Math & Measuring Flashcards
Practice reading various gages and performing the type of math used in weld inspection.
What dimension is shown on the dial caliper?

4.430”
What dimension is shown on the dial caliper?

0.617”
What measurement is being shown on the dial caliper?

0.8165”
What dimension is shown on the dial caliper?

0.794”
What dimension is shown on the dial caliper?

0.448”
What dimension is being shown on this dial caliper?

0.730”
What dimension is shown on the dial caliper?

0.384”
What dimension is sown on the dial caliper?

0.665”
What dimension is shown on the dial caliper?

2.317”
What dimension is shown on the V-wac guage?

3/32”
What dimension is shown on this V-wac gauge?

3/64”
What dimension is shown on this V-wac gauge?

3/64”
What dimension is shown on this V-wac guage?

between 1/64” and 1/32”
What dimension is shown on this V-wac guage?

Between 5/64” and 3/32”
What dimension is shown on this bridge cam gauge?

3/16”
How long is the third line down?

6-11/16”
How long is the bottom line?

8-1/4”
How long is the top line?

9-3/4”
What dimension is shown on the machinist scale?

1-11/32”
What fraction is the pen pointing to?

3-3/8”
How long is the line?

2-19/32”
What fraction is the arrow pointing to?

1-1/8”
What fraction is the arrow pointing to?

31/32”
What dimension is the arrow pointing to?

5-3/16”
What dimension is the arrow pointing to?

10-13/16”
What dimension is the arrow pointing to?

7-1/4”
What dimension is the arrow pointing to?

4-5/8”
8/64 reduces to what fraction?
1/8
8/64 = 4/32 = 2/16 = 1/8
What is 0.125 as a fraction?
1/8
dividing by 5’s: 125/1000 = 25/200 = 5/40 = 1/8
What is 90% as a fraction?
9/10
90/100 = 9/10
What is 45% as a fraction?
9/20
dividing by 5’s: 45/100 = 9/20
6/16 reduces to what fraction?
3/8
How many 64ths are in an inch?
64
What is 20% as a fraction?
1/5
dividing by 5’s: 20/100 = 2/10 = 1/5
1/4” is how many thousanths?
0.250 (250 thousanths)
What is 1/8 as a decimal?
0.125
What is 30% as a decimal?
0.3
1/2” is how many thousandths?
0.500 (five hundred thousandths)
What is 1/2 as a decimal?
0.5
What is 65% as a decimal?
0.65
What is 25% as a decimal?
0.25
What is 1/4 as a decimal?
0.25
Which is less: 3/8” or 5/64”?
5/64”
Which is greater: 3/8” or 1/4”?
3/8”
Which is less 3/32” or 1/16”?
1/16”
Which is greater 9/16” or 1/2”?
9/16”
Which is less 3/4” or 13/16”?
3/4”
Which is greater 5/16” or 1/4”?
5/16”
True or false?
5/8” ≥ 11/16”
FALSE
What does this mean?
≥ 1”
Greater than or equal to 1”
What does this mean?
> 5/8”
Greater than 5/8”
What does this mean?
≤ 3”
Less than or equal to 3”
True of false?
1/4” < 3/16”
FALSE
True or false?
7/64” > 1/2”
FALSE
True or false?
0.625” ≤ 5/8”
True
0.625 = 5/8
True or false?
0.125” ≤ 1/8”
True
0.125 = 1/8
True or false?
5/16” < 1/4”
FALSE
2” +/- 1/32 = what min. and max. dimensions?
1-31/32” to 2-1/32”
1/2” +/- 1/64” has what min. and max. dimensions?
31/64” - 33/64”
3/4” +/- 1/8” has what min. and max. dimensions?
5/8” - 7/8”
95 ksi is how many psi?
95,000 psi
1,000,000 psi is how many ksi?
1,000 ksi
What is 1/2 as a percent?
50%
What is 25% of 1/2”?
1/8”
0.25 x 0.5 = .125
What is 1/4 as a percent?
25%
What is 95% of 1,000?
950
0.95 x 1,000 = 950
What is 3/4 as a percentage?
75%
How much is the internal high-low (mismatch) shown here?

1/16”
2/32 = 1/16
How much is the external high-low (mismatch) shown here?

1/8” (4/32)
How much is the undercut shown here?

1/32”
Is the reinforcement shown here less than 1/8”?

No
What is the theoretical throat shown here?

3/8”
How much undercut is being shown here?

3/32”
How much reinforcement is being shown here?

5/32”
What is the UTS (ultimate tensile strength) of a tensile specimen that had an area of 0.5 sq. in. and broke at an ultimate load of 50,000 lbs?
100,000 psi (100 ksi)
100,000/.5 = 100,000
What is UTS (ultimate tensile strength) for a tensile specimen that had an area of 0.25 sq. in. and broke at 27,427 psi?
109,708 psi (109.708 ksi)
27,427 / 0.25 = 109,708
What is the UTS (ultimate tensile strength) of a tensile specimen with an area of 0.323 sq. in. that broke at 16,485 psi?
51,037 psi (51.037 ksi)
16,485 / 0.323 = 51,037
What is the UTS (ultimate tensile strength) of a weld that had a cross section of 0.324 sq. in. and broke at an ultimate load of 38,000 psi?
117,284 psi (117.284 ksi)
38,000 / 0.324
What is the percent elongation of a specimen whose original length was 2” and the final length was 2.5”?
25%
2.5” - 2” = 0.5”, 0.5/2” x 100 = 25
What is the percent elongation of a tensile specimen that measured 4” before testing and 4-1/2” after testing?
12.5%
4.5 - 4 = 0.5, 4 / .5 = 0.125
What is the area of a tensile specimen that is 0.5” wide and 0.25” thick?
0.125 sq. in.
0.5 in x 0.25in = 0.125 square inches
What is the area of a circle with a diameter of 0.5”?
0.196 sq. in.
0.5 / 2 = 0.25, 0.25 x 0.25 x 3.14 = 0.196
What is the area of a tensile specimen that is 3/4” wide and 3/8” thick?
0.281 sq. in.
0.75 x 0.375 = 0.281
What is the area of a square with all sides 1/8”?
0.0156 sq. in.
0.125” x 0.125” = 0.0156 square inches
What is 1/8” - 1/64”?
7/64”
What is 3/16” - 1/8”?
1/16”
What is 1/4” - 1/16”?
3/16”
What is 1/2” - 3/64”?
29/64”
What is 5/8” - 1/16”?
9/16”
What is 11/16” - 1/8”?
9/16”
What is 7/8” - 1/4”?
5/8”
What is 15/16” - 1/64”?
59/64”
What is 25% of 3/4?
0.188
0.25 x 0.75 = 0.188
What is 12.5% of 0.600?
0.075
0.125 x 0.6 = 0.075
What is 8% of 947?
75.76
.08 x 947 = 75.76
Which is smaller: 6% of 0.375” or 1/64”?
1/64”
0.06 x 0.375 = 0.0225, 1/64 = 0.016
What is 6% of 0.500?
0.03
0.06 x 0.5 = 0.03
What is the heat input for a weld made at 120 amps, 12 volts, and travel speed of 4.5 imp (inches per minute)?
19,200 J/in (19.2 kJ/in)
(120 x 12 x 60) / 4.5 = 19,200
What is the heat input for a weld made at 98 amps, 8 volts, and a travel speed of 3 ipm (inches per minute)?
15,680 J/in (15.680 kJ/in)
(98 x 8 x 60) / 3 = 15,680
What is the heat input of a weld made at 150 amps, 14 volts and a travel speed of 7 ipm (inches per minute)?
18,000 J/in (18 kJ/in)
(150 x 14 x 60) / 7 = 18,000
What is 7/16 - 1/8?
5/16
The SI prefix milli means what?
0.001
The SI prefix micro means what?
0.000 001
A welder welded 12” in 2 minutes and 30 seconds. How many inches per minute did he weld?
4.8 in./min
12”/2.5 min. = 4.8
A welder welded 10 inches in 1 minute and 45 seconds. How many inches per minute did he weld?
5.7 in./min.
10”/1.75 min. = 5.7
A welder welded 15 inches in 4 minutes and 15 seconds. How many inches per minute did he weld?
3.5 in./min.
15 in./4.25 min. = 3.5
Is the size of this fillet weld 3/16 in.?
Yes
What is the size of this discontinuity?
7/64?