Question # 1

In Δ ABC, ∠ A = 30^o , a = 6, and c = 8. Which of the following must be true ?

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0^o < ∠C < 90^o

90^o < ∠C < 180^o

45^o < ∠C < 135^o

0^o < ∠C < 45^o or 130^o < ∠C < 180^o

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360

540

720

900

1080

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19 + 5 √2

28

17 + √185

32

If A is the area and C the circumference of a circle, which of the following is an expression for A in terms of C ?

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C²/4π

C²/4π²

2C

2C²√π

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3

2 + 3√2

3 + 2√2

5

8

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180 cm2

240 cm2

120 cm2

150 cm2

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15

30

45

54

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18

72

18√3

36√3

36√2

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BC < CA < CD

BC > CA > CA

BC < CA, CA > CD

BC > CA, CA < CD

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100

110

120

130

The length of a rectangle is 5 more than the side of a square, and the width of the rectangle is 5 less than the side of square. If the area of the square is 45, what is the area of the rectangle ?

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20

25

45

50

70

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60^o

65^o

75^o

70^o

In Δ ABC, ∠ A = 30^o , b = 8, and a = 4√2 . Angle C could equal

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45^o

135^o

60^o

15^o

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x = ∞ + β + γ

x + β = ∞ + γ

x + γ = β + ∞

x + ∞ = β + γ

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6

11

22

30

Find the measure of an angle, if six times its complement is 12^o less than twice its supplement.

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48^o

96^o

24^o

58^o

Two sides of a right triangle are 12 and 13, which of the following could be the length of the third side ?

i. 5

ii. 11

iii. √313

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1 only

2 only

1 and 2

1 and 3

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15

30

45

60

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135^o

125^o

115^o

110^o

In ΔABC, D and E are the mid-points of AB and AC, respectively. Find the ratio of the areas of Δ ADE and Δ ABC.

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1/2

1/4

3/4

1/8

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98

100

102

104

106

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