Praxis Core Mathematics (5733)
Exam 2026–2027|||questions and
answers with rationales/graded
A+/2026 update/100% correct
/instant download
Full-Length Topic Test: 80+ Questions with Rationales
Exam Structure
• Number of Questions: 82
• Time Allowed (simulated): 120 minutes
• Content Areas:
o I. Number & Quantity (20 questions)
o II. Algebra & Functions (22 questions)
o III. Geometry (20 questions)
o IV. Statistics & Probability (20 questions)
Section I: Number & Quantity (Questions 1–20)
1. Which of the following is equivalent to 38+0.2583+0.25?
A) 0.375
B) 0.5
C) 0.625
D) 0.875
Rationale: 38=0.37583=0.375; 0.375+0.25=0.6250.375+0.25=0.625.
2. A recipe calls for 2.5 liters of milk. How many milliliters is this?
A) 250 mL
B) 2,500 mL
,C) 25,000 mL
D) 250,000 mL
Rationale: 1 L = 1,000 mL, so 2.5 × 1,000 = 2,500 mL.
3. What is 15% of 240?
A) 24
B) 30
C) 36
D) 48
Rationale: 0.15 × 240 = 36.
4. Simplify: 23÷4932÷94.
A) 1331
B) 827278
C) 1.5
D) 2
Rationale: 23×94=1812=1.532×49=1218=1.5.
5. Which number is largest?
A) 0.099
B) 0.1
C) 0.1001
D) 0.11
Rationale: 0.11 = 0.1100 > 0.1001 > 0.1 > 0.099.
6. The temperature drops from –5°C to –12°C. What is the change?
A) –17°C
B) –7°C
C) 7°C
D) –7°C
Rationale: Change = final – initial = –12 – (–5) = –7°C.
7. 63×6−2=?63×6−2=?
A) 6
B) 6−5−5
C) 36
D) 1
, Rationale: 63+(−2)=61=663+(−2)=61=6.
8. Express 0.00075 in scientific notation.
A) 7.5 × 1033
B) 7.5 × 10−4−4
C) 75 × 10−5−5
D) 7.5 × 1044
Rationale: Move decimal 4 places right → 7.5 × 10−4−4.
9. What is the greatest common factor (GCF) of 36 and 60?
A) 6
B) 12
C) 18
D) 30
Rationale: 36 = 2²×3², 60 = 2²×3×5 → GCF = 2²×3 = 12.
10. Which fraction is equivalent to 0.625?
A) 5/8
B) 3/4
C) 7/8
D) 5/6
Rationale: 0.625 = 625/1000 = 5/8.
11. Simplify: 7272.
A) 6√3
B) 6√2
C) 8√2
D) 12√2
Rationale: √72 = √(36×2) = 6√2.
12. A car travels 300 miles on 12 gallons of gas. What is the fuel efficiency in
miles per gallon?
A) 20 mpg
B) 24 mpg
C) 25 mpg
D) 30 mpg
Rationale: 300 ÷ 12 = 25 mpg.
Exam 2026–2027|||questions and
answers with rationales/graded
A+/2026 update/100% correct
/instant download
Full-Length Topic Test: 80+ Questions with Rationales
Exam Structure
• Number of Questions: 82
• Time Allowed (simulated): 120 minutes
• Content Areas:
o I. Number & Quantity (20 questions)
o II. Algebra & Functions (22 questions)
o III. Geometry (20 questions)
o IV. Statistics & Probability (20 questions)
Section I: Number & Quantity (Questions 1–20)
1. Which of the following is equivalent to 38+0.2583+0.25?
A) 0.375
B) 0.5
C) 0.625
D) 0.875
Rationale: 38=0.37583=0.375; 0.375+0.25=0.6250.375+0.25=0.625.
2. A recipe calls for 2.5 liters of milk. How many milliliters is this?
A) 250 mL
B) 2,500 mL
,C) 25,000 mL
D) 250,000 mL
Rationale: 1 L = 1,000 mL, so 2.5 × 1,000 = 2,500 mL.
3. What is 15% of 240?
A) 24
B) 30
C) 36
D) 48
Rationale: 0.15 × 240 = 36.
4. Simplify: 23÷4932÷94.
A) 1331
B) 827278
C) 1.5
D) 2
Rationale: 23×94=1812=1.532×49=1218=1.5.
5. Which number is largest?
A) 0.099
B) 0.1
C) 0.1001
D) 0.11
Rationale: 0.11 = 0.1100 > 0.1001 > 0.1 > 0.099.
6. The temperature drops from –5°C to –12°C. What is the change?
A) –17°C
B) –7°C
C) 7°C
D) –7°C
Rationale: Change = final – initial = –12 – (–5) = –7°C.
7. 63×6−2=?63×6−2=?
A) 6
B) 6−5−5
C) 36
D) 1
, Rationale: 63+(−2)=61=663+(−2)=61=6.
8. Express 0.00075 in scientific notation.
A) 7.5 × 1033
B) 7.5 × 10−4−4
C) 75 × 10−5−5
D) 7.5 × 1044
Rationale: Move decimal 4 places right → 7.5 × 10−4−4.
9. What is the greatest common factor (GCF) of 36 and 60?
A) 6
B) 12
C) 18
D) 30
Rationale: 36 = 2²×3², 60 = 2²×3×5 → GCF = 2²×3 = 12.
10. Which fraction is equivalent to 0.625?
A) 5/8
B) 3/4
C) 7/8
D) 5/6
Rationale: 0.625 = 625/1000 = 5/8.
11. Simplify: 7272.
A) 6√3
B) 6√2
C) 8√2
D) 12√2
Rationale: √72 = √(36×2) = 6√2.
12. A car travels 300 miles on 12 gallons of gas. What is the fuel efficiency in
miles per gallon?
A) 20 mpg
B) 24 mpg
C) 25 mpg
D) 30 mpg
Rationale: 300 ÷ 12 = 25 mpg.
