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Scott's swimming pool has a depth of 8 feet and holds 13,000 gallons of water when full. Because of the warm weather, 10% of the water in the pool evaporates each day. Scott fills the pool with water and comes back the next day to measure the amount of water remaining in the pool. He considers this "Day 1" because it was taken 1 day after the pool was filled, and he labels his measurement as such. The next day, he measures the amount of water again, and he labels the results "Day 2" because it is now 2 days after he filled the pool. If Scott continues, on which day will he measure the pool that it is less than half full?

(A)5

(B) 6

(C) 7

(D) 8

(E) 9

The Correct Answer

The perimeter of a rectangle is 20 cm. If the width is 4 cm, find the length of the rectangle.

(A) 5 cm (B) 6 cm (C) 15 cm (D) 25 cm (E)32 cm

Correct Answer: B

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

In the figure below, all line segments that intersect are perpendicular. Using only the segments and vertices in the figure, how many distinct rectangles are there with areas less than the area of ADLI? (Note: If 2 rectangles have all four vertices in common, then they are not distinct.) image

(A)7 (B) 8 (C) 17 (D) 18 (E) 19

Correct Answer: C

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