NCSSM PLACEMENT TEST 2024/25 – LATEST
COMPREHENSIVE QUESTIONS AND VERIFIED
ACCURATE ANSWERS || 100% GUARANTEED PASS
<RECENT VERSION>
Mathematics
1. Simplify the expression: (3x²y⁻³)³
A) 9x⁵y⁰
B) 27x⁶ / y⁹
C) 27x⁵y⁻⁶
D) 9x⁶y⁻⁹
2. If 2^(x+1) = 16, what is the value of x?
A) 2
B) 3
C) 4
D) 5
3. What are the roots of the quadratic equation x² - 5x + 6 = 0?
A) 1 and 6
B) -1 and -6
C) 2 and 3
D) -2 and -3
4. The line y = 3x + 2 is perpendicular to which of the following?
A) y = 3x - 5
B) y = -3x + 1
C) y = (1/3)x + 7
D) y = (-1/3)x + 4
5. Solve for x: |2x - 5| = 11
A) x = -3, 8
B) x = 3, -8
,C) x = 8
D) x = -3
6. Factor completely: 2x² - 8
A) 2(x² - 4)
B) 2(x - 2)(x + 2)
C) (2x - 4)(x + 2)
D) 2(x - 2)²
7. What is the slope of the line passing through points (2, 5) and (-1, 3)?
A) 2/3
B) 3/2
C) -2/3
D) -3/2
8. If log₃(x) = 4, what is x?
A) 81
B) 64
C) 12
D) 7
9. What is the solution to the system of equations? 2x + y = 7; x - y = -1
A) (1, 2)
B) (2, 3)
C) (3, 1)
D) (0, 7)
10. The sum of the interior angles of a hexagon is:
A) 540°
B) 720°
C) 900°
D) 1080°
11. Simplify: i⁴⁷ (where i is the imaginary unit)
A) 1
B) -1
, C) i
D) -i
12. What is the domain of the function f(x) = √(x - 4)?
A) x > 4
B) x ≥ 4
C) All real numbers
D) x ≤ 4
13. If sin(θ) = 4/5 and θ is in the first quadrant, what is cos(θ)?
A) 3/5
B) 4/3
C) 5/3
D) 1/2
14. A circle has the equation (x - 2)² + (y + 1)² = 9. What is its center?
A) (-2, 1)
B) (2, -1)
C) (-1, 2)
D) (1, -2)
15. What is the 10th term of the arithmetic sequence: 5, 9, 13, 17,...?
A) 41
B) 45
C) 49
D) 53
16. The probability of rolling a 5 on a fair six-sided die is:
A) 1/6
B) 1/5
C) 5/6
D) 1/3
17. If f(x) = 2x - 1 and g(x) = x², what is g(f(3))?
A) 25
B) 36
COMPREHENSIVE QUESTIONS AND VERIFIED
ACCURATE ANSWERS || 100% GUARANTEED PASS
<RECENT VERSION>
Mathematics
1. Simplify the expression: (3x²y⁻³)³
A) 9x⁵y⁰
B) 27x⁶ / y⁹
C) 27x⁵y⁻⁶
D) 9x⁶y⁻⁹
2. If 2^(x+1) = 16, what is the value of x?
A) 2
B) 3
C) 4
D) 5
3. What are the roots of the quadratic equation x² - 5x + 6 = 0?
A) 1 and 6
B) -1 and -6
C) 2 and 3
D) -2 and -3
4. The line y = 3x + 2 is perpendicular to which of the following?
A) y = 3x - 5
B) y = -3x + 1
C) y = (1/3)x + 7
D) y = (-1/3)x + 4
5. Solve for x: |2x - 5| = 11
A) x = -3, 8
B) x = 3, -8
,C) x = 8
D) x = -3
6. Factor completely: 2x² - 8
A) 2(x² - 4)
B) 2(x - 2)(x + 2)
C) (2x - 4)(x + 2)
D) 2(x - 2)²
7. What is the slope of the line passing through points (2, 5) and (-1, 3)?
A) 2/3
B) 3/2
C) -2/3
D) -3/2
8. If log₃(x) = 4, what is x?
A) 81
B) 64
C) 12
D) 7
9. What is the solution to the system of equations? 2x + y = 7; x - y = -1
A) (1, 2)
B) (2, 3)
C) (3, 1)
D) (0, 7)
10. The sum of the interior angles of a hexagon is:
A) 540°
B) 720°
C) 900°
D) 1080°
11. Simplify: i⁴⁷ (where i is the imaginary unit)
A) 1
B) -1
, C) i
D) -i
12. What is the domain of the function f(x) = √(x - 4)?
A) x > 4
B) x ≥ 4
C) All real numbers
D) x ≤ 4
13. If sin(θ) = 4/5 and θ is in the first quadrant, what is cos(θ)?
A) 3/5
B) 4/3
C) 5/3
D) 1/2
14. A circle has the equation (x - 2)² + (y + 1)² = 9. What is its center?
A) (-2, 1)
B) (2, -1)
C) (-1, 2)
D) (1, -2)
15. What is the 10th term of the arithmetic sequence: 5, 9, 13, 17,...?
A) 41
B) 45
C) 49
D) 53
16. The probability of rolling a 5 on a fair six-sided die is:
A) 1/6
B) 1/5
C) 5/6
D) 1/3
17. If f(x) = 2x - 1 and g(x) = x², what is g(f(3))?
A) 25
B) 36
