Power Engineering questions 4a - Math

19/12 is equal to: a) 2 b) 9.6 c) 1.583 d) 6.931 e) 7

c

75 mm = __________ in. a) 3 b) 4 c) 5 d) 6 e) 7

a

The following is a property of perpendicular lines: a) they are always vertical b) they form less than a 30 degree angle c) they form more than a 110 degree angle d) they form right angles e) they form acute angles

d

The following objects are quadrilaterals: 1) square 2) triangle 3) trapezoid 4) rhombus a) 1, 2, 3, 4 b) 1, 2, 3 c) 1, 2, 4 d) 1, 3, 4 e) 2, 3, 4

d

A __________ is a four sided figure with the opposite sides parallel, but the angles are not right angles. a) square b) rhombus c) rectangle d) trapezoid e) rhomboid

e

A gear wheel 330 mm in diameter and revolving at a speed of 200 rpm drives a wheel 150 mm in diameter. What is the speed in rpm of the second gear? a) 91 b) 100 c) 330 d) 400 e) 440

e

A gear wheel 65 cm in diameter revolving at 225 r/min drives a wheel 85 cm in diameter. What is the speed of the second gear? a) 3.46 r/min b) 150 r/min c) 206.39 r/min d) 97.5 r/min e) 172.06 r/min

e

A/An __________ triangle contains an angle greater than 90 degrees. a) equilateral b) isosceles c) right d) scalene e) obtuse

e

Convert 1,000 degrees F to Celsius, if degrees C = 5/9 (degrees F - 32). a) 100 b) 250 c) 450 d) 530 e) 538

e

Evaluate the following 3/8 + 2/3 - 1/2 to lowest terms. a) 12/24 b) 6/12 c) 6/24 d) 6/13 e) 13/24

e

Find the first (x) term of the proportion x:1850 = 25:37 a) 950 b) 1050 c) 1150 d) 1200 e) 1250

e

Find the last (x) term of the proportion 8:4 = 26:x a) 2 b) 3 c) 10 d) 11 e) 13

e

If 15 tonnes of coal cost $360, what will 27 tonnes cost at the same rate per tonne? a) 255 b) 345 c) 625 d) 723 e) 648

e

In the equation 36 = 12 + (15t) - 6, t equals: a) 3 b) -2.2 c) 1.7 d) -2.8 e) 2

e

Solve the following equation for r, s = (6y^9 / a^5 r) a) 6y^4 /sa b) 6y^9 -sa^5 c) 6y^9 - (b^5 /s) d) 6a^-1 /s e) 6y^9 /sa^5

e

What is the ratio between a mass of 36 kg and 928 L? a) 232 to 9 b) 45.6 c) 0.088 kL d) 4.59 e) None of the above

e

What is the ratio between the volumes 24 cubic metres and 3 cubic metres? a) 4 to 1 b) 5 to 1 c) 6 to 1 d) 7 to 1 e) 8 to 1

e

What type of triangle has three sides of equal length? a) scalene b) obtuse c) isosceles d) right triangle e) equilateral

e

When all the angles of a quadrilateral are added together their sum is __________ degrees. a) 90 b) 120 c) 180 d) 320 e) 360

e

A certain chemical mixture should be in the ratio of 4 parts A, 6 parts B, and 2 parts C. If a 15 kg batch is to be mixed, what quantities in kgs of A, B, and C should be used in the batch? a) A = 5, B = 7.5, and C = 2.5 b) A = 4, B = 6, and C = 5 c) A = 5, B = 6, and C = 4 d) A = 4.5, B = 6.5, and C = 4 e) A = 3.5, B = 5.5, and C = 6

a

If E = I x R, then R = a) E x I b) I / E c) (E / I)^2 d) (E x I)^2 e) E / I

e

If A = 1/2 b x h, then h = a) 1/2 A / b b) 2 A / b c) 1/2 A b d) 2 A b e) 2 b / A

b

If y^2 = (5 x 22)^2 , then y = a) 10.5 b) 110 c) 120 d) 1,200 e) 12,100

b

In lowest terms 0.04 is equal to: a) 1/5 b) 1/25 c) 1/40 d) 4/10 e) 4/100

b

In the equation 3 x sqr(t) = 39, t equals: a) 13 b) 169 c) 26 d) sqr(13) e) 9

b

Quadrilaterals are figures that have __________ straight sides. a) 3 b) 4 c) 5 d) 6 e) 8

b

What is the ratio between the temperatures 15 degrees C and 5 degrees C? a) 2 to 1 b) 3 to 1 c) 4 to 1 d) 5 to 1 e) 6 to 1

b

100 m = __________ ft. a) 300 b) 310 c) 328 d) 350 e) 360

c

A = (Pi)r^2 is the same as: a) 1 = A(Pi)r^2 b) A^2 = (Pi)r c) sqr(A/Pi) = r d) (A/Pi)^2 = sqr(r) e) sqr(A) = (Pi)r

c

A Rhombus has one side measuring 6 m. What are the lengths of the other 3 sides? a) Impossible to find with the above information b) 6 m, 3 m, 3 m c) 6 m, 6 m, 6 m d) 6 m, 12 m, 12 m e) 5 m, 2 m, 8 m

c

Find the second (x) term of the proportion 21:x = 35:5 a) 1 b) 2 c) 3 d) 4 e) 5

c

If 4y^2 / 2y = 6, then y = a) 1 b) 2 c) 3 d) 4 e) 5

c

If 6 / y = 2, then y = a) 1 b) 2 c) 3 d) 4 e) 5

c

If 8 = sqr(4y), then y = a) 12 b) 14 c) 16 d) 18 e) 20

c

If C = 5/9 (F - 32), then F = a) 5/9 C + 32 b) 5/9 C - 32 c) 9/5 C + 32 d) 9/5 (C + 32) e) 9/5 (C - 32)

c

63 is what percent of 260? a) 41.27% b) 2.42% c) 0.24% d) 24.23% e) 4.12%

d

A/An __________ triangle has no two sides or angles equal and no right angle. a) equilateral b) isosceles c) right d) scalene e) obtuse

d

In the following expression 4:8::2:4 which term(s) is(are) the extreme(s)? a) 8 only b) Both 8 and 2 c) 4 only d) 4 and 4 e) Both 2 and 4

d

Lines which are exactly the same distance apart at all points are said to be __________ to each other. a) perpendicular b) tangential c) equal d) parallel e) coincide

d

Solve the following equation for b, [b^2 - (q + s)] / q = s a) sqr(10s + q) b) sqr[-qs / (q + s)] c) sqr(2s) d) sqr[qs + (q + s)] e) sqr(8s - q)

d

What is the ratio between the areas of two objects that are 25 square metres and 5 square metres? a) 2 to 1 b) 3 to 1 c) 4 to 1 d) 5 to 1 e) 6 to 1

d

Which of the following is an improper fraction? a) 37/39 b) 6 3/4 c) 65/100 d) 3/2 e) 1/2

d

150 m is __________ yd. a) 154 b) 144 c) 50 d) 100 e) 164

e

25 cm is __________ in. a) 5.54 b) 6.24 c) 7.56 d) 8.23 e) 9.84

e

320 rods is equal to: a) 1 kilometre b) 1 cable c) 986 knots d) 39 furlongs e) 1,760 yards

e

62% of 85,362 equals: a) 22,932.64 b) 13.768 c) 5,292.492 d) 137,680.65 e) 52,924.44

e

If 5 y = 250 / 2 y, then y = a) 1 b) 2 c) 3 d) 4 e) 5

e

When two straight lines meet or cross each other, they form __________. a) parallel lines b) tangential lines c) perpendicular lines d) equilateral lines e) an angle

e

Evaluate the following fractional problems. (Reduce to lowest terms) 1) 3/8 x 3/4 x 8/9 = __________ 2) 1/2 x 3/7 x 14/15 = __________ 3) 3/8 x 2/3 x 4/5 x 5/8 = __________ 4) 3/10 x 5/6 x 1/9 x 3/4 = __________ 5) 21/16 x 12/35 x 32/45 = __________ 6) 27/35 x 5/16 x 15/3 = __________ 7) 2 1/2 x 7 3/5 x 3 3/5 = __________ 8) 4 2/3 x 8 4/7 x 1 2/7 = __________

1/4;1/5;1/8;1/48;8/25;1 23/112;68 2/5;51 3/7;

Convert the following percentages into fractions. (Reduce to lowest terms) 1) 95% = __________ 2) 75% = __________ 3) 10% = __________ 4) 15% = __________ 5) 34% = __________ 6) 78% = __________ 7) 100% = __________ 8) 55.5% = __________

19/20;3/4;1/10;3/20;17/50;39/50;1/1&1;111/200;

Convert the following mixed numbers to improper fractions. (Enter your answer in this style 2 2/3 = 8/3) 1) 6 5/6 = __________ 2) 4 1/5 = __________ 3) 9 5/7 = __________ 4) 10 1/2 = __________

6;21/5;68/7;21/2;

95% of 63 litres of gasoline equals: a) 59.85 litres b) 599 litres c) 0.663 litres d) 66.32 litres e) 95 litres

a

A __________ is a four sided figure with all four sides of equal length and all angles right angles. a) square b) rhombus c) rectangle d) trapezoid e) rhomboid

a

An elastic is stretched by 86% to a length of 5.8 m. Calculate the original length. a) 3.118 m b) 0.067 m c) 4.988 m d) 2.903 m e) 8.675 m

a

Convert -40 degrees F to Celsius, if degrees C = 5/9 (degrees F - 32). a) -40 b) -30 c) -20 d) -10 e) -15

a

Convert 212 degrees F to Celsius, if degrees C = 5/9 (degrees F - 32). a) 100 b) 150 c) 200 d) 250 e) 300

a

Evaluate the following 3/10 x 5/2 - 2/3 to lowest terms. a) 1/12 b) 11/20 c) 5/60 d) 33/60 e) 3/6

a

If bell metal is 25 parts copper to 12 parts tin, what is the weight of each in a bell weighing 1850 kg? a) copper = 1,250 kg and tin = 600 kg b) copper = 1,152 kg and tin = 550 kg c) copper = 1,050 kg and tin = 565 kg d) copper = 1,350 kg and tin = 625 kg e) copper = 1,235 kg and tin = 650 kg

a

In a triangle, if the three sides are of equal length, it is a/an __________ triangle. a) equilateral b) isosceles c) right d) scalene e) obtuse

a

In the expression 8:x::16:8, x equals: a) 4 b) 16 c) 2.5 d) 32 e) 16

a

Lines at right angles to each other are said to be __________ to each other. a) perpendicular b) tangential c) equal d) parallel e) coincide

a

Public swimming pools require 3 parts chlorine liquid and 2 parts salt water to every 100 parts water to kill bacteria. How much chlorine liquid is required in a 4,000 L pool? a) 114.29 L b) 76.19 L c) 100 L d) 3,809.52 L e) 89.23 L

a

Solve the following equation for A, b/4 = (q^2 /8) (A+L) a) (2b/q^2 ) - L b) (b/24q^2 ) - L c) sqr(b/8q) - L d) (4b/2q^2 ) - L e) (b/2q^2 ) - L

a

What is the ratio between the lengths of two pipes that are 150 m and 100 m? a) 1.5 to 1 b) 2.5 to 1 c) 3.5 to 1 d) 4.5 to 1 e) 5.5 to 1

a

Which of the following statements about parallel lines is false? a) they can cross b) they can run horizontally c) they never cross d) they can run vertically e) they are always the same distance apart

a

A chemical mixture should be in the ratio of 9 parts A, 2 parts B and 5 parts C. A 64 kg batch is to be mixed. What quantity of A is required? a) 52.36 kg b) 36 kg c) 20 kg d) 8 kg e) 2.25 kg

b

A fathom is which type of measurement? a) Surveyors measure b) Nautical measure c) English measure d) SI measure e) Imperial measure

b

A gear has 1,000 teeth and revolves at 50 r/min. The driven gear has 32 teeth. How fast does it turn? a) 12.2 r/min b) 1,562.5 r/min c) 609.8 r/min d) 640 r/min e) 390.2 r/min

b

A/An __________ triangle has two side of equal length and a third side that is longer or shorter. a) equilateral b) isosceles c) right d) scalene e) obtuse

b

Convert 50 degrees Celsius to Fahrenheit, if degrees F = 9/5 degrees C + 32. a) 148 b) 122 c) 130 d) 150 e) 155

b

If 3 y + 4 = 10, then y = a) 1 b) 2 c) 3 d) 4 e) 5

b

If 3 y = 6, then y = a) 1 b) 2 c) 3 d) 4 e) 5

b

Solve s = ut + 1/2 at^2 for u a) sqr[s - (at / 2)] b) [s - (at^2 / 2] / t c) 2 / (sat) d) s - 1/2 at^2 - t e) s + 1/2 at

b

The sum of the angles of a triangle is: a) 360 degrees b) 180 degrees c) 30 degrees d) 60 degrees e) 90 degrees

b

What is the ratio between 75 L and 1.5 L in lowest terms? a) 75 to 15 b) 50 to 1 c) 0.2 d) 5 to 1 e) None of the above

b

What is the ratio between a mass of 4,500 kg and 150 kg? a) 20 to 1 b) 30 to 1 c) 40 to 1 d) 50 to 1 e) 55 to 1

b

A driving gear has 60 teeth and turns at 750 rpm. The driven gear has 90 teeth. What is the speed of the driven gear in rpm? a) 1,125 b) 1,000 c) 500 d) 450 e) 400

c

Concrete must be mixed with the ratio of 5 parts cement, 3 parts gravel and 4 parts water. If 6 tons of concrete is to be mixed how much gravel is required? a) 2.4 tons b) 2.5 tons c) 1.5 tons d) 2 tons e) 1,865 tons

c

Convert -35 degrees Celsius to Fahrenheit, if degrees F = 9/5 degrees C + 32. a) -1.8 b) -10 c) -31 d) -20 e) -35

c

Convert 100 degrees Celsius to Fahrenheit, if degrees F = 9/5 degrees C + 32. a) 238 b) 220 c) 212 d) 180 e) 120

c

Convert 32 degrees F to Celsius, if degrees C = 5/9 (degrees F - 32). a) 64 b) 18 c) 0 d) 100 e) 90

c

Convert 5 miles, 6 yards, 9 feet to metres. a) 287.85 m b) 8,326.53 m c) 8,054.95 m d) 539.66 m e) 6,283.42 m

c

If y - 5 = 3, then y = a) 6 b) 7 c) 8 d) 9 e) 10

c

In a triangle, if one of the angles is 90 degrees, this is a/an __________ triangle. a) equilateral b) isosceles c) right d) scalene e) obtuse

c

Which of the following is a mixed number? a) 32/36 b) 19/5 c) 3 1/5 d) 6/24 e) 35/7

c

100 km = __________ miles. a) 40 b) 50 c) 60 d) 62 e) 65

d

50 ft is __________ m. a) 12.24 b) 13.34 c) 24.34 d) 15.24 e) 16.75

d

A supply fan is driven by an electric motor by means of V-belts. The pulley on the motor shaft is 90 mm in diameter and rotates at 1,800 rpm. The diameter of the pulley on the fan shaft is 300 mm. What is the speed of the fan in rpm? a) 2,000 b) 1,800 c) 900 d) 540 e) 450

d

Convert -60 degrees Celsius to Fahrenheit, if degrees F = 9/5 degrees C + 32. a) -50.4 b) -45.5 c) -42.5 d) -76.0 e) -72.2

d

Find the third (x) term of the proportion 27:15 = x:360 a) 450 b) 550 c) 650 d) 648 e) 756

d

If 13 y + 12 = 7 y + 36, then y = a) 1 b) 2 c) 3 d) 4 e) 5

d

If 4 y + 5 - 7 = 2 y + 6, then y = a) 1 b) 2 c) 3 d) 4 e) 5

d

If A = (Pi) r^2 , then r = a) sqr(A x Pi) b) (A / Pi)^2 c) (A x Pi)^2 d) sqr(A / Pi) e) (Pi / A)^2

d

If a quadrilateral has angle measurements of 85 degrees, 36 degrees and 110 degrees the last angle equals: a) 360 degrees b) 90 degrees c) 182 degrees d) 129 degrees e) 180 degrees

d

If mass is inversely proportionate to cost then a) as mass increases cost will double b) as mass increases cost will increase directly c) as cost decreases mass will decrease d) as mass increases cost will decrease e) as cost increases the mass will double

d

If y + 8 = 14, then y a) 3 b) 4 c) 5 d) 6 e) 7

d

Solve the following equation for m, y = mt + c a) mt - y b) y / (t + c) c) ym - c d) (y - c) / t e) y - t - c

d

Solve the following equation for r, [4(Pi)r ] / 3 = V a) cubed root[4(Pi)V / 3] b) V / 4(Pi) c) Pi / 3V d) cubed root[3V / 4(Pi)] e) 3V / 4

d

The following quadrilateral has no sides parallel: a) Trapezoid b) Rhomboid c) Rhombus d) Trapezium e) Scalene triangle

d

If 25 workers can do a piece of work in 30 days, in how many days can 35 workers do the same work? a) 20.00 b) 18.00 c) 20.25 d) 19.15 e) 21.43

e