2005 AMC 12B Problems

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Problem 1

A scout troop buys candy bars at a price of five for dollars. They sell all the candy bars at the price of two for dollar. What was their profit, in dollars?

Solution

Problem 2

The equations and have the same solution for . What is the value of ?

Solution

Problem 3

A rectangle with a diagonal of length is twice as long as it is wide. What is the area of the rectangle?

Solution

Problem 4

The average (mean) of numbers is 3020 \mathrm{(A)}\ \frac14x^2 \qquad \mathrm{(B)}\ \frac25x^2 \qquad \mathrm{(C)}\ \frac12x^2 \qquad \mathrm{(D)}\ x^2 \qquad \mathrm{(E)}\ \frac32x^2 $

Solution

Problem 5

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Problem 11

Solution

Problem 12

Solution

Problem 13

Solution

Problem 14

Solution

Problem 15

Solution

Problem 16

Solution

Problem 17

Solution

Problem 18

Solution

Problem 19

Solution

Problem 20

Solution

Problem 21

Solution

Problem 22

Solution

Problem 23

Solution

Problem 24

Solution

Problem 25

Solution

See also

• AMC 12
• AMC 12 Problems and Solutions
• 2005 AMC 12B
• 2005 AMC B Math Jam Transcript
• Mathematics competition resources