1.
In the figure, lines [latex]l[latex] and [latex]m[latex] are parallel. If [latex]y-z = 60[latex], then what is the value of [latex]x[latex] ?
(A) [latex]60[latex]
(B) [latex]75[latex]
(C) [latex]90[latex]
(D) [latex]120[latex]
(E) [latex]135[latex]
2.
In the figure, [latex]AD[latex] and [latex]BC[latex] are lines intersecting at [latex]O[latex]. What is the value of [latex]a[latex] ?
(A) [latex]15[latex]
(B) [latex]30[latex]
(C) [latex]45[latex]
(D) [latex]60[latex]
(E) [latex]135[latex]
3.
In the figure shown, what is the value of [latex]x[latex]?
(A) [latex]5[latex]
(B) [latex]\frac { 5 }{ \sqrt { 2 } }[latex]
(C) [latex]5.2[latex]
(D) [latex]5\sqrt { 2 }[latex]
(E) [latex]\frac { 10 }{ \sqrt { 2 } }[latex]
4. What is the value of [latex]a + b + c + d[latex]?
(A) [latex]240[latex]
(B) [latex]320[latex]
(C) [latex]360[latex]
(D) [latex]500[latex]
(E) [latex]540[latex]
5. From the figure, which one of the following must be true?
(A) [latex]y = z[latex]
(B) [latex]y < z[latex]
(C) [latex]y\le z[latex]
(D) [latex]y > z[latex]
(E) [latex]y\ge z[latex]
6. From the figure, which of the following must be true?
(I) [latex]x + y = 90[latex]
(II) [latex]x[latex] is [latex]35[latex] units greater than [latex]y[latex]
(III) [latex]x[latex] is [latex]35[latex] units less than [latex]y[latex]
(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) [latex]x > y > z[latex]
(B) [latex]x < y < z[latex]
(C) [latex]x = y = z[latex]
(D) [latex]2x = \frac { 3y }{ 2 }= z[latex]
(E) [latex]\frac { x }{ 2 } = \frac { 2y }{ 3 } = z[latex]
8. If [latex]d = 2c[latex] and , [latex]e\frac { 1 }{ 2 } a[latex] what is [latex]x[latex] in terms of [latex]a, b[latex], and [latex]c[latex]?
(A) [latex]\frac { 3 }{ 2 } a+b+3c-540[latex]
(B) [latex]\frac { 3 }{ 2 } a+b+3c[latex]
(C) [latex]720-\frac { 3 }{ 2 } a-b-3c[latex]
(D) [latex]720-\frac { 1 }{ 2 } a-b-2c[latex]
(E) [latex]540-\frac { 1 }{ 2 } a-b-\frac { 3 }{ 2 } c[latex]
9. What is the perimeter, in meters, of a rectangular playground[latex]24[latex] meters wide that has the same area as a rectangular playground [latex]64[latex]
meters long and [latex]48[latex]meters wide?
(A) 112
(B) 152
(C) 224
(D) 256
(E) 304
10.
| Quantity A | Quantity B |
| [latex]a + d-c-90[latex] | [latex]90-e-b-f[latex] |
11. Lines and [latex]m[latex] below are parallel. Find the values of [latex]x[latex] and [latex]y[latex].
12.
In the figure above, if [latex]m[latex]||[latex]k[latex] and [latex]s = t + 30[latex], then [latex]t =[latex]
(A) [latex]30[latex]
(B) [latex]60[latex]
(C) [latex]75[latex]
(D) [latex]80[latex]
(E) [latex]105[latex]
13.
In the figure above, line [latex]k[latex] is parallel to line [latex]m[latex]. What is the value of [latex]y[latex] ?
14.
| Quantity A | Quantity B |
| The length of line segment [latex]AC[latex] |
[latex]3[latex] |
15.
What is the value of x in the figure above?
(A) [latex]5[latex]
(B) [latex]10[latex]
(C) [latex]18[latex]
(D) [latex]30[latex]
(E) [latex]54[latex]
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
