PAX NLN Exam – Mathematics Section – Questions
with Answers – 2025/2026 Edition
1. What is 15% of 240?
A. 36
B. 32
C. 38
D. 40
Answer: A
Rationale: 15% = 0.15; 0.15 × 240 = 36.
2. Simplify: 8 + 3 × 4 − 6 ÷ 2
A. 17
B. 19
C. 20
D. 22
Answer: A
Rationale: Order of operations: 3×4=12, 6÷2=3. 8+12−3=17.
3. Solve for x: 3x − 7 = 14
A. 5
B. 6
C. 7
D. 8
Answer: C
Rationale: 3x = 21, so x = 7.
4. What is the LCM of 12 and 18?
A. 24
B. 36
C. 48
D. 72
Answer: B
Rationale: Prime factors: 12=2²·3, 18=2·3². LCM=2²·3²=36.
**5. A shirt costs $40 and is discounted 25%. What is the sale price?**
A. $25
B. $28
,C. $30
D. $32
Answer: C
Rationale: Discount = 0.25 × 40 = 10; sale price = 40 − 10 = 30.
6. Convert 0.75 to a fraction in lowest terms.
A. 1/4
B. 1/2
C. 3/4
D. 2/3
Answer: C
Rationale: 0.75 = 75/100 = 3/4.
7. What is the median of: 4, 8, 6, 10, 12?
A. 6
B. 7
C. 8
D. 9
Answer: C
Rationale: Ordered: 4,6,8,10,12. Middle value = 8.
8. Solve: 2(x + 3) = 16
A. 4
B. 5
C. 6
D. 7
Answer: B
Rationale: 2x + 6 = 16; 2x = 10; x = 5.
9. What is the area of a rectangle 8 cm by 5 cm?
A. 13 cm²
B. 26 cm²
C. 40 cm²
D. 80 cm²
Answer: C
Rationale: Area = length × width = 8 × 5 = 40 cm².
10. If 20% of a number is 15, what is the number?
A. 60
B. 75
,C. 80
D. 90
Answer: B
Rationale: 0.20x = 15; x = .20 = 75.
11. Simplify: (2³)²
A. 16
B. 32
C. 64
D. 128
Answer: C
Rationale: (2³)² = 2^(3×2) = 2⁶ = 64.
12. What is the slope of the line through (1, 2) and (3, 8)?
A. 2
B. 3
C. 4
D. 6
Answer: B
Rationale: Slope = (8−2)/(3−1) = 6/2 = 3.
13. Solve the inequality: 2x + 5 > 11
A. x > 2
B. x > 3
C. x < 2
D. x < 3
Answer: B
Rationale: 2x > 6; x > 3.
14. What is 3/4 ÷ 1/2?
A. 1/2
B. 3/8
C. 3/2
D. 2/3
Answer: C
Rationale: 3/4 × 2/1 = 6/4 = 3/2.
15. A car travels 180 miles in 3 hours. What is its average speed?
A. 50 mph
B. 55 mph
, C. 60 mph
D. 65 mph
Answer: C
Rationale: 180 ÷ 3 = 60 mph.
16. What is the perimeter of a square with side 9 cm?
A. 18 cm
B. 27 cm
C. 36 cm
D. 81 cm
Answer: C
Rationale: Perimeter = 4 × side = 4 × 9 = 36 cm.
17. Factor: x² − 16
A. (x−4)(x+4)
B. (x−8)(x+2)
C. (x−4)²
D. (x+4)²
Answer: A
Rationale: Difference of squares: a²−b² = (a−b)(a+b).
18. What is the mode of: 2, 3, 3, 5, 7, 3, 8?
A. 2
B. 3
C. 5
D. 7
Answer: B
Rationale: Mode is the most frequent value: 3 appears three times.
19. Solve for x: x/4 = 9
A. 13
B. 26
C. 36
D. 45
Answer: C
Rationale: x = 9 × 4 = 36.
20. What is 5² + 12²?
A. 119
B. 144
with Answers – 2025/2026 Edition
1. What is 15% of 240?
A. 36
B. 32
C. 38
D. 40
Answer: A
Rationale: 15% = 0.15; 0.15 × 240 = 36.
2. Simplify: 8 + 3 × 4 − 6 ÷ 2
A. 17
B. 19
C. 20
D. 22
Answer: A
Rationale: Order of operations: 3×4=12, 6÷2=3. 8+12−3=17.
3. Solve for x: 3x − 7 = 14
A. 5
B. 6
C. 7
D. 8
Answer: C
Rationale: 3x = 21, so x = 7.
4. What is the LCM of 12 and 18?
A. 24
B. 36
C. 48
D. 72
Answer: B
Rationale: Prime factors: 12=2²·3, 18=2·3². LCM=2²·3²=36.
**5. A shirt costs $40 and is discounted 25%. What is the sale price?**
A. $25
B. $28
,C. $30
D. $32
Answer: C
Rationale: Discount = 0.25 × 40 = 10; sale price = 40 − 10 = 30.
6. Convert 0.75 to a fraction in lowest terms.
A. 1/4
B. 1/2
C. 3/4
D. 2/3
Answer: C
Rationale: 0.75 = 75/100 = 3/4.
7. What is the median of: 4, 8, 6, 10, 12?
A. 6
B. 7
C. 8
D. 9
Answer: C
Rationale: Ordered: 4,6,8,10,12. Middle value = 8.
8. Solve: 2(x + 3) = 16
A. 4
B. 5
C. 6
D. 7
Answer: B
Rationale: 2x + 6 = 16; 2x = 10; x = 5.
9. What is the area of a rectangle 8 cm by 5 cm?
A. 13 cm²
B. 26 cm²
C. 40 cm²
D. 80 cm²
Answer: C
Rationale: Area = length × width = 8 × 5 = 40 cm².
10. If 20% of a number is 15, what is the number?
A. 60
B. 75
,C. 80
D. 90
Answer: B
Rationale: 0.20x = 15; x = .20 = 75.
11. Simplify: (2³)²
A. 16
B. 32
C. 64
D. 128
Answer: C
Rationale: (2³)² = 2^(3×2) = 2⁶ = 64.
12. What is the slope of the line through (1, 2) and (3, 8)?
A. 2
B. 3
C. 4
D. 6
Answer: B
Rationale: Slope = (8−2)/(3−1) = 6/2 = 3.
13. Solve the inequality: 2x + 5 > 11
A. x > 2
B. x > 3
C. x < 2
D. x < 3
Answer: B
Rationale: 2x > 6; x > 3.
14. What is 3/4 ÷ 1/2?
A. 1/2
B. 3/8
C. 3/2
D. 2/3
Answer: C
Rationale: 3/4 × 2/1 = 6/4 = 3/2.
15. A car travels 180 miles in 3 hours. What is its average speed?
A. 50 mph
B. 55 mph
, C. 60 mph
D. 65 mph
Answer: C
Rationale: 180 ÷ 3 = 60 mph.
16. What is the perimeter of a square with side 9 cm?
A. 18 cm
B. 27 cm
C. 36 cm
D. 81 cm
Answer: C
Rationale: Perimeter = 4 × side = 4 × 9 = 36 cm.
17. Factor: x² − 16
A. (x−4)(x+4)
B. (x−8)(x+2)
C. (x−4)²
D. (x+4)²
Answer: A
Rationale: Difference of squares: a²−b² = (a−b)(a+b).
18. What is the mode of: 2, 3, 3, 5, 7, 3, 8?
A. 2
B. 3
C. 5
D. 7
Answer: B
Rationale: Mode is the most frequent value: 3 appears three times.
19. Solve for x: x/4 = 9
A. 13
B. 26
C. 36
D. 45
Answer: C
Rationale: x = 9 × 4 = 36.
20. What is 5² + 12²?
A. 119
B. 144
