2025 AIME II Problems

2025 AIME II (Answer Key) | AoPS Contest Collections • PDF

Instructions This is a 15-question, 3-hour examination. All answers are integers ranging from to , inclusive. Your score will be the number of correct answers; i.e., there is neither partial credit nor a penalty for wrong answers. No aids other than scratch paper, rulers and compasses are permitted. In particular, graph paper, protractors, calculators and computers are not permitted.

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Problem 1

Six points and lie in a straight line in that order. Suppose that is a point not on the line and that and Find the area of

Solution

Problem 2

Find the sum of all positive integers such that divides the product .

Solution

Problem 3

Four unit squares form a grid. Each of the unit line segments forming the sides of the squares is colored either red or blue in such a say that each unit square has red sides and blue sides. One example is shown below (red is solid, blue is dashed). Find the number of such colorings.

Solution

Problem 4

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

See also

• American Invitational Mathematics Examination
• AIME Problems and Solutions
• Mathematics competition resources

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.