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Module One

1. What is the tangent of 90^o?

# a) Positive infinity

b) Negative infinity

c) 0

2. A cuboid has dimensions of 4 cm, 6cm and 12 cm. What is its volume?

A) 2.88 m³

B) 0.028 m³

# C) 0.000288m³

3. Work out the following sum: 4 {2 (5 – 1) – 3} + 8

a) 37

# b) 28

c) 54

4. 100000 in binary is what number in decimal?

a) 16

# b) 32

c) 64

5. D in hexidecimal is what number in decimal?

a) 8

# b) 13

c) 17

6. In the following equation what is the y-intercept? 4y = 2x + 8

a) 4

# b) 2

c) 8

7. Two angles of a triangle are 68^o and 32^o. Therefore the third angle must be

a) 63^o

b) 114^o

# c) 80^o

8. Solve the following equation to find x

4x + 8y = 64

2x – 8y = 86

a) 5

# b) 25

c) 125

9. Simplify the following

(w + z)(x – y)(y – w)

(y – x)(w – y)(w + z)

# a) +1

b) -1

c) 0

10. 10101₂ + 11001₂ =

a) 46₂

b) 46₈

# c) 46₁₀

11. Which of the following formulae are correct for the triangle shown?

# a) C² = A² + B²

b) B² = C² + A²

c) A² = C² + B²

12. A rectangle 11cm x 120cm. What is its area in m2

a) 1320

b) 13.2

# c) 0.132

13. What is 738 in binary coded decimal?

a) 111100010

b) 1011100010

# c) 11100111000

14. If a wheel of radius R revolves ½ a turn, how many radians does it turn through?

a) 2p radians

# b) p radians

c) 2R² radians

15. If there are two similar angles in a right triangle, these angles are

# a) complementary

b) supplementary

c) subordinate

16. The surface area of a cone whose flat is 10 cm and diameter is 8 cm is

a) 80 p

# b) 40 p

c) 120 p

17. (A + B)⁴ is

(A + B)²

# a) (A + B)²

b) A + B

c) (A + B)⁶

18. An equilateral triangle has

a) 2 equal sides

b) no equal sides

# c) 3 equal sides

19. 4 3/8 – 2 1/4 + 1/8 =

a) 2 1/8

b) 2 1/2

# c) 2 1/4

20. 11/16 + 5/8 =

a) 55/128

# b) 21/16

c) 10/11

21. Given 43 - x = 21, find the value of x

# a) 43 - 21

b) 43 + 21

c) 43 / 21

22. ¾ multiplied by 0.82 is equal to

a) 1.23

# b) 0.615

c) 2.46

23. 7/6 can be expressed as

a) 2.6

b) 1.6

# c) 1.166

24. The ratio of 6:5 can be expressed as

a) 20: 25

# b) 24: 20

c) 10: 16

25. 14³ can be expressed as

a) 14 x 3

# b) 14 x 14 x 14

c) 14 + 14 + 14

26. 0.0000413 can be written as

# a) 413 x 10-⁷

b) 0.413 x 10-⁷

c) 4.13 x 10-⁷

27. 5/8 + 3/4 =

a) 11/4

# b) 11/8

c) 8/8

28. The LCD for the problem 1/6 + 1/5 + 1/17 + 1/2 is

a) 1020

b) 17

# c) 510

29. The formulae for calculating the area of a right angled triangle is

a) ½ height + base

b) ½ base / height

# c) ½ (base x height)

30. The area of a circle whose circumference is given as 12cm is approximately

# a) 11.3 sq. cm

b) 3.8 sq. cm

c) 38 sq. cm

31. Area of a right circular cone is

# a) p x r x l

b) (p x r x l) + 2 p x r x r

c) 2/3 (p x r x l)

32. log 9 - log 3 =

# a) log 3

b) log 6

c) log 9

33. The three angles of a triangle summed together equal

a) 90°

# b) 180°

c) 360°

34. In a right-angled triangle the other two angles are both 45°. The length of the opposite side can be calculated by

# a) sin 45° x length of the hypotenuse side of the triangle

b) cos 45° x length of the adjacent side of the triangle

c) sin 45° x length of the adjacent side of the triangle

35. Given that a = X + B, what is y equal to

a) a + X

b) X - B

# c) X +B

36. Calculate (+ 3) - (- 4)

a) -1

# b) +7

c) -7

37. to convert imperial gallons to liters, multiply by

# a) 4.5

b) 5.4

c) 4.7

38. Express 9/20 as a percentage

# a) 45 %

b) 40 %

c) 47 %

39. To find the area of a circle, multiply

# a) the square of the radius by p

b) the square of the circumference by the radius

c) twice the radius by p

40. How many centimeters is in an inch?

a) 25.4

b) 0.254

# c) 2.54

41. Make L the subject of the formulae 2pfL = x

a) L = 2pf

b) L = 2pf

# c) L = x

2pf

42. Find the lowest common denominator of 6; 7; 8

a) 84

# b) 168

c) 336

43. The circumference of a circle is found by

a) dividing the diameter by 3.142

# b) multiplying the diameter by 3.142

c) multiplying the radius by 3.142

44. What torque loading would you apply to a nut if the force is 50 lbs, exerted 2 feet from its axis?

# a) 100 lbs.ft

b) 251 lbs.ft

c) 600 lbs.ft

45. 6⁷ divided by 12⁷ is equal to

a) 1/20

# b) 1/128

c) ½

46. The formula for calculating the torque loading on a nut or bolt is

a) Force used x diameter of the bolt

# b) Force used x lever length of the spanner

c) Lever length of the spanner

Threads per inch

47. 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

# c) Y x 2

48. How is the area of a circle calculated?

# a) r² x 3.142

b) d² x 3.142

c) 2 x 3.142 x r

49. Solve the following

9/4 + 5/12 + 1 3/8 =

# a) 4 1/24

b) 2 25/24

c) 4 1/12

50. 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

# b) 40 lb.ins

c) 60 lb.ins

51. Express the fraction 7 / 8 as a decimal

# a) 0.875

b) 0.785

c) 0.878

52. Solve 0.75 X 0.003

a) 0.225

b) 0.0225

# c) 0.00225

53. Convert 162 knots to mph

# a) 186 mph

b) 176 mph

c) 196 mph

54. To convert inches to millimeters, it is necessary to

# a) multiply by 25.4

b) divide by 25.4

c) multiply by 2.54

55. ¾ x 82 =

a) 123

# b) 61.5

c) 81.5

56. A circular patch is held together by seven equally spaced rivets, what is their angular relationship?

a) 51.50^o

# b) 51.43^o

c) 52^o

57. Add together; 3/4, 5/16, 7/8 and 0.375

a) 2 1/8

b) 2 ¼

# c) 2 5/16

58. Given that A = X + BY, what is Y equal to?

a) A - X minus B

b) A - X add B

# c) A - X divided by B

59. A right-angled triangle has sides of 3 inches and 4 inches, what will the third side be?

a) 6 inches

# b) 5 inches

c) 5.5 inches

60. To convert pounds of fuel into kilograms, it is necessary to

a) multiply by 4536

# b) multiply by 0.4536

c) divide by 0.4536

61. 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

# b) 2.7 grams

c) 145 grams

62. Solve the following

11/16 + 5/8

a) 55/128

# b) 1 5/16

c) 1 1/10

63. 6 mm is equal to

a) 0.625”

b) 0.375”

# c) 0.236”

64. To work out the circumference of a circle

# a) D x 3.142

b) D x 0.3142

c) D - 3.142

65. Weight is equal to

a) volume x gravity

b) mass x acceleration

# c) mass x gravity

66. 8 + 4[5 x 2 (5 – 9/3)]

# a) Eighty Eight

b) Forty Eight

c) Twelve

67. To convert gallons to liters

a) multiply by 0.568

# b) multiply by 4.55

c) multiply by 0.00455

68. An equilateral triangle has

a) two equal side

b) no equal sides

# c) three equal sides

69. sin ø =

a) C/A, #b)A/C, c) B/C

70. Cos A =

a) 1.2, #b) 0.8, c) 0.6

71. 2x – 8y = 14 and 4x + 8y = 16; x =

a) –1/2

# b) 5

c) 3

72. 2x – 3 = 4; x =

# a) 3.50

b) –3

c) 7

73. If y / x = 4 and y = 5 then x =

a) 20

# b) 1 ¼

c) 4 / 5

Page 9 - Mod 1

74. V = (a + b) r² Find a

a) V – r² – b

b) (V – b)/ r²

# c) V / r² – b

75. A quadrilateral with only two parallel sides is a

# a) Trapezoid

b) Trapezium

c) Rhombus

76. 2x²z² (3x – z²) =

# a) 6x³z² – 2x²z⁴

b) 6x²z² – 2x²z²

c) 6x²z² + 3x – z²

77. A cylinder has a diameter of 20 cm and a length of 20 cm, what is its volume?

a) 400cm³

b) 1240cm³

# c) 6200cm³

78. 3 1/8 – 1 1/5 =

# a) 1 37/40

b) 1 3/40

c) 2 3/40

79. Make m the subject of the formula y = mx + c

# a) y - c

b) y - x

c) y - c

80. Make x the subject of the formula y = mx + c

# a) y - c

b) y - m

c) y - c

81. Make c the subject of the formula y = mx + c

a) y + mx

# b) y - mx

c) mx - y

Page 10 - Mod 1

82. What is the formula for calculating the curved area of a cone?

a) p x radius² x height

# b) p x radius x height

c) 2/3 x p x radius x height

83. A triangle with equal angles is called

a) isosceles

# b) equilateral

c) right angled

84. Two gears are in mesh, one is larger than the other, the smaller gear rotates

a) at the same speed

b) at a lower speed

# c) at a faster speed

85. Calculate 10 x 2³ + 10 x 2⁵

a) 32,008,000

b) 520

# c) 400

86. In a right angle triangle, the sine of an angle is

# a) opposite divided by hypotenuse

b) adjacent divided by hypotenuse

c) opposite divided by adjacent

87. In a right angle triangle, the tangent of an angle is

a) opposite divided by hypotenuse

b) adjacent divided by hypotenuse

# c) opposite divided by adjacent

88. In a right angle triangle, the cosine of an angle is

a) opposite divided by hypotenuse

# b) adjacent divided by hypotenuse

c) opposite divided by adjacent

89. Octal is to the base of

a) 2

b) 16

# c) 8

90. One radian is equal to

# a) 57.5^o

b) 90^o

c) 75^o

Page 11 - Mod 1

91. The surface area of a cylinder of diameter 10 cm and height 10cm, is

# a) 100p

b) 50p

c) 80p

92. A parallelogram has a base 120cm and height 11 cm. What is the area?

a) 1.32 m²

# b) 0.132 m²

c) 0.0132 m²

93. The name given to this shape is

# a) Parallelogram

b)Trapezoid

c) Rhombus

94. The area of this shape is calculated by

# a) Base x Height

b) ½ Base x Height

c) Perimeter squared

95. The name of this shape is

a) Parallelogram

b) Trapezium

# c) Rhombus

Page 12 - Mod 1

96. The area of the shape is calculated by

# a) ½ height x base

b) ½ base x ½ height

c) ½ height + twice base

97. A triangle with equal sides is

a) Isosceles

b) Acute

# c) Equilateral

98. Two gears are in mesh, one has twice the number of teeth as the other

a) the gear with fewer teeth rotates slower than the other

# b) the gear with fewer teeth rotates faster than the other

c) the two gears rotate at the same speed

99. The area of the curved surface area of a cone is

(where r = radius; h = vertical height and l = slant height)

a) 1/3pr²h

b) pr²h

# c) prl

100. What is the area of a cuboid?

# a) height x length x width

b) height x ½ base x height

c) height x ½ base x length

101. To find the area of a circle, multiply

# a) the square of the radius by p

b) the square of the circumference by the radius

c) twice the radius by p

102. 4 – 6 – 9

- 3 + (- 3)

a) 4.5

# b) 3.5

c) 4

Page 13 - Mod 1

103. An aircraft travels 2150 nautical miles in 2 hours 30 minutes What is the average speed of the aircraft?

a) 600 knots

# b) 860 knots

c) 550 knots

104. Locus points plotted equidistant from a central points represent

a) diameter

b) radius

# c) circumference

105. A circle contains

a) 4p radians

# b) 2p radians

c) 2pr radians

106. What is the surface area of a cylinder whose diameter is 20cm and height of 15 cm?

a) 942p

b) 350p

# c) 300p

107. An oblique pyramid is one which has its axis

# a) not perpendicular to its base

b) perpendicular to its base

c) parallel to its base

108. An input gear has 20 teeth and the output gear has 120 teeth. If the input gear rotates 360 degrees, the output gear will rotate

a) 90 degrees

b) 45 degrees

# c) 60 degrees

109. A line from the centre of a circle is called

a) its segment

b) diameter

# c) radius

110. Four percent of 0.01 is

a) 0.04

b) 0.004

# c) 0.0004

111. (x - 3)(x + 5) =

a) x² - 15

# b) x² + 2x - 15

c) x² + 2x

Page 14 - Mod 1

112. (6+2)² X 2 – (2 X 45) =

# a) 38

b) 218

c) 128

113. V = (a + b) r² Find a

a) V – r² – b

b) (V – b) / r²

# c) V / r² - b

114. Give the names of a triangle, which has two sides equal in length and two equal angles.

a) Equilateral

# b) Isosceles

c) Obtuse

115. 17 degrees 49 minutes and 10 seconds added to 22 degrees 22 minutes and 59 seconds, equal

a) 40 degrees 11 minutes and 69 seconds

b) 39 degrees 11 minutes and 9 seconds

# c) 40 degrees 12 minutes and 9 seconds

116. the diameter of a cylinder is 200 cm and the height is 20 cm, what is the volume.

# a) 628000 cm³

b) 8000 cm³

c) 62800 cm³

117. In an equilateral triangle, all of the angles are equal, to

# a) p divided by 3

b) p divided by 2

c) p divided by 4

118. What is an obtuse angle?

# a) one greater than 90^o, but less than 180^o

b) one less than 90^o

c) one greater than 180^o

119. What is tan Æ when Æ = 90^o

# a) + Ve infinity

b) 0

c) –Ve infinity

120. 2x²z² (2x²- 22)=

a) 2x²z²- 22

b) 4x²z²- 44x²z²

# c) 4x⁴z²- 44x²z²

Page 15 - Mod 1

121. in 21 = 43 – X, X is equal to

# a) 43 – 21

b) 43 + 21

c) 21 - 43

122. The comparison of the power input to the power output of an inverter is expressed as a

# a) ratio

b) loss

c) gain

123. The ratio of 6 : 4 can also be expressed as

a) 64%

b) 66%

# c) 150%

124. 200 kilo volts can be expressed as

a) 2 x 10³ volts

b) 2 x 10^-4 volts

# c) 2 x 10⁵ volts

125. What is the surface area of a cone if the base is 8cm diameter and the length is 10cm?

# a) 40p

b) 80p

c) 120p

126. 2x²z² (3x – z²) =

# a) 6x³z² - 2x²z⁴

b) 6x²z² - 2x²z²

c) 6x²z² + 3x – z²

127. What is the area of a rectangle when its height is 11cm and the width 120cm?

a) 1320 m²

# b) 0.132 m²

c) 1.32 m²

128. How many times does the X axis get crossed when y = x² – 3

a) 1

# b) 2

c) 3

129. What is an obtuse angle?

a) an angle less than 90^o

# b) an angle between 90^o and 180^o

c) an angle greater than 180^o

Page 16 - Mod 1

130. 4 3/8 – 2 ¼ + 1/5 =

# a) 2 13/40

b) 3 3/10

c) 2 ¼

131. A congruent triangle has

a) same size different shape

b) same shape different size

# c) same shape and size

132. 4(4 (4 – 1) –1) –1 =

a) 15

b) 31

# c) 43

133. Which shape has no parallel sides?

a) Rhombus

# b) Kite

c) Trapezoid

134. On a graph what is the intercept of y when 4y = x + 8

# a) 2

b) 4

c) 8

135. Which number is the lowest common factor of 36, 66 and 126

a) 23

# b) 6

c) 12

136. What is 3% of 0.001

a) 0.3

b) 0.003

# c) 0.00003

137. (a + b)(a – b) =

# a) a² – b²

b) a² + 2ab – b²

c) a^{2 +
b2}

138. 101110 binary is

a) 46₂

b) 46₈

# c) 46₁₀

Page 17 - Mod 1

139. 11 ¸ 5 =

16 8

a) 10/11

b) 55/128

# c) 11/10

140. 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?

a) 21 gallons

b) 210 gallons

# c) 378 gallons

141. What is the fraction 1/7 in decimal?

a) 0.14295

b) 1.429

# c) 0.14286

142. The supplement of 13 degrees is

a) 76

b) 243

# c) 167

143. The properties of a scalene triangle are

a) all sides are equal

b) acute angle

# c) all sides different lengths

144. What is octal 13 in base 10?

a) 4

# b) 11

c) 5

145. What is the area of a ring with an outer diameter of 90 inches and an inner diameter of 80 inches?

a) p325

# b) 425p

c) p435

146. What is the height of an oblique pyramid?

# a) The height is perpendicular to the base

b) The height is angled to the base

c) The height is parallel to the sides

Page 18 - Mod 1

147. What is the area of the shape below in centimeters?

a) 1130

b) 1000

# c) 1225

148. If y/x = 4 and y = 5 x =

a) 20

# b) 1 ¼

c) 4/5

149. Calculate x

# a) 9.029

b) 8.971

c) 9.570

EASA PART 66 B1 EXAMINATIONS

Monday, 1 July 2013

Module 1 mathematics

Module One