GED FULL TEST EXAM 2026/2027| 300 VERIFIED PRACTICE
QUESTIONS & CORRECT ANSWERS WITH DETAILED RATIONALES |
GED TESTING SERVICE PREP| LATEST UPDATE
SECTION 1: MATHEMATICAL REASONING (Questions 1–75)
1. Simplify the expression: 3(2x - 4) + 5x
A. 11x - 12
B. 6x - 12
C. 11x + 12
D. 6x + 12
Answer: A
Rationale: Distribute the 3: 3 * 2x = 6x and 3 * -4 = -12. Then combine like
terms: 6x + 5x = 11x. The result is 11x - 12.
2. Solve for x: 2x + 7 = 19
A. x = 5
B. x = 6
C. x = 7
D. x = 12
Answer: B
Rationale: Subtract 7 from both sides: 2x = 12. Divide by 2: x = 6.
3. What is the value of 7 ÷ (-2) + 5?
A. -1.5
B. 1.5
C. -8.5
D. 8.5
Answer: B
Rationale: 7 ÷ (-2) = -3.5. Then -3.5 + 5 = 1.5.
4. What is the greatest common factor (GCF) of 36 and 54?
A. 6
B. 9
C. 18
D. 12
Answer: C
1
,Rationale: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The factors of
54 are 1, 2, 3, 6, 9, 18, 27, 54. The largest common factor is 18.
5. A rectangle has a length of 12 inches and a width of 5 inches. What is its
perimeter?
A. 17 inches
B. 34 inches
C. 60 inches
D. 24 inches
Answer: B
Rationale: Perimeter = 2(length + width) = 2(12 + 5) = 2(17) = 34 inches.
6. What is the area of a circle with a radius of 4 cm?
A. 8π cm²
B. 16π cm²
C. 4π cm²
D. 12π cm²
Answer: B
Rationale: Area = πr² = π(4²) = 16π cm².
7. If a right triangle has legs of 3 and 4, what is the length of the
hypotenuse?
A. 5
B. 6
C. 7
D. 25
Answer: A
Rationale: Using the Pythagorean theorem: a² + b² = c². 3² + 4² = 9 + 16 = 25.
√25 = 5.
8. Solve the inequality: 3x - 5 > 10
A. x > 5
B. x < 5
C. x > 15
D. x < 15
Answer: A
Rationale: Add 5 to both sides: 3x > 15. Divide by 3: x > 5.
2
,9. What is the slope of the line passing through points (2, 3) and (4, 7)?
A. 1
B. 2
C. 3
D. 4
Answer: B
Rationale: Slope = (y₂ - y₁) / (x₂ - x₁) = (7 - 3) / (4 - 2) = = 2.
10. A shirt originally costs $40. It is on sale for 25% off. What is the sale
price?
A. $30
B. $35
C. $25
D. $10
Answer: A
Rationale: 25% of $40 = 0.25 * 40 = $10. Sale price = $40 - $10 = $30.
11. If 5x = 45, what is the value of 2x + 3?
A. 15
B. 18
C. 21
D. 24
Answer: C
Rationale: First, solve for x: 5x = 45 → x = 9. Then 2(9) + 3 = 18 + 3 = 21.
12. What is the median of the following data set: 4, 7, 2, 9, 5, 1, 8?
A. 5
B. 4
C. 7
D. 9
Answer: A
Rationale: Arrange in order: 1, 2, 4, 5, 7, 8, 9. The median is the middle
value: 5.
13. A box has dimensions 3 ft × 4 ft × 5 ft. What is its volume?
A. 12 ft³
B. 20 ft³
C. 60 ft³
3
, D. 30 ft³
Answer: C
Rationale: Volume = length × width × height = 3 × 4 × 5 = 60 ft³.
14. Simplify: (2³)²
A. 2⁵
B. 2⁶
C. 2⁹
D. 2¹
Answer: B
Rationale: When raising a power to a power, multiply the exponents: (2³)² = 2⁶.
15. If f(x) = 2x² - 3x + 1, what is f(2)?
A. 3
B. 5
C. 7
D. 9
Answer: A
Rationale: f(2) = 2(2²) - 3(2) + 1 = 2(4) - 6 + 1 = 8 - 6 + 1 = 3.
16. What is 0.75 expressed as a fraction in simplest form?
A. 3/4
B. 7/5
C. 75/100
D. 1/2
Answer: A
Rationale: 0.75 = 75/100. Divide numerator and denominator by 25: 3/4.
17. A car travels 240 miles in 4 hours. What is its average speed?
A. 50 mph
B. 60 mph
C. 70 mph
D. 80 mph
Answer: B
Rationale: Speed = distance / time = 240 miles / 4 hours = 60 mph.
18. Solve for y: y/3 + 4 = 10
A. 18
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QUESTIONS & CORRECT ANSWERS WITH DETAILED RATIONALES |
GED TESTING SERVICE PREP| LATEST UPDATE
SECTION 1: MATHEMATICAL REASONING (Questions 1–75)
1. Simplify the expression: 3(2x - 4) + 5x
A. 11x - 12
B. 6x - 12
C. 11x + 12
D. 6x + 12
Answer: A
Rationale: Distribute the 3: 3 * 2x = 6x and 3 * -4 = -12. Then combine like
terms: 6x + 5x = 11x. The result is 11x - 12.
2. Solve for x: 2x + 7 = 19
A. x = 5
B. x = 6
C. x = 7
D. x = 12
Answer: B
Rationale: Subtract 7 from both sides: 2x = 12. Divide by 2: x = 6.
3. What is the value of 7 ÷ (-2) + 5?
A. -1.5
B. 1.5
C. -8.5
D. 8.5
Answer: B
Rationale: 7 ÷ (-2) = -3.5. Then -3.5 + 5 = 1.5.
4. What is the greatest common factor (GCF) of 36 and 54?
A. 6
B. 9
C. 18
D. 12
Answer: C
1
,Rationale: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The factors of
54 are 1, 2, 3, 6, 9, 18, 27, 54. The largest common factor is 18.
5. A rectangle has a length of 12 inches and a width of 5 inches. What is its
perimeter?
A. 17 inches
B. 34 inches
C. 60 inches
D. 24 inches
Answer: B
Rationale: Perimeter = 2(length + width) = 2(12 + 5) = 2(17) = 34 inches.
6. What is the area of a circle with a radius of 4 cm?
A. 8π cm²
B. 16π cm²
C. 4π cm²
D. 12π cm²
Answer: B
Rationale: Area = πr² = π(4²) = 16π cm².
7. If a right triangle has legs of 3 and 4, what is the length of the
hypotenuse?
A. 5
B. 6
C. 7
D. 25
Answer: A
Rationale: Using the Pythagorean theorem: a² + b² = c². 3² + 4² = 9 + 16 = 25.
√25 = 5.
8. Solve the inequality: 3x - 5 > 10
A. x > 5
B. x < 5
C. x > 15
D. x < 15
Answer: A
Rationale: Add 5 to both sides: 3x > 15. Divide by 3: x > 5.
2
,9. What is the slope of the line passing through points (2, 3) and (4, 7)?
A. 1
B. 2
C. 3
D. 4
Answer: B
Rationale: Slope = (y₂ - y₁) / (x₂ - x₁) = (7 - 3) / (4 - 2) = = 2.
10. A shirt originally costs $40. It is on sale for 25% off. What is the sale
price?
A. $30
B. $35
C. $25
D. $10
Answer: A
Rationale: 25% of $40 = 0.25 * 40 = $10. Sale price = $40 - $10 = $30.
11. If 5x = 45, what is the value of 2x + 3?
A. 15
B. 18
C. 21
D. 24
Answer: C
Rationale: First, solve for x: 5x = 45 → x = 9. Then 2(9) + 3 = 18 + 3 = 21.
12. What is the median of the following data set: 4, 7, 2, 9, 5, 1, 8?
A. 5
B. 4
C. 7
D. 9
Answer: A
Rationale: Arrange in order: 1, 2, 4, 5, 7, 8, 9. The median is the middle
value: 5.
13. A box has dimensions 3 ft × 4 ft × 5 ft. What is its volume?
A. 12 ft³
B. 20 ft³
C. 60 ft³
3
, D. 30 ft³
Answer: C
Rationale: Volume = length × width × height = 3 × 4 × 5 = 60 ft³.
14. Simplify: (2³)²
A. 2⁵
B. 2⁶
C. 2⁹
D. 2¹
Answer: B
Rationale: When raising a power to a power, multiply the exponents: (2³)² = 2⁶.
15. If f(x) = 2x² - 3x + 1, what is f(2)?
A. 3
B. 5
C. 7
D. 9
Answer: A
Rationale: f(2) = 2(2²) - 3(2) + 1 = 2(4) - 6 + 1 = 8 - 6 + 1 = 3.
16. What is 0.75 expressed as a fraction in simplest form?
A. 3/4
B. 7/5
C. 75/100
D. 1/2
Answer: A
Rationale: 0.75 = 75/100. Divide numerator and denominator by 25: 3/4.
17. A car travels 240 miles in 4 hours. What is its average speed?
A. 50 mph
B. 60 mph
C. 70 mph
D. 80 mph
Answer: B
Rationale: Speed = distance / time = 240 miles / 4 hours = 60 mph.
18. Solve for y: y/3 + 4 = 10
A. 18
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