CQI Sample Questions & Answers
Reading blueprints and planning inspections carries the biggest share, ahead of metrology with its gauges and measurement instruments, quality improvement and audits, and basic shop math, algebra and geometry.
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- Question 1Advanced
Technical Mathematics · Basic Trigonometry
An inspector needs to set up a 5-inch sine bar to inspect an angled surface specified at 12 degrees. What is the correct total height of the gauge block stack required to achieve this angle?
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Correct answer: B
The height of the gauge block stack for a sine bar is calculated using the formula: Height = Sine(Angle) × Length of Sine Bar. For a 12-degree angle and a 5-inch sine bar: sin(12°) ≈ 0.2079. Height = 0.2079 × 5 = 1.0395 inches (rounds to 1.039 depending on table precision, but exactly 1.0395).
flowchart LR A[Determine Angle: 12°] --> B[Calculate Sine: 0.2079] B --> C[Multiply by Bar Length: 5"] C --> D[Stack Height: 1.0395"] - Question 2IntermediateSelect 2
Technical Mathematics · Measurement Systems
When converting technical drawing specifications between the English system and the SI metric system, which TWO of the following conversion factors are mathematically correct? (Select TWO)
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Correct answers: A, B
1 inch is exactly equal to 25.4 millimeters. 1 millimeter is approximately equal to 0.03937 inches. The other options contain common conversion factor errors.
1 inch is exactly equal to 25.4 millimeters. 1 millimeter is approximately equal to 0.03937 inches. The other options contain common conversion factor errors.
- Question 3Beginner
Technical Mathematics · Basic Statistics and Applications
True or False: In a perfectly normal distribution (bell curve), the mean, median, and mode are all located at the exact center of the distribution.
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Correct answer: A
In a perfect normal distribution, the data is perfectly symmetrical, meaning the arithmetic average (mean), the middle value (median), and the most frequently occurring value (mode) are all identical and located at the exact peak (center) of the bell curve.
- Question 4Intermediate
Technical Mathematics · Basic Statistics and Applications
During a process capability study, a quality inspector determines that the standard deviation of a machined part's length is 0.04 mm. The mathematical variance of this data set is _____ mm².
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Correct answer: A
Variance is defined mathematically as the square of the standard deviation (σ²). Therefore, 0.04 × 0.04 = 0.0016.
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