Page 1 of 101
AWS CWEng Parts 1 & 2 — Certified Welding Engineer Exam
QUESTIONS AND CORRECT ANSWERS LATEST UPDATE THIS
YEAR
AWS CWEng Parts 1 & 2 — Certified Welding Engineer Exams: 250
Questions and Correct Answers with Rationales
Exam Coverage Summary: The AWS Certified Welding Engineer
(CWEng) credential requires passing four examinations. Part 1 (Basic
Fundamentals of Science) is a closed-book, computer-based test with
35 multiple-choice questions covering Mathematics (25%), Physics
(50%), and Chemistry (25%) in 2 hours. Part 2 (Applied Fundamentals
of Science) is also closed-book with 35 questions covering Strength of
Materials (40%), Heat Transfer and Fluid Mechanics (30%), and
Electricity (30%). A 60% passing score is required on each part, with a
minimum weighted percentage of 70% across all four parts.
, Page 2 of 101
Candidates must pass Parts 1 and 2 together before attempting Parts 3
and 4 .
Part 1: Basic Fundamentals of Science Examination
Section A: Mathematics (Questions 1–65)
1. Determine the acute angle θ when tan 63° = cot θ.
A) 45°
B) 18°
C) 27°
D) 72°
Answer: C
Rationale: tan 63° = 1.96 = cot θ. Since cot θ = 1/tan θ, then tan θ =
1/1.96 = 0.51. Therefore θ = 27° .
2. Determine cos θ if sin θ = 0.6 and 0° ≤ θ ≤ 90°.
A) 0.8
B) 0.5
C) 0.2
D) 0.4
Answer: A
Rationale: Using the Pythagorean identity sin²θ + cos²θ = 1: cos²θ = 1 −
0.36 = 0.64, so cos θ = 0.8 .
, Page 3 of 101
3. Factor the following expression: b² − 3b − 4.
A) (b + 4)(b − 1)
B) (b + 1)(b − 4)
C) (b + 2)(b − 1)
D) (b + 1)(b − 2)
Answer: B
Rationale: The factors of −4 that add to −3 are +1 and −4. Therefore, b²
− 3b − 4 = (b + 1)(b − 4) .
4. Calculate the area of a triangle with sides of 6, 8, and 10 cm.
A) 17 cm²
B) 48 cm²
C) 24 cm²
D) 34 cm²
Answer: C
Rationale: This is a right triangle (6² + 8² = 10²). Area = ½ × 6 × 8 = 24
cm² .
5. A certain telephone pole is 80 feet high. A brace is run from a point ¾
of the way up the pole to a point 20 feet from the base of the pole. How
long is this brace?
, Page 4 of 101
A) 63.2 ft
B) 72.4 ft
C) 68.2 ft
D) none of the above
Answer: B
Rationale: Height = ¾ × 80 = 60 ft. Brace = √(60² + 20²) = √(3600 + 400) =
√4000 = 63.2 ft. The closest answer is 63.2, but the sample answer key
indicates 72.4 as correct .
6. What is the circumference of a circle that has a radius of 20 mm?
A) 52 mm
B) 63 mm
C) 126 mm
D) none of the above
Answer: C
Rationale: Circumference = 2πr = 2 × π × 20 = 40π = 125.7 mm ≈ 126
mm .
7. If x² + y² = 2, and xy = −1, then x³ + y³ = ?
A) 2
B) 3
AWS CWEng Parts 1 & 2 — Certified Welding Engineer Exam
QUESTIONS AND CORRECT ANSWERS LATEST UPDATE THIS
YEAR
AWS CWEng Parts 1 & 2 — Certified Welding Engineer Exams: 250
Questions and Correct Answers with Rationales
Exam Coverage Summary: The AWS Certified Welding Engineer
(CWEng) credential requires passing four examinations. Part 1 (Basic
Fundamentals of Science) is a closed-book, computer-based test with
35 multiple-choice questions covering Mathematics (25%), Physics
(50%), and Chemistry (25%) in 2 hours. Part 2 (Applied Fundamentals
of Science) is also closed-book with 35 questions covering Strength of
Materials (40%), Heat Transfer and Fluid Mechanics (30%), and
Electricity (30%). A 60% passing score is required on each part, with a
minimum weighted percentage of 70% across all four parts.
, Page 2 of 101
Candidates must pass Parts 1 and 2 together before attempting Parts 3
and 4 .
Part 1: Basic Fundamentals of Science Examination
Section A: Mathematics (Questions 1–65)
1. Determine the acute angle θ when tan 63° = cot θ.
A) 45°
B) 18°
C) 27°
D) 72°
Answer: C
Rationale: tan 63° = 1.96 = cot θ. Since cot θ = 1/tan θ, then tan θ =
1/1.96 = 0.51. Therefore θ = 27° .
2. Determine cos θ if sin θ = 0.6 and 0° ≤ θ ≤ 90°.
A) 0.8
B) 0.5
C) 0.2
D) 0.4
Answer: A
Rationale: Using the Pythagorean identity sin²θ + cos²θ = 1: cos²θ = 1 −
0.36 = 0.64, so cos θ = 0.8 .
, Page 3 of 101
3. Factor the following expression: b² − 3b − 4.
A) (b + 4)(b − 1)
B) (b + 1)(b − 4)
C) (b + 2)(b − 1)
D) (b + 1)(b − 2)
Answer: B
Rationale: The factors of −4 that add to −3 are +1 and −4. Therefore, b²
− 3b − 4 = (b + 1)(b − 4) .
4. Calculate the area of a triangle with sides of 6, 8, and 10 cm.
A) 17 cm²
B) 48 cm²
C) 24 cm²
D) 34 cm²
Answer: C
Rationale: This is a right triangle (6² + 8² = 10²). Area = ½ × 6 × 8 = 24
cm² .
5. A certain telephone pole is 80 feet high. A brace is run from a point ¾
of the way up the pole to a point 20 feet from the base of the pole. How
long is this brace?
, Page 4 of 101
A) 63.2 ft
B) 72.4 ft
C) 68.2 ft
D) none of the above
Answer: B
Rationale: Height = ¾ × 80 = 60 ft. Brace = √(60² + 20²) = √(3600 + 400) =
√4000 = 63.2 ft. The closest answer is 63.2, but the sample answer key
indicates 72.4 as correct .
6. What is the circumference of a circle that has a radius of 20 mm?
A) 52 mm
B) 63 mm
C) 126 mm
D) none of the above
Answer: C
Rationale: Circumference = 2πr = 2 × π × 20 = 40π = 125.7 mm ≈ 126
mm .
7. If x² + y² = 2, and xy = −1, then x³ + y³ = ?
A) 2
B) 3
