AMC 8 Training Quiz

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A child's wading pool contains 200 gallons of water. If water evaporates at the rate of 0.5 gallons per day and no other water is added or removed, how many gallons of water will be in the pool after 30 days?

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For a sale, a store owner reduces the price of a $10 scarf by 20% . Later the price is lowered again, this time by one-half the reduced price. The price is now

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• (A) 3

• (B) 4

• (C) 5

• (D) 6

• (E) 7

Harry has 3 sisters and 5 brothers. His sister Harriet has S sisters and B brothers.
What is the product of S and B?

• (A) 8

• (B) 10

• (C) 12

• (D) 15

• (E) 18

Elsa produces a sequence of positive integers by following three rules.

She starts with a positive integer, then applies the appropriate rule to the result, and continues in this fashion.

Rule 1: If the integer is less than 10, multiply it by 9.
Rule 2: If the integer is even and greater than 9, divide it by 2.
Rule 3: If the integer is odd and greater than 9, subtract 5 from it.
A sample sequence: 23, 18, 9, 81, 76, . . . .
Find the 98th term of the sequence that begins 98, 49, . . . .

• (A) 6

• (B) 11

• (C) 22

• (D) 27

• (E) 54