Question # 1

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8

20

8π

20π

If the bisector of an angle of Δ bisects the opposite side, then the Δ is

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Scalene

Isosceles

Right triangle

None of these

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x = ∞ + β + γ

x + β = ∞ + γ

x + γ = β + ∞

x + ∞ = β + γ

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

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98

100

102

104

106

What is the area of a circle whose circumference is π/2 ?

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π/16

π/4

π/2

π

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48

60

72

96

108

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5√2

10

11

13

The angles of triangle are in a ratio of 8 : 3 : 1. The ratio of the longest side of the triangle to the next longest side is

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√6:2

8 : 3

√3:1

8 : 5

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24

32

40

48

60

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18

27

36

45

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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1.5

3

2

3.6

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6.9 cm

9.6 cm

3.9 cm

9.3 cm

If the measures of the angels of a triangle are in the ratio of 1 : 2 : 3, what is the ratio of the length of the smallest side of the triangle to the length of the longest side of the triangle?

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1 : 2

1 : 3

1 : 5

2 : 3

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

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

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2√/A

2π/√A

2√A/π

2√πA

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2.25 cm

4.5 cm

1.25 cm

2.5 cm

A square of area 2 is inscribed in a circle. What is the area of the circle ?

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π/4

π/2

π

π√2

What is the area of a circle whose circumference is π ?

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π/4

π/2

π

2π

If one side of Δ ABC is 5, what is the smallest integer that could be the perimeter of the triangle ?

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8

10

11

12

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