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2006 AMC 12A Problems

Revision as of 16:17, 30 June 2006 by Matt276eagles (talk | contribs) (Added problems 1-5)

Problem 1

Sandwiches at Joe's Fast Food cost $3 each and sodas cost $2 each. How many dollars will it cost to purchase 5 sandwiches and 8 sodas?

Solution

Problem 2

Define $x\otimes y=x^3-y$. What is $h\otimes (h\otimes h)$?

Solution

Problem 3

The ratio of Mary's age to Alice's age is 3:5. Alice is 30 years old. How old is Mary?

Solution

Problem 4

A digital watch displays hours and minutes with AM and PM. What is the largest possible sum of the digits in the display?

Solution

Problem 5

Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half the pizza. The cost of a plain pizza was $8, and there was an additional cost of $2 for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each paid for what he had eaten. How many more dollars did Dave pay than Doug?

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

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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

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Problem 22

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Problem 23

Solution

Problem 24

Solution

Problem 25

Solution

See also