= 26 \times 0.08 = 2.08$. Total $= 26 + 2.08 = 28.08$.
6. What is the Least Common Multiple (LCM) of $8$ and $12$?