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In the figure below, both circles are centered around X. The length of XY is 2 units and the length of XZ is 6 units. If the smaller circle is cut out of the larger circle, how much of the area, in square units, of the larger circle will remain?

(A)12π

(B) 16π

(C) 32π

(D) 36π

(E) 40π

The Correct Answer

How many different integer values of a satisfy the inequality ?

(A)1 (B) 2 (C) 3 (D) 4 (E) 5

Correct Answer: E

The formula for the volume of a sphere is , and the formula for the surface area of a sphere is . If a sphere has a surface area of 36π, what is its volume?

(F) 27π(G) 36π(H) 54π(J) 72π(K) 108π

Correct Answer: G

In the triangles shown below, what is the average of angles a, b, c, d, and e?

(A)30° (B) 45° (C) 54° (D) 60° (E) 72°

Correct Answer: C

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