Question # 1

If the length of a rectangle is 4 times its width, and if its area is 144, what is the perimeter ?

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6

24

30

60

96

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15

30

45

54

How many sides does a polygon have if the measure of each interior angle is 8 times the measure of each exterior angle ?

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8

9

10

12

18

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290^o

300^o

280^o

285^o

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48

60

72

96

108

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2.25 cm

4.5 cm

1.25 cm

2.5 cm

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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48

48 + 12 √2

48 + 12√3

60

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

The lengths of the sides of triangle are 3, 5, and x. How many possible values of x are there, if x must be an integer ?

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1

5

7

8

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6

12

6π

12π

A, B, C are the three angles of a Δ . If A - B = 15o and B - C = 30o, then ∠ A is equal to

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65^o

80^o

75^o

85^o

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12

24

36

48

In a Δ ABC, if 2 ∠ A = 3 ∠ B = 6 ∠ C, then ∠ A is equal to

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60^o

30^o

90^o

120^o

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135^o

125^o

115^o

110^o

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4 cm, 7 cm and 3 cm

7 cm, 5 cm and 2 cm

5 cm, 4 cm and 3 cm

4 cm, 5 cm and 2 cm

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18

24

12 + 12 √3

18 + 6 √3

24√2

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4√6 cm

√24 cm

8√3 cm

4√3 cm

A 5 × 12 rectangle is inscribed in a circle. What is the radius of the circle ?

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6.5

7

8.5

13

In ΔABC, the measure of the exterior angles at vertices A and B are 145^o and 125^o, respectively. Which of the following statement about ΔABC above must be true.

i. The triangle is a right triangle.

ii. The triangle is an isosceles triangle.

iii. The triangle is a scalene triangle.

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None

I only

III only

I and III only

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20

30

40

50

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