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2003 AMC 10B

1、Which of the following is the same as

Solution

2、Al gets the disease algebritis and must take one green pill and one pink pill each day for two weeks. A green pill costs pills cost a total of

Solution

3、The sum of 5 consecutive even integers is less than the sum of the ?rst consecutive odd counting numbers. What is the smallest of the even integers?

Solution

4、Rose fills each of the rectangular regions of her rectangular flower bed with a different type of flower. The lengths, in feet, of the rectangular regions in her flower bed are as shown in the ?gure. She plants one flower per square foot in each region. Asters cost 1 each, begonias 1.50 each, cannas 2 each,

more than a pink pill, and Al’s

for the two weeks. How much does one green pill cost?

dahlias 2.50 each, and Easter lilies 3 each. What is the least possible cost, in dollars, for her garden?

Solution

5、Moe uses a mower to cut his rectangular swath he cuts is

-foot by

-foot lawn. The

inches wide, but he overlaps each cut by inches to make

feet per hour while

sure that no grass is missed. He walks at the rate of

pushing the mower. Which of the following is closest to the number of hours it will take Moe to mow his lawn?

Solution .

6、Many television screens are rectangles that are measured by the length of their diagonals. The ratio of the horizontal length to the height in a standard television screen is

. The horizontal length of a “

-inch” television screen

is closest, in inches, to which of the following?

Solution 7、The symbolism example.

, and

denotes the largest integer not exceeding

. Compute

Solution .

8、The second and fourth terms of a geometric sequence are and . Which of the following is a possible first term?

Solution

. For

9、Find the value of that satisfies the equation

Solution