Explanation. There
are 2π radians in one complete circle (360°). So one radian is
360/6.28 = 57.5°.
Question
Number. 51. The surface area of a cylinder of diameter 10 cm and
height 10 cm, is.
Option
A. 80π.
Option
B. 50π.
Option
C. 100π.
Correct
Answer is. 100π.
Explanation. Area
= circumference x height = π x d x h = 10 x 10 x π.
Question
Number. 52. A parallelogram has a base 120cm and height 11 cm. What
is the area?.
Option
A. 0.0132 m2
.
Option
B. 1.32 m2
.
Option
C. 1.32 m2
.
Correct
Answer is. 0.132 m2.
Explanation. Area
of a parallelogram = base x height = 1.2 m * 0.11 m = 0.1322.
Question
Number. 53. The area of this shape is calculated by.
Option
A. Perimeter squared.
Option
B. ½ Base * Height.
Option
C. Base * Height.
Correct
Answer is. Base * Height.
Explanation. It
does not matter which way around the base and the height go when they
are multiplied together.
Question
Number. 54. The area of the shape is calculated by.
Option
A. ½ height * base.
Option
B. ½ base * ½ height.
Option
C. ½ base * ½ height.
Correct
Answer is. ½ height * base.
Explanation. Nil
Question
Number. 55. The area of the curved surface area of a cone is (where r
= radius; h = vertical height and l = slant height).
Option
A. πrh.
Option
B. πr2
h.
Option
C. 1/3πr2
h.
Correct
Answer is. πrh.
Explanation.
Question
Number. 56. What is the volume of a cuboid?.
Option
A. height * length * width.
Option
B. height * ½ base * height.
Option
C. height * ½ base * length.
Correct
Answer is. height * length * width.
Explanation.
Question
Number. 57. (4-6)-(9/-3) + (-3) =.
Option
A. -2.
Option
B. 4.5.
Option
C. 4.
Correct
Answer is. -2.
Explanation. 4-6-(-3)-3
4-6 + 3-3 = -2.
Question
Number. 58. An aircraft travels 2150 nautical miles in 2 hours 30
minutes. What is the average speed of the aircraft?.
Option
A. 550 knots.
Option
B. 600 knots.
Option
C. 860 knots.
Correct
Answer is. 860 knots.
Explanation. Knots
= nautical miles per hour. 2150 / 2.5 = 860 knots.
Question
Number. 59. What is the surface area of a cylinder whose diameter is
20cm and height of 15 cm?.
Option
A. 300π.
Option
B. 942π.
Option
C. 350π.
Correct
Answer is. 300π.
Explanation. Surface
area = π * diameter * height = π * 20 * 15 = 300π.
Question
Number. 60. Four percent of 0.01 is.
Option
A. 0.0004.
Option
B. 0.004.
Option
C. 0.04.
Correct
Answer is. 0.0004.
Explanation. 4%
means 4/100. So 4/100 of 0.01 = 0.04/100 = 0.0004.
Question
Number. 61. (6 + 2)2 * 2 (2 * 45) =.
Option
A. 218.
Option
B. 38.
Option
C. 128.
Correct
Answer is. 38.
Explanation. (6
+ 2)2 = 64. *2 = 128. 2*45 = 90. 128-90 = 38.
Question
Number. 62. 17 degrees 49 minutes and 10 seconds added to 22 degrees
22 minutes and 59 seconds, equals.
Option
A. 40 degrees 11 minutes and 69 seconds.
Option
B. 40 degrees 12 minutes and 9 seconds.
Option
C. 39 degrees 11 minutes and 9 seconds.
Correct
Answer is. 40 degrees 12 minutes and 9 seconds.
Explanation. Add
them both together in 3 columns (degrees, minutes, seconds). When
each addition goes over 59, add 1 to the next column.
Question
Number. 63. The diameter of a cylinder is 200 cm and the height is 20
cm, what is the volume?.
Option
A. 628000 cm3
.
Option
B. 62800 cm3
.
Option
C. 8000 cm3
.
Correct
Answer is. 628000 cm3
.
Explanation. Volume
= π * radius-squared (base area) * height. 3.14 * 100 * 100 * 20 =
628,000.
Question
Number. 64. The comparison of the power input to the power output of
an inverter is expressed as a.
Option
A. ratio.
Option
B. gain.
Option
C. loss.
Correct
Answer is. ratio.
Explanation. A
'ratio' is a comparison of any two values.
Question
Number. 65. The ratio of 6:4 can also be expressed as.
Option
A. 64%.
Option
B. 66%.
Option
C. 150%.
Correct
Answer is. 150%.
Explanation. 6:4
means 6/4 = 3/2 = 150%.
Question
Number. 66. 200 kilovolts can be expressed as.
Option
A. 2 * 103 volts.
Option
B. 2 * 105 volts.
Option
C. 2 * 10-4 volts.
Correct
Answer is. 2 * 105 volts.
Explanation. 200
kV = 200 * 1000 = 200,000 = 2 * 10 to the power of 5 (i.e. 2 with 5
zeros).
Question
Number. 67. What is the surface area of a cone if the base is 8cm
diameter and the height is 10cm?.
Option
A. 40π.
Option
B. 80π.
Option
C. 120π.
Correct
Answer is. 40π.
Explanation. Surface
area of a cone = π * r * l = π * 8/2 * 10 = 40π.
Question
Number. 68. What is the area of a rectangle when its height is 11cm
and the width 120cm?.
Option
A. 0.132 m2
.
Option
B. 1.32 m2
.
Option
C. 1320 m2
.
Correct
Answer is. 0.132 m2
.
Explanation. Area
of a rectangle = 11 * 120 cm = 1320 square cm. To convert to square
metres divide by 10,000 (since there are 100 cm in each of the sides
i.e. 100 * 100).
Question
Number. 69. 4 3/8 – 2 ¼ + 1/5 =.
Option
A. 2 1/4.
Option
B. 2 13/40.
Option
C. 3 3/10.
Correct
Answer is. 2 13/40.
Explanation. Work
out the whole numbers and the fractions separately. 4-2 = 2. 3/8-1/4
+ 1/5 = 15/40-10/40 + 8/40 (LCD = 40) = 13/40. Now recombine the
wholw numbers and the fractions, so 2 + 13/40 = 2 13/40.
Question
Number. 70. 4*(4 *(4 – 1) –1) –1 =.
Option
A. 31.
Option
B. 15.
Option
C. 43.
Correct
Answer is. 43.
Explanation. Rule
1: Work the innermost brackets first. Rule 2: After calculating the
contents of a bracket, use the multiplier (or divider) before the
adder or subtractor.
Question
Number. 71. Which number is the lowest common factor of 36, 66 and
126?.
Option
A. 23.
Option
B. 12.
Option
C. 6.
Correct
Answer is. 6.
Explanation. The
common factor is the number which can be divided into all 3 without
the answer being a fraction.
Question
Number. 72. What is 3% of 0.001?.
Option
A. 0.00003.
Option
B. 0.003.
Option
C. 0.3.
Correct
Answer is. 0.00003.
Explanation. 3%
of 0.001 means 3/100 * 0.001 = 0.003/100 = 0.00003.
Question
Number. 73. 11/16 divided by 5/8 is.
Option
A. 55/128.
Option
B. 11/10.
Option
C. 10/11.
Correct
Answer is. 11/10.
Explanation. 11/16
divided by 5/8 is the same as 11/16 * 8/5 = 11/2 * 1/5 (after cross
cancelling) = 11/10.
Question
Number. 74. An aircraft uses 1680 gallons of fuel, the left tank uses
45%, the right tank uses 32.5%, how much was used by the centre
tank?.
Option
A. 210 gallons.
Option
B. 21 gallons.
Option
C. 378 gallons.
Correct
Answer is. 378 gallons.
Explanation. 100%-(45%
+ 32.5%) = 22.5%. 22.5% is just less than 1/4. Now estimate 1/4 of
1680 - do not calculate.
Question
Number. 75. What is the fraction 1/7 in decimal?.
Option
A. 0.14295.
Option
B. 0.14286.
Option
C. 1.429.
Correct
Answer is. 0.14286.
Explanation. Use
the long division technique.
Question
Number. 76. The supplement of 13 degrees is.
Option
A. 243.
Option
B. 76.
Option
C. 167.
Correct
Answer is. 167.
Explanation. Supplementary
angles add up to 180 degrees. Complementary angles add up to 90
degrees.
Question
Number. 77. What is the area of a ring with an outer diameter of 90
inches and an inner diameter of 80 inches?.
Option
A. 325π.
Option
B. 435π.
Option
C. 425π.
Correct
Answer is. 425π.
Explanation. Radii
are 45 and 40. (452-402) = 2025-1600 = 425. Area = πr2
.
Question
Number. 78. What is the area of the shape shown, in centimeters?.
Option
A. 1000.
Option
B. 1225.
Option
C. 1130.
Correct
Answer is. 1225.
Explanation. 12
* 3 = 36, 20 * 5 = 100, (28-8) * 3 = 60. 36 + 100 + 60 = 196. There
are approx. 2.5 cm in 1 inch, so multiply 196 by 2.5 twice (because
it is area).
Question
Number. 79. What is the area of a rectangle with base 160cm and
height 12cm?.
Option
A. 0.0192 m2
.
Option
B. 0.192 m2
.
Option
C. 0.00192 m2
.
Correct
Answer is. 0.192 m2
.
Explanation. Area
= base * height. To convert to metres divide by 100 twice (because it
is area).
Question
Number. 80. Calculate the area of the shape shown:.
Option
A. 6.75π.
Option
B. 6.75π.
Option
C. 17.5π.
Correct
Answer is. 6.75π.
Explanation. R1
= 1.5, R2 = 3. Area = π *(R22-R12) = π * (9-2.25) = π * 6.75.
Question
Number. 81. An aircraft flies 1350nm in 2 hrs 15 minutes. What is the
average speed?.
Option
A. 850kts.
Option
B. 600kts.
Option
C. 650kts.
Correct
Answer is. 600kts.
Explanation. 1
knot = 1 nm/hour. 1350/2.25 = 600 kts.
Question
Number. 82. What is the supplement of 13 degrees 13 minutes 13
seconds?.
Option
A. 167 degrees 46 minutes 47 seconds.
Option
B. 266 degrees 87 minutes 87 seconds.
Option
C. 166 degree 46 minutes 47 seconds.
Correct
Answer is. 166 degree 46 minutes 47 seconds.
Explanation. Supplementary
angles add up to 180 degrees. Subtract 13 degrees from 180 degrees
you get 167 degrees. But it is slightly more han 13 degrees, so
answer must be slightly less than 167 degrees - hardly any
calculation required!.
Question
Number. 83. Determine 15.4/2-2(6.2-15.6).
Option
A. 11.1.
Option
B. 4.5.
Option
C. 26.5.
Correct
Answer is. 26.5.
Explanation. Start
with brackets. Write down step by step. Remember that a minus number
subtracted becomes a plus.
Question
Number. 84. Calculate the area of the shape shown.
Option
A. 12 sq.ins.
Option
B. 16 sq.ins.
Option
C. 14 sq.ins.
Correct
Answer is. 14 sq.ins.
Explanation. 4
* 1 = 4 for top bit, 4 * 1 = 4 for bottom bit, 3 * 2 for centre bit.
Add all 3 areas together =.
Question
Number. 85. A mound of soil is piled up into a cone of base diameter
1.8m and height 0.6 m. What is the volume of soil?.
Option
A. 0.5 m3
.
Option
B. 1.0 m3
.
Option
C. 1.5 m3
.
Correct
Answer is. 0.5 m3
.
Explanation. Volume
of a cone = 1/3 * base area * height. Base are = πr2
= 3 * 0.9 * 0.9 = 2.4. 1/3 * 2.4 * 0.6 = 0.5.
Question
Number. 86. What is the area of the shape below?.
Option
A. 220 square inches.
Option
B. 196 square inches.
Option
C. 200 square inches.
Correct
Answer is. 196 square inches.
Explanation. (12
* 3) + (20 * 5) + ((28-3-5) * 3) = 196.
Question
Number. 87. What is 1 radian in degrees?.
Option
A. 57°.
Option
B. 270°.
Option
C. 66°.
Correct
Answer is. 57°.
Explanation. 2π
radians is 360°. So 1 radian = 360/6.3 = 57°.
Question
Number. 88. (52
x 53
)2
is.
Option
A. 57
.
Option
B. 512.
Option
C. 510.
Correct
Answer is. 510.
Explanation. Add
the powers when the bases are multiplied. Multiply the powers when a
power is raised a further power. So 2 + 3 = 5. 5 * 2 = 10.
Question
Number. 89. What is 30% of 0.01?.
Option
A. 0.03.
Option
B. 0.003.
Option
C. 0.0003.
Correct
Answer is. 0.003.
Explanation. 30/100
* 0.01 = 3/10 * 0.01.
Question
Number. 90. Evaluate 15.4/2-2(4.6-15.7).
Option
A. 26.5.
Option
B. 29.9.
Option
C. -14.5.
Correct
Answer is. 29.9.
Explanation. 7.7-2(-11.1),
7.7 + 22.2, 29.9.
Question
Number. 91. How many radians are in 360°?.
Option
A. 2π.
Option
B. 6π.
Option
C. 4π.
Correct
Answer is. 2π.
Explanation. 360°
= 2π radians.
Question
Number. 92. What is the area (including the ends) of a cylinder
diameter 10 cm and 10 cm in height?.
Option
A. 50π.
Option
B. 150π.
Option
C. 100π.
Correct
Answer is. 150π.
Explanation. π
* dia. x height + 2 * π * radius-squared. 100π + 50π = 150π
(assuming they want the areas of the ends included).
Question
Number. 93. What is the highest factor of 153?.
Option
A. 6.
Option
B. 3.
Option
C. 9.
Correct
Answer is. 9.
Explanation. The
'factor' is the number which will divide into it (without making a
fraction).
Question
Number. 94. Convert into decimal the fraction 5/8 of 60.
Option
A. 40.
Option
B. 37.5.
Option
C. 37.
Correct
Answer is. 37.5.
Explanation. 5/8
* 60 = 5/2 * 15 = 75/2 = 37.5.
Question
Number. 95. An aeroplane has 1800 gallons of fuel on board. 35% in
the left wing 42.5% in the right wing how much fuel is in the centre
tank?.
Option
A. 405 gallons.
Option
B. 545 gallons.
Option
C. 183 gallons.
Correct
Answer is. 405 gallons.
Explanation. 100-77.5
= 22.5. 22.5/100 * 1800 = 22.5 * 18 = 405.
Question
Number. 96. In the common fraction 2/5, the number 5 is known as.
Option
A. the quotient.
Option
B. the numerator.
Option
C. the denominator.
Correct
Answer is. the denominator.
Explanation. The
number underneath is the denominator. The number on top is the
numerator.
Question
Number. 97. If 42% = 15,000, what is 100%?.
Option
A. 21,300.
Option
B. 35,714.
Option
C. 6,300.
Correct
Answer is. 35,714.
Explanation. Must
be just over double 15000.
Question
Number. 98. What is 12.75 * 26.1 to two significant figures?.
Option
A. 332.775.
Option
B. 332.78.
Option
C. 330.
Correct
Answer is. 330.
Explanation. No
calculation required. Just pick the answer with the 2 most
significant bits, all the rest are zeros.
Question
Number. 99. The fraction 17/11 is classed as.
Option
A. a mixed fraction.
Option
B. an improper fraction.
Option
C. a proper fraction.
Correct
Answer is. an improper fraction.
Explanation. Improper
fraction is one where the numerator is bigger than the denominator.
Question
Number. 100. To convert 1 inch to centimetres.
Option
A. divide by 2.54.
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