D in hexadecimal is what number in decimal?
a) 8
Ans. B) 13
c) 17
In the following equation what is the y-intercept? 4y = 2x + 8
a) 4
Ans. B) 2
c) 8
Two angles of a triangle are 68 o and 32 o. Therefore the third angle must be
a) 63o
b) 114o
Ans. c) 80o
Solve the following equation to find x
4x + 8y = 64
2x – 8y = 86
a) 5
Ans. b) 25
c) 125
Simplify the following
(w + z)(x – y)(y – w)
(y – x)(w – y)(w + z)
Ans. a) +1
b) -1
c) 0
101012 + 110012 =
a) 462
b) 468
Ans. c) 4610
Which of the following formulae are correct for the triangle shown?
Ans. a) C2 = A2 + B2
b) B2 = C2 + A2
c) A2 = C2 + B2
A rectangle 11cm x 120cm. What is its area in m2
a) 1320
b) 13.2
Ans. c) 0.132
What is 738 in binary coded decimal?
a) 111100010
b) 1011100010
Ans. c) 11100111000
If a wheel of radius R revolves ½ a turn, how many radians does it turn through?
a) 2p radians
Ans. b) p radians
c) 2R2 radians
If there are two similar angles in a right triangle, these angles are
Ans. a) complementary
b) Supplementary
c) Subordinate
Find the lowest common denominator of 6; 7; 8
a) 84
Ans. b) 168
c) 336
The circumference of a circle is found by
a) dividing the diameter by 3.142
Ans. b) multiplying the diameter by 3.142
c) multiplying the radius by 3.142
What torque loading would you apply to a nut if the force is 50 lbs, exerted 2 feet from its axis?
Ans. a) 100 lbs.ft
b) 251 lbs.ft
c) 600 lbs.ft
67 divided by 127 is equal to
a) 1/20
Ans. b) 1/128
c) ½
The formula for calculating the torque loading on a nut or bolt is
a) Force used x diameter of the bolt
Ans. b) Force used x lever length of the spanner
c) Lever length of the spanner
Threads per inch
Calculate the height of an obtuse triangle whose base is X cm and the area is Y square cm.
a) Y x 2 x X
B) Y + X
2
Ans. c) Y x 2
X
How is the area of a circle calculated?
Ans. a) r2 x 3.142
b) d2 x 3.142
c) 2 x 3.142 x r
Solve the following
9/4 + 5/12 + 1 3/8 =
Ans. a) 4 1/24
b) 2 25/24
c) 4 1/12
The specific torque loading for a bolt is 50 lbs.ins but an extension of 2” is needed to reach the bolt in addition to the 8” torque wrench. What will the actual reading?
a) 54 lb.ins
Ans. b) 40 lb.ins
c) 60 lb.ins
Express the fraction 7 / 8 as a decimal
Ans. a) 0.875
b) 0.785
c) 0.878
Solve 0.75 X 0.003
a) 0.225
b) 0.0225
Ans. c) 0.00225
Convert 162 knots to mph
Ans. a) 186 mph
b) 176 mph
c) 196 mph
To convert inches to millimeters, it is necessary to
Ans. a) multiply by 25.4
b) divide by 25.4
c) multiply by 2.54
¾ x 82 =
a) 123
Ans. b) 61.5
c) 81.5
A circular patch is held together by seven equally spaced rivets, what is their angular relationship?
a) 51.50o
Ans. b) 51.43o
c) 52o
Add together; 3/4, 5/16, 7/8 and 0.375
a) 2 1/8
b) 2 ¼
Ans. c) 2 5/16
Given that A = X + BY, what is Y equal to?
a) A - X minus B
b) A - X add B
Ans. c) A - X divided by B
A right-angled triangle has sides of 3 inches and 4 inches, what will the third side be?
a) 6 inches
Ans. b) 5 inches
c) 5.5 inches
To convert pounds of fuel into kilograms, it is necessary to
a) multiply by 4536
Ans. b) multiply by 0.4536
c) divide by 0.4536
If resin to hardener is used in the ratio of 1000:45, how much hardener is used with 60 grams of resin
a) 47 grams
Ans. b) 2.7 grams
c) 145 grams
Solve the following
11/16 + 5/8
a) 55/128
Ans. b) 1 5/16
c) 1 1/10
6 mm is equal to
a) 0.625”
b) 0.375”
Ans. c) 0.236”
To work out the circumference of a circle
Ans. a) D x 3.142
b) D x 0.3142
c) D - 3.142
Weight is equal to
a) volume x gravity
b) mass x acceleration
Ans. c) mass x gravity
8 + 4[5 x 2 (5 – 9/3)]
Ans. a) Eighty Eight
b) Forty Eight
c) Twelve
To convert gallons to liters
a) multiply by 0.568
Ans. b) multiply by 4.55
c) multiply by 0.00455
V = (a + b) r2 Find a
a) V – r2 – b
b) (V – b)/ r2
Ans. c) V / r2 – b
A quadrilateral with only two parallel sides is a
Ans. a) Trapezoid
b) Trapezium
c) Rhombus
2x2z2 (3x – z2) =
Ans. a) 6x3z2 – 2x2z4
b) 6x2z2 – 2x2z2
c) 6x2z2 + 3x – z2
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