ASQ Certified Quality Inspector
(CQI) 2026 Exam Success
Blueprint 150 Advanced Multiple-
Choice Questions Covering
Technical Mathematics,
Metrology, Inspection & Test, and
Quality Assurance Domains for
the Sept 1–30 Testing Window
with Detailed Rationales and
Answer Keys.
Table of Contents
Section Domain Question Range Page
I Technical Mathematics Q1–Q38 3
,Section Domain Question Range Page
II Metrology Q39–Q91 12
III Inspection and Test Q92–Q141 28
IV Quality Assurance and Improvement Q142–Q150 42
Section I: Technical Mathematics (Questions 1–38)
Q1. A quality inspector measures five parts with the following dimensions (inches): 1.002, 0.998,
1.001, 0.999, 1.000. What is the mean of these measurements?
A. 0.999
B. 1.000
C. 1.001
D. 1.002
Correct Answer: B
Rationale: The mean is calculated by summing all values and dividing by the count: (1.002 + 0.998 +
1.001 + 0.999 + 1.000) ÷ 5 = 5.000 ÷ 5 = 1.000 inches. The mean is the most commonly used measure of
central tendency and is fundamental to SPC calculations.
Q2. A part has a nominal dimension of 2.500 inches with a bilateral tolerance of ±0.005 inches. What
is the upper specification limit (USL)?
A. 2.490
B. 2.495
C. 2.505
D. 2.510
Correct Answer: C
Rationale: The USL equals the nominal dimension plus the upper tolerance: 2.500 + 0.005 = 2.505
inches. Understanding specification limits is essential for evaluating conformance.
Q3. A batch of 50 parts contains 4 defectives. What percentage of parts is defective?
A. 4%
B. 6%
,C. 8%
D. 10%
Correct Answer: C
Rationale: Percent defective = (number defective ÷ total) × 100 = (4 ÷ 50) × 100 = 8%. This metric is used
in attribute sampling plans and process capability reporting.
Q4. A shaft diameter was previously 1.980 inches and is now measured at 1.960 inches. What is the
percent change?
A. −0.010%
B. −1.01%
C. −1.96%
D. −2.04%
Correct Answer: B
Rationale: Percent change = ((new − original) ÷ original) × 100 = ((1.960 − 1.980) ÷ 1.980) × 100 = (−0.020
÷ 1.980) × 100 ≈ −1.01%. This is a critical shop math skill for tracking dimensional drift.
Q5. Convert the fraction 7/8 to a decimal.
A. 0.785
B. 0.825
C. 0.875
D. 0.925
Correct Answer: C
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator: 7 ÷ 8 = 0.875.
Inspectors routinely perform this conversion when reading blueprints and comparing measurements to
tolerances.
Q6. A rectangular plate has a length of 12.5 cm and a width of 4.2 cm. What is its area?
A. 52.5 cm²
B. 50.0 cm²
C. 48.0 cm²
D. 55.0 cm²
Correct Answer: A
Rationale: Area of a rectangle = length × width = 12.5 × 4.2 = 52.5 cm². Basic geometry calculations are
essential for determining surface areas on inspection drawings.
, Q7. In a right triangle, the side opposite the 30° angle is 5 inches. What is the length of the
hypotenuse?
A. 5 inches
B. 10 inches
C. 8.66 inches
D. 7.07 inches
Correct Answer: B
Rationale: In a 30-60-90 triangle, the hypotenuse is twice the length of the side opposite the 30° angle.
Hypotenuse = 2 × 5 = 10 inches. This applies to trigonometric problem-solving in inspection setups.
Q8. Convert 0.000250 inches to micro-inches.
A. 2.5 micro-inches
B. 25 micro-inches
C. 250 micro-inches
D. 2,500 micro-inches
Correct Answer: C
Rationale: 1 inch = 1,000,000 micro-inches. Therefore, 0.000250 inches × 1,000,000 = 250 micro-inches.
Measurement system conversions are a core technical mathematics skill.
Q9. Express 4,500 in scientific notation.
A. 4.5 × 10²
B. 4.5 × 10³
C. 45 × 10²
D. 0.45 × 10⁴
Correct Answer: B
Rationale: Scientific notation requires a coefficient between 1 and 10 multiplied by a power of 10. 4,500
= 4.5 × 10³. This conversion skill is tested for numeric data handling.
Q10. In a perfectly normal distribution, what percentage of data falls within ±2 standard deviations
of the mean?
A. 68.27%
B. 95.45%
(CQI) 2026 Exam Success
Blueprint 150 Advanced Multiple-
Choice Questions Covering
Technical Mathematics,
Metrology, Inspection & Test, and
Quality Assurance Domains for
the Sept 1–30 Testing Window
with Detailed Rationales and
Answer Keys.
Table of Contents
Section Domain Question Range Page
I Technical Mathematics Q1–Q38 3
,Section Domain Question Range Page
II Metrology Q39–Q91 12
III Inspection and Test Q92–Q141 28
IV Quality Assurance and Improvement Q142–Q150 42
Section I: Technical Mathematics (Questions 1–38)
Q1. A quality inspector measures five parts with the following dimensions (inches): 1.002, 0.998,
1.001, 0.999, 1.000. What is the mean of these measurements?
A. 0.999
B. 1.000
C. 1.001
D. 1.002
Correct Answer: B
Rationale: The mean is calculated by summing all values and dividing by the count: (1.002 + 0.998 +
1.001 + 0.999 + 1.000) ÷ 5 = 5.000 ÷ 5 = 1.000 inches. The mean is the most commonly used measure of
central tendency and is fundamental to SPC calculations.
Q2. A part has a nominal dimension of 2.500 inches with a bilateral tolerance of ±0.005 inches. What
is the upper specification limit (USL)?
A. 2.490
B. 2.495
C. 2.505
D. 2.510
Correct Answer: C
Rationale: The USL equals the nominal dimension plus the upper tolerance: 2.500 + 0.005 = 2.505
inches. Understanding specification limits is essential for evaluating conformance.
Q3. A batch of 50 parts contains 4 defectives. What percentage of parts is defective?
A. 4%
B. 6%
,C. 8%
D. 10%
Correct Answer: C
Rationale: Percent defective = (number defective ÷ total) × 100 = (4 ÷ 50) × 100 = 8%. This metric is used
in attribute sampling plans and process capability reporting.
Q4. A shaft diameter was previously 1.980 inches and is now measured at 1.960 inches. What is the
percent change?
A. −0.010%
B. −1.01%
C. −1.96%
D. −2.04%
Correct Answer: B
Rationale: Percent change = ((new − original) ÷ original) × 100 = ((1.960 − 1.980) ÷ 1.980) × 100 = (−0.020
÷ 1.980) × 100 ≈ −1.01%. This is a critical shop math skill for tracking dimensional drift.
Q5. Convert the fraction 7/8 to a decimal.
A. 0.785
B. 0.825
C. 0.875
D. 0.925
Correct Answer: C
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator: 7 ÷ 8 = 0.875.
Inspectors routinely perform this conversion when reading blueprints and comparing measurements to
tolerances.
Q6. A rectangular plate has a length of 12.5 cm and a width of 4.2 cm. What is its area?
A. 52.5 cm²
B. 50.0 cm²
C. 48.0 cm²
D. 55.0 cm²
Correct Answer: A
Rationale: Area of a rectangle = length × width = 12.5 × 4.2 = 52.5 cm². Basic geometry calculations are
essential for determining surface areas on inspection drawings.
, Q7. In a right triangle, the side opposite the 30° angle is 5 inches. What is the length of the
hypotenuse?
A. 5 inches
B. 10 inches
C. 8.66 inches
D. 7.07 inches
Correct Answer: B
Rationale: In a 30-60-90 triangle, the hypotenuse is twice the length of the side opposite the 30° angle.
Hypotenuse = 2 × 5 = 10 inches. This applies to trigonometric problem-solving in inspection setups.
Q8. Convert 0.000250 inches to micro-inches.
A. 2.5 micro-inches
B. 25 micro-inches
C. 250 micro-inches
D. 2,500 micro-inches
Correct Answer: C
Rationale: 1 inch = 1,000,000 micro-inches. Therefore, 0.000250 inches × 1,000,000 = 250 micro-inches.
Measurement system conversions are a core technical mathematics skill.
Q9. Express 4,500 in scientific notation.
A. 4.5 × 10²
B. 4.5 × 10³
C. 45 × 10²
D. 0.45 × 10⁴
Correct Answer: B
Rationale: Scientific notation requires a coefficient between 1 and 10 multiplied by a power of 10. 4,500
= 4.5 × 10³. This conversion skill is tested for numeric data handling.
Q10. In a perfectly normal distribution, what percentage of data falls within ±2 standard deviations
of the mean?
A. 68.27%
B. 95.45%
