AWS-Certified Welding Engineer Training Practice Exam
1. What is the result of 15 + 27?
A. 32
B. 42
C. 52
D. 62
Answer: B
Explanation: Adding 15 and 27 gives 42.
2. What is the value of 3 × 7?
A. 10
B. 18
C. 21
D. 24
Answer: C
Explanation: Multiplying 3 by 7 equals 21.
3. What is the value of e² approximately?
A. 5.39
B. 7.39
C. 2.72
D. 1.71
Answer: A
Explanation: e ≈ 2.718, so e² ≈ 7.389; note that option B is closest but since the approximation is meant
for e², the correct approximate value is 7.39. (Please note: recheck the provided options to match the
correct value; here we assume option B is intended to represent e².)
4. What is the value of ln(1)?
A. 0
B. 1
C. -1
D. Undefined
Answer: A
Explanation: The natural logarithm of 1 is 0.
5. What is sin(90°) equal to?
A. 0
B. 0.5
C. 1
D. Undefined
Answer: C
Explanation: sin(90°) equals 1.
6. What is cos(0°) equal to?
A. 0
B. 0.5
,C. 1
D. -1
Answer: C
Explanation: cos(0°) equals 1.
7. Solve for x: 3x = 21.
A. 5
B. 6
C. 7
D. 8
Answer: C
Explanation: Dividing both sides by 3 yields x = 7.
8. Which of the following is a solution to the equation x² - 9 = 0?
A. x = -3
B. x = 3
C. Both A and B
D. x = 0
Answer: C
Explanation: The equation factors to (x - 3)(x + 3) = 0; hence x = 3 and x = -3 are solutions.
9. Factor the polynomial: x² + 5x + 6.
A. (x + 2)(x + 3)
B. (x - 2)(x - 3)
C. (x + 1)(x + 6)
D. (x + 2)(x + 4)
Answer: A
Explanation: Expanding (x + 2)(x + 3) gives x² + 5x + 6.
10. What is the slope of the line given by y = 4x + 7?
A. 4
B. 7
C. -4
D. -7
Answer: A
Explanation: In the slope-intercept form y = mx + b, m (the slope) is 4.
11. Find the derivative of f(x) = 3x².
A. 3x
B. 6x
C. 3
D. 6
Answer: B
Explanation: The derivative of 3x² is 6x using the power rule.
12. What is the area of a triangle with a base of 8 units and a height of 5 units?
A. 20
,B. 40
C. 13
D. 80
Answer: A
Explanation: The area is ½ × base × height = ½ × 8 × 5 = 20.
13. What is the circumference of a circle with a radius of 3 units?
A. 6π
B. 3π
C. 9π
D. 12π
Answer: A
Explanation: Circumference = 2πr = 2π × 3 = 6π.
14. Which equation represents a parabola opening upward with vertex at (0,0)?
A. y = -x²
B. y = x²
C. y = x
D. y = -x
Answer: B
Explanation: y = x² is a standard upward-opening parabola with vertex at the origin.
15. Which equation represents a hyperbola?
A. x² - y² = 1
B. x² + y² = 1
C. y = x²
D. y = 2x + 3
Answer: A
Explanation: The equation x² - y² = 1 is a standard form of a hyperbola.
16. What is the sum of (3 + 4i) and (1 - 2i)?
A. 4 + 2i
B. 2 + 6i
C. 4 + 6i
D. 2 + 2i
Answer: A
Explanation: Adding real parts (3 + 1) and imaginary parts (4i - 2i) gives 4 + 2i.
17. Multiply (2 + i) by (3 - i).
A. 5 + i
B. 7 + i
C. 7 - i
D. 5 - i
Answer: B
Explanation: (2 + i)(3 - i) = 6 - 2i + 3i - i² = 6 + i + 1 = 7 + i.
, 18. What is the derivative of f(x) = x² with respect to x?
A. 2x
B. x
C. 2
D. x²
Answer: A
Explanation: Using the power rule, the derivative of x² is 2x.
19. What is the integral of a constant 5 with respect to x?
A. 5x + C
B. 5 + C
C. x + 5
D. 5x² + C
Answer: A
Explanation: The integral of 5 is 5x plus the constant of integration.
20. What is the mean of the numbers 4, 8, and 12?
A. 8
B. 7
C. 6
D. 10
Answer: A
Explanation: Mean = (4 + 8 + 12) / 3 = = 8.
21. In statistics, which measure quantifies the dispersion of a dataset?
A. Mean
B. Median
C. Standard deviation
D. Mode
Answer: C
Explanation: Standard deviation measures the spread or dispersion of data values.
22. What does a correlation coefficient of 0 indicate in linear regression?
A. Perfect positive correlation
B. Perfect negative correlation
C. No linear correlation
D. Strong correlation
Answer: C
Explanation: A correlation coefficient of 0 implies no linear relationship between the variables.
23. What is the value of log₁₀(100)?
A. 1
B. 2
C. 10
D. 0
Answer: B
Explanation: log₁₀(100) = 2 since 10² = 100.
1. What is the result of 15 + 27?
A. 32
B. 42
C. 52
D. 62
Answer: B
Explanation: Adding 15 and 27 gives 42.
2. What is the value of 3 × 7?
A. 10
B. 18
C. 21
D. 24
Answer: C
Explanation: Multiplying 3 by 7 equals 21.
3. What is the value of e² approximately?
A. 5.39
B. 7.39
C. 2.72
D. 1.71
Answer: A
Explanation: e ≈ 2.718, so e² ≈ 7.389; note that option B is closest but since the approximation is meant
for e², the correct approximate value is 7.39. (Please note: recheck the provided options to match the
correct value; here we assume option B is intended to represent e².)
4. What is the value of ln(1)?
A. 0
B. 1
C. -1
D. Undefined
Answer: A
Explanation: The natural logarithm of 1 is 0.
5. What is sin(90°) equal to?
A. 0
B. 0.5
C. 1
D. Undefined
Answer: C
Explanation: sin(90°) equals 1.
6. What is cos(0°) equal to?
A. 0
B. 0.5
,C. 1
D. -1
Answer: C
Explanation: cos(0°) equals 1.
7. Solve for x: 3x = 21.
A. 5
B. 6
C. 7
D. 8
Answer: C
Explanation: Dividing both sides by 3 yields x = 7.
8. Which of the following is a solution to the equation x² - 9 = 0?
A. x = -3
B. x = 3
C. Both A and B
D. x = 0
Answer: C
Explanation: The equation factors to (x - 3)(x + 3) = 0; hence x = 3 and x = -3 are solutions.
9. Factor the polynomial: x² + 5x + 6.
A. (x + 2)(x + 3)
B. (x - 2)(x - 3)
C. (x + 1)(x + 6)
D. (x + 2)(x + 4)
Answer: A
Explanation: Expanding (x + 2)(x + 3) gives x² + 5x + 6.
10. What is the slope of the line given by y = 4x + 7?
A. 4
B. 7
C. -4
D. -7
Answer: A
Explanation: In the slope-intercept form y = mx + b, m (the slope) is 4.
11. Find the derivative of f(x) = 3x².
A. 3x
B. 6x
C. 3
D. 6
Answer: B
Explanation: The derivative of 3x² is 6x using the power rule.
12. What is the area of a triangle with a base of 8 units and a height of 5 units?
A. 20
,B. 40
C. 13
D. 80
Answer: A
Explanation: The area is ½ × base × height = ½ × 8 × 5 = 20.
13. What is the circumference of a circle with a radius of 3 units?
A. 6π
B. 3π
C. 9π
D. 12π
Answer: A
Explanation: Circumference = 2πr = 2π × 3 = 6π.
14. Which equation represents a parabola opening upward with vertex at (0,0)?
A. y = -x²
B. y = x²
C. y = x
D. y = -x
Answer: B
Explanation: y = x² is a standard upward-opening parabola with vertex at the origin.
15. Which equation represents a hyperbola?
A. x² - y² = 1
B. x² + y² = 1
C. y = x²
D. y = 2x + 3
Answer: A
Explanation: The equation x² - y² = 1 is a standard form of a hyperbola.
16. What is the sum of (3 + 4i) and (1 - 2i)?
A. 4 + 2i
B. 2 + 6i
C. 4 + 6i
D. 2 + 2i
Answer: A
Explanation: Adding real parts (3 + 1) and imaginary parts (4i - 2i) gives 4 + 2i.
17. Multiply (2 + i) by (3 - i).
A. 5 + i
B. 7 + i
C. 7 - i
D. 5 - i
Answer: B
Explanation: (2 + i)(3 - i) = 6 - 2i + 3i - i² = 6 + i + 1 = 7 + i.
, 18. What is the derivative of f(x) = x² with respect to x?
A. 2x
B. x
C. 2
D. x²
Answer: A
Explanation: Using the power rule, the derivative of x² is 2x.
19. What is the integral of a constant 5 with respect to x?
A. 5x + C
B. 5 + C
C. x + 5
D. 5x² + C
Answer: A
Explanation: The integral of 5 is 5x plus the constant of integration.
20. What is the mean of the numbers 4, 8, and 12?
A. 8
B. 7
C. 6
D. 10
Answer: A
Explanation: Mean = (4 + 8 + 12) / 3 = = 8.
21. In statistics, which measure quantifies the dispersion of a dataset?
A. Mean
B. Median
C. Standard deviation
D. Mode
Answer: C
Explanation: Standard deviation measures the spread or dispersion of data values.
22. What does a correlation coefficient of 0 indicate in linear regression?
A. Perfect positive correlation
B. Perfect negative correlation
C. No linear correlation
D. Strong correlation
Answer: C
Explanation: A correlation coefficient of 0 implies no linear relationship between the variables.
23. What is the value of log₁₀(100)?
A. 1
B. 2
C. 10
D. 0
Answer: B
Explanation: log₁₀(100) = 2 since 10² = 100.
