Math & Measuring Flashcards

Practice reading various gages and performing the type of math used in weld inspection.

1
Q

What dimension is shown on the dial caliper?

A

4.430”

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2
Q

What dimension is shown on the dial caliper?

A

0.617”

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3
Q

What measurement is being shown on the dial caliper?

A

0.8165”

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4
Q

What dimension is shown on the dial caliper?

A

0.794”

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5
Q

What dimension is shown on the dial caliper?

A

0.448”

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6
Q

What dimension is being shown on this dial caliper?

A

0.730”

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7
Q

What dimension is shown on the dial caliper?

A

0.384”

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8
Q

What dimension is sown on the dial caliper?

A

0.665”

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9
Q

What dimension is shown on the dial caliper?

A

2.317”

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10
Q

What dimension is shown on the V-wac guage?

A

3/32”

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11
Q

What dimension is shown on this V-wac gauge?

A

3/64”

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12
Q

What dimension is shown on this V-wac gauge?

A

3/64”

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13
Q

What dimension is shown on this V-wac guage?

A

between 1/64” and 1/32”

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14
Q

What dimension is shown on this V-wac guage?

A

Between 5/64” and 3/32”

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15
Q

What dimension is shown on this bridge cam gauge?

A

3/16”

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16
Q

How long is the third line down?

A

6-11/16”

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17
Q

How long is the bottom line?

A

8-1/4”

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18
Q

How long is the top line?

A

9-3/4”

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19
Q

What dimension is shown on the machinist scale?

A

1-11/32”

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20
Q

What fraction is the pen pointing to?

A

3-3/8”

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21
Q

How long is the line?

A

2-19/32”

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22
Q

What fraction is the arrow pointing to?

A

1-1/8”

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23
Q

What fraction is the arrow pointing to?

A

31/32”

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24
Q

What dimension is the arrow pointing to?

A

5-3/16”

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25
Q

What dimension is the arrow pointing to?

A

10-13/16”

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26
Q

What dimension is the arrow pointing to?

A

7-1/4”

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27
Q

What dimension is the arrow pointing to?

A

4-5/8”

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28
Q

8/64 reduces to what fraction?

A

1/8

8/64 = 4/32 = 2/16 = 1/8

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29
Q

What is 0.125 as a fraction?

A

1/8

dividing by 5’s: 125/1000 = 25/200 = 5/40 = 1/8

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30
Q

What is 90% as a fraction?

A

9/10

90/100 = 9/10

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31
Q

What is 45% as a fraction?

A

9/20

dividing by 5’s: 45/100 = 9/20

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32
Q

6/16 reduces to what fraction?

A

3/8

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33
Q

How many 64ths are in an inch?

A

64

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34
Q

What is 20% as a fraction?

A

1/5

dividing by 5’s: 20/100 = 2/10 = 1/5

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35
Q

1/4” is how many thousanths?

A

0.250 (250 thousanths)

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36
Q

What is 1/8 as a decimal?

A

0.125

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37
Q

What is 30% as a decimal?

A

0.3

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38
Q

1/2” is how many thousandths?

A

0.500 (five hundred thousandths)

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39
Q

What is 1/2 as a decimal?

A

0.5

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40
Q

What is 65% as a decimal?

A

0.65

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41
Q

What is 25% as a decimal?

A

0.25

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42
Q

What is 1/4 as a decimal?

A

0.25

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43
Q

Which is less: 3/8” or 5/64”?

A

5/64”

44
Q

Which is greater: 3/8” or 1/4”?

A

3/8”

45
Q

Which is less 3/32” or 1/16”?

A

1/16”

46
Q

Which is greater 9/16” or 1/2”?

A

9/16”

47
Q

Which is less 3/4” or 13/16”?

A

3/4”

48
Q

Which is greater 5/16” or 1/4”?

A

5/16”

49
Q

True or false?

5/8” ≥ 11/16”

A

FALSE

50
Q

What does this mean?

≥ 1”

A

Greater than or equal to 1”

51
Q

What does this mean?

> 5/8”

A

Greater than 5/8”

52
Q

What does this mean?

≤ 3”

A

Less than or equal to 3”

53
Q

True of false?

1/4” < 3/16”

A

FALSE

54
Q

True or false?

7/64” > 1/2”

A

FALSE

55
Q

True or false?

0.625” ≤ 5/8”

A

True

0.625 = 5/8

56
Q

True or false?

0.125” ≤ 1/8”

A

True

0.125 = 1/8

57
Q

True or false?

5/16” < 1/4”

A

FALSE

58
Q

2” +/- 1/32 = what min. and max. dimensions?

A

1-31/32” to 2-1/32”

59
Q

1/2” +/- 1/64” has what min. and max. dimensions?

A

31/64” - 33/64”

60
Q

3/4” +/- 1/8” has what min. and max. dimensions?

A

5/8” - 7/8”

61
Q

95 ksi is how many psi?

A

95,000 psi

62
Q

1,000,000 psi is how many ksi?

A

1,000 ksi

63
Q

What is 1/2 as a percent?

A

50%

64
Q

What is 25% of 1/2”?

A

1/8”

0.25 x 0.5 = .125

65
Q

What is 1/4 as a percent?

A

25%

66
Q

What is 95% of 1,000?

A

950

0.95 x 1,000 = 950

67
Q

What is 3/4 as a percentage?

A

75%

68
Q

How much is the internal high-low (mismatch) shown here?

A

1/16”

2/32 = 1/16

69
Q

How much is the external high-low (mismatch) shown here?

A

1/8” (4/32)

70
Q

How much is the undercut shown here?

A

1/32”

71
Q

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

A

No

72
Q

What is the theoretical throat shown here?

A

3/8”

73
Q

How much undercut is being shown here?

A

3/32”

74
Q

How much reinforcement is being shown here?

A

5/32”

75
Q

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?

A

100,000 psi (100 ksi)

100,000/.5 = 100,000

76
Q

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?

A

109,708 psi (109.708 ksi)

27,427 / 0.25 = 109,708

77
Q

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?

A

51,037 psi (51.037 ksi)

16,485 / 0.323 = 51,037

78
Q

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?

A

117,284 psi (117.284 ksi)

38,000 / 0.324

79
Q

What is the percent elongation of a specimen whose original length was 2” and the final length was 2.5”?

A

25%

2.5” - 2” = 0.5”, 0.5/2” x 100 = 25

80
Q

What is the percent elongation of a tensile specimen that measured 4” before testing and 4-1/2” after testing?

A

12.5%

4.5 - 4 = 0.5, 4 / .5 = 0.125

81
Q

What is the area of a tensile specimen that is 0.5” wide and 0.25” thick?

A

0.125 sq. in.

0.5 in x 0.25in = 0.125 square inches

82
Q

What is the area of a circle with a diameter of 0.5”?

A

0.196 sq. in.

0.5 / 2 = 0.25, 0.25 x 0.25 x 3.14 = 0.196

83
Q

What is the area of a tensile specimen that is 3/4” wide and 3/8” thick?

A

0.281 sq. in.

0.75 x 0.375 = 0.281

84
Q

What is the area of a square with all sides 1/8”?

A

0.0156 sq. in.

0.125” x 0.125” = 0.0156 square inches

85
Q

What is 1/8” - 1/64”?

A

7/64”

86
Q

What is 3/16” - 1/8”?

A

1/16”

87
Q

What is 1/4” - 1/16”?

A

3/16”

88
Q

What is 1/2” - 3/64”?

A

29/64”

89
Q

What is 5/8” - 1/16”?

A

9/16”

90
Q

What is 11/16” - 1/8”?

A

9/16”

91
Q

What is 7/8” - 1/4”?

A

5/8”

92
Q

What is 15/16” - 1/64”?

A

59/64”

93
Q

What is 25% of 3/4?

A

0.188

0.25 x 0.75 = 0.188

94
Q

What is 12.5% of 0.600?

A

0.075

0.125 x 0.6 = 0.075

95
Q

What is 8% of 947?

A

75.76

.08 x 947 = 75.76

96
Q

Which is smaller: 6% of 0.375” or 1/64”?

A

1/64”

0.06 x 0.375 = 0.0225, 1/64 = 0.016

97
Q

What is 6% of 0.500?

A

0.03

0.06 x 0.5 = 0.03

98
Q

What is the heat input for a weld made at 120 amps, 12 volts, and travel speed of 4.5 imp (inches per minute)?

A

19,200 J/in (19.2 kJ/in)

(120 x 12 x 60) / 4.5 = 19,200

99
Q

What is the heat input for a weld made at 98 amps, 8 volts, and a travel speed of 3 ipm (inches per minute)?

A

15,680 J/in (15.680 kJ/in)

(98 x 8 x 60) / 3 = 15,680

100
Q

What is the heat input of a weld made at 150 amps, 14 volts and a travel speed of 7 ipm (inches per minute)?

A

18,000 J/in (18 kJ/in)

(150 x 14 x 60) / 7 = 18,000

101
Q

What is 7/16 - 1/8?

A

5/16

102
Q

The SI prefix milli means what?

A

0.001

103
Q

The SI prefix micro means what?

A

0.000 001

104
Q

A welder welded 12” in 2 minutes and 30 seconds. How many inches per minute did he weld?

A

4.8 in./min

12”/2.5 min. = 4.8

105
Q

A welder welded 10 inches in 1 minute and 45 seconds. How many inches per minute did he weld?

A

5.7 in./min.

10”/1.75 min. = 5.7

106
Q

A welder welded 15 inches in 4 minutes and 15 seconds. How many inches per minute did he weld?

A

3.5 in./min.

15”/4.25 min. = 3.5