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 playground\(\)24\(\) meters wide that has the same area as a rectangular playground \(\)64\(\)
meters long and \(\)48\(\)meters 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\(\)
Answers:
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
