1.

In the figure, lines l and m are parallel. If y-z = 60, then what is the value of x ?

(A) 60
(B) 75
(C) 90
(D) 120
(E) 135

2.

In the figure, AD and BC are lines intersecting at O. What is the value of a ?

(A) 15
(B) 30
(C) 45
(D) 60
(E) 135

3.

In the figure shown, what is the value of x?

(A) 5
(B) \frac { 5 }{ \sqrt { 2 } }
(C) 5.2
(D) 5\sqrt { 2 }
(E) \frac { 10 }{ \sqrt { 2 } }

4.   What is the value of a + b + c + d?

(A) 240
(B) 320
(C) 360
(D) 500
(E) 540

5. From the figure, which one of the following must be true?

(A) y = z
(B) y < z
(C) y\le z
(D) y > z
(E) y\ge z

6. From the figure, which of the following must be true?

(I) x + y = 90
(II) x is 35 units greater than y
(III) x is 35 units less than y
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only

7. Which one of the following is true regarding the triangle shown in figure?

(A) x > y > z
(B) x < y < z
(C) x = y = z
(D) 2x = \frac { 3y }{ 2 }= z
(E) \frac { x }{ 2 } = \frac { 2y }{ 3 } = z

8.  If d = 2c and , e\frac { 1 }{ 2 } a what is x in terms of a, b, and c?

(A) \frac { 3 }{ 2 } a+b+3c-540
(B) \frac { 3 }{ 2 } a+b+3c
(C) 720-\frac { 3 }{ 2 } a-b-3c
(D) 720-\frac { 1 }{ 2 } a-b-2c
(E) 540-\frac { 1 }{ 2 } a-b-\frac { 3 }{ 2 } c

9.  What is the perimeter, in meters, of a rectangular playground24 meters wide that has the same area as a rectangular playground 64

meters long and 48meters wide?

(A) 112
(B) 152
(C) 224
(D) 256
(E) 304

10.

 Quantity A Quantity B a + d-c-90 90-e-b-f

11. Lines  and m below are parallel. Find the values of x and y.

12.

In the figure above, if m||k and s = t + 30, then t =


(A) 30
(B) 60
(C) 75
(D) 80
(E) 105

13.

In the figure above, line k is parallel to line m. What is the value of y ?

14.

 Quantity A Quantity B The length of line segment AC 3

15.

What is the value of x in the figure above?
(A) 5
(B) 10
(C) 18
(D) 30
(E) 54

1 D
2 A
3 A
4 B
5 D
6 B
7 A
8 A
9 The two quantities are equal. (C)
10 C
11. x = 57 and y = 138
12. C
13 17.5
14 B
15 B