100+ Free CQI Practice Questions

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Question 1

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An inspector finds a part that is in a gray area — it measures at the boundary of the specification limit. Per standard quality practice, the correct action is to:

Accept the part if the customer will not notice the borderline condition

Document the measurement carefully, segregate the part, and escalate to engineering or MRB for disposition

Immediately scrap the part without review

Accept the part and note the borderline measurement without further action

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2026 Statistics

Key Facts: CQI Exam

~60%

Pass Rate

ASQ 2024

100

Scored Questions

ASQ

4h 18m

Exam Duration

ASQ

$460

Exam Fee

ASQ

3 yrs

Experience Required

ASQ

Open Book

Exam Format

ASQ

The CQI has 100 scored items (plus 10 unscored) in 4h 18m. Open-book exam. Pass rate ~60%. Covers technical math, metrology (measurement tools, calibration, Gage R&R), inspection and test (GD&T, sampling plans, NDT), and quality assurance (SPC, CAPA, 7 QC tools).

Sample CQI Practice Questions

Try these sample questions to test your CQI exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A quality inspector needs to convert 3/8 inch to a decimal. What is the correct decimal equivalent?

A.0.325

B.0.375

C.0.350

D.0.385

Explanation: To convert a fraction to a decimal, divide the numerator by the denominator: 3 ÷ 8 = 0.375. This is a fundamental shop math skill that inspectors use daily when reading blueprints and comparing measurements to tolerances.

2A 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

Explanation: The upper specification limit equals the nominal dimension plus the upper tolerance: 2.500 + 0.005 = 2.505 inches. The lower specification limit would be 2.500 − 0.005 = 2.495 inches. Understanding USL and LSL is fundamental for evaluating whether a measured dimension conforms to the drawing requirement.

3An 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

Explanation: The mean is the sum of all values divided 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 essential for SPC calculations.

4A batch of 50 parts contains 4 defectives. What percentage of parts is defective?

A.4%

B.6%

C.8%

D.10%

Explanation: Percent defective = (number defective ÷ total) × 100 = (4 ÷ 50) × 100 = 8%. The percent defective metric is used in attribute sampling plans and process capability reporting to quantify nonconformance rates.

5A 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%

Explanation: Percent change = ((new − original) ÷ original) × 100 = ((1.960 − 1.980) ÷ 1.980) × 100 = (−0.020 ÷ 1.980) × 100 ≈ −1.01%. A negative percent change indicates a decrease in the measured value. This formula is frequently tested in the CQI math domain.

6Which formula correctly calculates the area of a circle with diameter d?

A.A = π × d

B.A = π × d²

C.A = (π/4) × d²

D.A = 2π × d

Explanation: The area of a circle is A = π × r², where r = d/2. Substituting r = d/2 gives A = π × (d/2)² = π × d²/4 = (π/4) × d². Inspectors must calculate areas for force/pressure computations and cross-sectional area checks on machined parts.

7An inspector measures 10 parts with a range of 0.008 inches and a mean of 1.500 inches. What is the approximate standard deviation using the d₂ factor for n=10 (d₂ = 3.078)?

A.0.0013 inches

B.0.0026 inches

C.0.0040 inches

D.0.0080 inches

Explanation: Standard deviation can be estimated from the range using σ̂ = R̄/d₂. With R = 0.008 and d₂ = 3.078: σ̂ = 0.008 ÷ 3.078 ≈ 0.0026 inches. This relationship is fundamental in SPC and gage R&R calculations where subgroup ranges are used to estimate process variation.

8Convert 25.4 millimeters to inches.

A.0.1 inch

B.0.25 inch

C.1.0 inch

D.2.54 inches

Explanation: By definition, 1 inch = 25.4 mm, so 25.4 mm ÷ 25.4 = 1.0 inch. Inspectors frequently convert between metric and imperial units when working with international drawings or mixed-unit specifications.

9A dataset has values 5, 7, 7, 8, 10, 12. What is the median?

A.7

B.7.5

C.8

D.8.2

Explanation: With an even number of values (6), the median is the average of the two middle values: (7 + 8) ÷ 2 = 7.5. The median is more resistant to extreme values than the mean, making it useful for skewed data distributions in inspection settings.

10Which statement best describes a normal distribution?

A.It is always skewed to the right with a long tail

B.It is symmetrical and bell-shaped with the mean, median, and mode equal

C.It has two peaks and is bimodal by definition

D.It applies only to attribute data such as pass/fail counts

Explanation: A normal (Gaussian) distribution is symmetrical and bell-shaped, where the mean, median, and mode all coincide at the center. Approximately 68% of values fall within ±1σ, 95.4% within ±2σ, and 99.73% within ±3σ. This distribution underlies most SPC and process capability calculations.

About the CQI Exam

The CQI validates the ability of an inspector to use proven quality techniques under professional direction. Certified Quality Inspectors evaluate hardware documentation, perform laboratory procedures, inspect products, measure process performance, record data, and prepare formal inspection reports.

Questions

100 scored questions

Time Limit

4 hours 18 minutes

Passing Score

Scaled score (cut score not publicly disclosed by ASQ)

Exam Fee

$360 (members) / $460 (non-members) (American Society for Quality (ASQ))

CQI Exam Content Outline

19%

Technical Mathematics

Shop math (fractions, decimals, percent change), algebra, geometry (area, Pythagorean theorem), measurement conversions, and statistics (mean, median, mode, range, standard deviation, normal distribution)

26%

Metrology

Variable gauges (micrometers, calipers, CMMs), attribute gauges (go/no-go), gauge blocks, surface finish (Ra), calibration and traceability, Gage R&R / MSA (bias, repeatability, reproducibility, linearity)

32%

Inspection and Test

Blueprint reading, GD&T (form, orientation, location, runout tolerances), ANSI/ASQ Z1.4 attribute sampling, Z1.9 variables sampling, OC curves, inspection planning, first article inspection, nonconforming material / MRB, NDT methods (UT, PT, RT, MPI, ECT)

23%

Quality Assurance and Improvement

Quality systems, internal audits, CAPA, 7 QC tools, X-bar and R / p / c / I-MR control charts, process capability (Cp, Cpk), WECO run rules, control plans, workplace safety (LOTO, PPE)

How to Pass the CQI Exam

What You Need to Know

Passing score: Scaled score (cut score not publicly disclosed by ASQ)
Exam length: 100 questions
Time limit: 4 hours 18 minutes
Exam fee: $360 (members) / $460 (non-members)

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

CQI Study Tips from Top Performers

1Bring well-organized references tabbed by topic — especially ANSI/ASQ Z1.4 sampling tables and GD&T symbol charts

2Know all four BoK domains; Inspection and Test is the largest at 32% of scored questions

3Practice Gage R&R calculations and understand the AIAG thresholds (<10%, 10-30%, >30%)

4Memorize the 7 QC tools and be able to identify when to use each one

5Know Cp and Cpk formulas and be able to interpret capability results relative to the 1.33 benchmark

Frequently Asked Questions

What is the CQI pass rate?

60% in 2024 per ASQ's published pass-rate table. The exam has 100 scored questions in 4h 18m and is open book.

What are the CQI experience requirements?

3 years of full-time paid work experience in CQI BoK areas. Degree holders receive partial waivers (up to 2 years waived for a bachelor's degree or higher).

What standards are covered on the CQI exam?

Key standards include ANSI/ASQ Z1.4 (attribute sampling), ANSI/ASQ Z1.9 (variables sampling), ASME Y14.5 GD&T, and ISO 9001 quality system concepts. NDT methods follow ASNT guidelines.

Is the CQI exam open book?

Yes. All ASQ CQI exams (computer-based and paper-based) are open book. You may bring your own reference materials and a non-programmable calculator.

100+ Free CQI Practice Questions

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