A quality inspector needs to convert 3/8 inch to a decimal. What is the correct decimal equivalent?
Technical Math
Question · Easy
Fishbone diagram, x-rayed
Short
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)?
Average found by adding all observations and dividing by their count.
Technical mathematics
Guess the Term
Chapter 1: Shop Mathematics & Algebra
1.1 Basic Shop Math & Precision Measurement
Study guide
An 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?
Read the clue and guess the term in 6 tries.
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A batch of 50 parts contains 4 defectives. What percentage of parts is defective?
Middle observation after the data are sorted, with half falling on each side.
A shaft diameter was previously 1.980 inches and is now measured at 1.960 inches. What is the percent change?
Question · Medium
Hundreds of balls make a bell curve
Which formula correctly calculates the area of a circle with diameter d?
Value that occurs most frequently in a sample.
1.2 Basic Algebra & Technical Formulas
An 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)?
Question · Hard
Swap tiles to line up three of the same term.
Term Match
Convert 25.4 millimeters to inches.
Difference between the largest and smallest observations in a data set.
A dataset has values 5, 7, 7, 8, 10, 12. What is the median?
Stats test: find the median
Which statement best describes a normal distribution?
Inspection instrument that checks the size, shape and location of features on a part set on its table.
Metrology
1.3 Measurement Systems & Unit Conversions
What is the resolution of a measuring instrument?
Flip two cards at a time to find matching terms.
Term Pairs
An outside micrometer with 0.001-inch graduation reads 0.750 inches. The thimble is advanced one additional graduation. What is the new reading?
Quantity, measured in kilograms, established when a standard weight is calibrated with an uncertainty.
A vernier caliper has a main scale reading of 1.2 inches and the vernier scale 7th line coincides with a main scale line. If the vernier has 25 divisions equal to 24 main-scale divisions (least count = 0.001 inch), what is the total reading?
Gauge blocks are primarily used for which purpose?
Difference between a distribution's average or expected value and its true value.
Chapter 2: Geometry & Applied Shop Trigonometry
2.1 Applied Shop Geometry
In a Gage Repeatability and Reproducibility (Gage R&R) study, 'reproducibility' refers to:
Find five hidden terms in a grid of letters.
Term Search
Metrological traceability means that a measurement result can be related to:
Touch sensor that a coordinate measuring machine uses to detect points on an object.
Which type of gauge is best suited for quickly determining whether a shaft diameter is within the go/no-go tolerance?
When zeroing an outside micrometer before use, what is the purpose of using a reference standard (gauge block or master)?
Coherent beam source used in an interferometer to measure distances between points on a part.
2.2 Right-Triangle Trigonometry
A Coordinate Measuring Machine (CMM) is primarily used to:
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In a Gage R&R study, if %Gage R&R = 28% of tolerance, the measurement system is classified as:
Baseline defect percentage that a supplier's process is expected to meet and that a sampling plan is built around.
Inspection and test
Which GD&T symbol represents flatness?
Inspection Test
On a drawing, a feature control frame reads: ⊙ ∅0.005 M A B. The symbol 'M' following the tolerance value refers to which GD&T condition?
Group of units from which a sample is drawn and then accepted or rejected.
2.3 Shop Trigonometry Applications & Sine Bars
A hole is specified on a drawing as ∅ 0.500 +0.002/−0.000. What is the minimum acceptable hole diameter?
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