350 ACTUAL EXAM QUESTIONS -
MULTIPLE CHOICE WITH ANSWERS &
RATIONALES
MATHEMATICS (Questions 1-70)
1. What is the value of x in the equation 3x + 7 = 22?
A) 3
B) 5
C) 7
D) 9
Answer: B) 5
Rationale: Subtract 7 from both sides: 3x = 15, then divide by 3: x = 5.
2. What is the slope of the line passing through points (2,3) and (5,9)?
A) 1
B) 2
C) 3
D) 4
Answer: B) 2
Rationale: Slope = (y2-y1)/(x2-x1) = (9-3)/(5-2) = 6/3 = 2.
,3. Simplify: (2x³)(3x⁴)
A) 5x⁷
B) 6x⁷
C) 6x¹²
D) 5x¹²
Answer: B) 6x⁷
Rationale: Multiply coefficients: 2×3=6, add exponents: 3+4=7.
4. What is the area of a circle with radius 5 cm?
A) 25π cm²
B) 10π cm²
C) 50π cm²
D) 15π cm²
Answer: A) 25π cm²
Rationale: Area = πr² = π(5)² = 25π cm².
5. Solve for x: 2x - 5 = 3x + 2
A) -7
B) 7
C) -3
D) 3
Answer: A) -7
Rationale: 2x - 5 = 3x + 2 → 2x - 3x = 2 + 5 → -x = 7 → x = -7.
,6. What is 35% of 200?
A) 50
B) 60
C) 70
D) 80
Answer: C) 70
Rationale: 35/100 × 200 = 70.
7. The square root of 144 is:
A) 10
B) 11
C) 12
D) 13
Answer: C) 12
Rationale: 12 × 12 = 144.
8. What is the perimeter of a rectangle with length 8 cm and width 5 cm?
A) 13 cm
B) 26 cm
C) 40 cm
D) 20 cm
Answer: B) 26 cm
Rationale: Perimeter = 2(l+w) = 2(8+5) = 26 cm.
9. Simplify: 3/4 + 2/3
, A) 5/7
B) 17/12
C) 6/7
D) 11/12
Answer: B) 17/12
Rationale: LCD = 12, (9+8)/12 = 17/12.
10. What is the value of 2⁵?
A) 10
B) 16
C) 25
D) 32
Answer: D) 32
Rationale: 2⁵ = 2×2×2×2×2 = 32.
11. If y = 3x + 2, what is y when x = 4?
A) 10
B) 12
C) 14
D) 16
Answer: C) 14
Rationale: y = 3(4) + 2 = 12 + 2 = 14.
12. What is the median of the data set: 5, 8, 12, 15, 20?
A) 8
MULTIPLE CHOICE WITH ANSWERS &
RATIONALES
MATHEMATICS (Questions 1-70)
1. What is the value of x in the equation 3x + 7 = 22?
A) 3
B) 5
C) 7
D) 9
Answer: B) 5
Rationale: Subtract 7 from both sides: 3x = 15, then divide by 3: x = 5.
2. What is the slope of the line passing through points (2,3) and (5,9)?
A) 1
B) 2
C) 3
D) 4
Answer: B) 2
Rationale: Slope = (y2-y1)/(x2-x1) = (9-3)/(5-2) = 6/3 = 2.
,3. Simplify: (2x³)(3x⁴)
A) 5x⁷
B) 6x⁷
C) 6x¹²
D) 5x¹²
Answer: B) 6x⁷
Rationale: Multiply coefficients: 2×3=6, add exponents: 3+4=7.
4. What is the area of a circle with radius 5 cm?
A) 25π cm²
B) 10π cm²
C) 50π cm²
D) 15π cm²
Answer: A) 25π cm²
Rationale: Area = πr² = π(5)² = 25π cm².
5. Solve for x: 2x - 5 = 3x + 2
A) -7
B) 7
C) -3
D) 3
Answer: A) -7
Rationale: 2x - 5 = 3x + 2 → 2x - 3x = 2 + 5 → -x = 7 → x = -7.
,6. What is 35% of 200?
A) 50
B) 60
C) 70
D) 80
Answer: C) 70
Rationale: 35/100 × 200 = 70.
7. The square root of 144 is:
A) 10
B) 11
C) 12
D) 13
Answer: C) 12
Rationale: 12 × 12 = 144.
8. What is the perimeter of a rectangle with length 8 cm and width 5 cm?
A) 13 cm
B) 26 cm
C) 40 cm
D) 20 cm
Answer: B) 26 cm
Rationale: Perimeter = 2(l+w) = 2(8+5) = 26 cm.
9. Simplify: 3/4 + 2/3
, A) 5/7
B) 17/12
C) 6/7
D) 11/12
Answer: B) 17/12
Rationale: LCD = 12, (9+8)/12 = 17/12.
10. What is the value of 2⁵?
A) 10
B) 16
C) 25
D) 32
Answer: D) 32
Rationale: 2⁵ = 2×2×2×2×2 = 32.
11. If y = 3x + 2, what is y when x = 4?
A) 10
B) 12
C) 14
D) 16
Answer: C) 14
Rationale: y = 3(4) + 2 = 12 + 2 = 14.
12. What is the median of the data set: 5, 8, 12, 15, 20?
A) 8
