1.

In the ﬁgure above, the diameter of the circle is 10.

 Quantity A Quantity B The area of quadrilateral ABCD 40

2. For the rectangular solid below, ﬁnd the following.

(a) Surface area of the solid
(b) Length of diagonal AB

3. A circle is inscribed in a square with sides of length 5.

 Quantity A Quantity B The circumference of the circle 15

4. Eight points are equally spaced on a circle. If 4 of the 8 points are to be chosen at random, what is the probability that a quadrilateral having the 4 points chosen as vertices will be a square? 

(A) \frac{ 1 }{ 70 }
(B) \frac{ 1 }{ 35 }
(C) \frac{ 1 }{ 7 }
(D) \frac{ 1 }{ 4 }
(E) \frac{ 1 }{ 2 }

5. A ﬂat rectangular picture, represented by the unshaded region in the ﬁgure above, is mounted in a ﬂat rectangular frame, represented by the shaded region. The frame is 1 inch wide on all sides. For what value of x, in inches, is the area of the frame equal to the area of the picture? 

(A) 4 
(B) 5 
(C) 6 
(D) 7 
(E) 8

6. In the figure, ABCD is a square, and BC is tangent to the circle with radius 3. P is the point of intersection of the line OC and the circle. If PC = 2, then what is the area of square ABCD ?

(A) 9
(B) 13
(C) 16
(D) 18
(E) 25

7. In the figure, ABCD and ABEC are parallelograms. The area of the quadrilateral ABED is 6. What is the area of the parallelogram ABCD ?

(A) 2
(B) 4
(C) 4.5
(D) 5
(E) 6

8. In the figure, if y = 60, then what is the value of z ?

(A) 20
(B) 30
(C) 55
(D) 75
(E) 90

9. In the figure, P and Q are centers of the two circles of radius 3 and 4, respectively. A and B are the points at which a common tangent touches each circle.

 Quantity A Quantity B AB PQ

10. In the figure, what is the area of ∆ABC if EC/CD = 3 ?

(A) 12
(B) 24
(C) 81
(D) 121.5
(E) 143

11. In the figure above, point O is the center of the circle, points A and C are located on the circle, and line segment BC is tangent to the circle. If the area of triangle OBC is 24, what is the length of AB?

(A) 2
(B) 4
(C) 6
(D) 8
(E) 10

12. In the figure, ∆ABC is inscribed in the circle. The triangle does not contain the center of the circle O.

 Quantity A Quantity B x 90

13.

 Quantity A Quantity B The area of the square 50

14.  In the 7-inch square above, another square is inscribed. What fraction of the larger square is shaded?

(A) 3/12
(B) 24/49
(C) 1/2
(D) 25/49
(E) 7/12

15.

 Quantity A Quantity B a+g+f e+b+h

1 D
2 (a) 208 (b) 3\sqrt { 17 }
3 A
4 B
5 C
6 C
7 B
8 B
9 B
10 D
11 B
12 A
13 A
14 B
15 A