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\(\)

$\mathrm{}$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