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AIME 2025 I / Tasks

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1–15 / 15 tasks

AIME2025-I / test
Alex divides a disk into four quadrants with two perpendicular diameters…
Answer published by the source
Identifiers
task_id
01ad4919-4f39-5ec8-8b30-260ecf9c1735
task_key
AIME2025~2dI--test--01ad4919-4f39-5ec8-8b30-260ecf9c1735
AIME2025-I / test
Find the sum of all integer bases b>9 for which 17_(b) is a divisor of…
Answer published by the source
Identifiers
task_id
0b0a0131-4823-57d9-9e44-3f5bab0078ff
task_key
AIME2025~2dI--test--0b0a0131-4823-57d9-9e44-3f5bab0078ff
AIME2025-I / test
Find the number of ordered pairs (x,y), where both x and y are integers…
Answer published by the source
Identifiers
task_id
1f055f8e-78dc-50a6-8fb7-50ef57db44a6
task_key
AIME2025~2dI--test--1f055f8e-78dc-50a6-8fb7-50ef57db44a6
AIME2025-I / test
Let ABCDE be a convex pentagon with AB=14,BC=7,CD=24,DE=13,EA=26, and…
Answer published by the source
Identifiers
task_id
3b06c8ec-d855-5dbb-927a-fb648086fd14
task_key
AIME2025~2dI--test--3b06c8ec-d855-5dbb-927a-fb648086fd14
AIME2025-I / test
The 9 members of a baseball team went to an ice cream parlor after their game.…
Answer published by the source
Identifiers
task_id
52e2e56e-0fe4-548f-8761-90bf6cb54907
task_key
AIME2025~2dI--test--52e2e56e-0fe4-548f-8761-90bf6cb54907
AIME2025-I / test
Let N denote the number of ordered triples of positive integers (a,b,c) such…
Answer published by the source
Identifiers
task_id
54ff0b0c-b6a4-530f-996e-1db4170f77cd
task_key
AIME2025~2dI--test--54ff0b0c-b6a4-530f-996e-1db4170f77cd
AIME2025-I / test
A piecewise linear periodic function is defined by …
Answer published by the source
Identifiers
task_id
7bbe7d57-c3a4-57f6-b8d2-6a0bae458665
task_key
AIME2025~2dI--test--7bbe7d57-c3a4-57f6-b8d2-6a0bae458665
AIME2025-I / test
The twelve letters A,B,C,D,E,F,G,H,I,J,K, and L are randomly grouped into…
Answer published by the source
Identifiers
task_id
81da29ae-f227-575d-b69c-743a55573ce0
task_key
AIME2025~2dI--test--81da29ae-f227-575d-b69c-743a55573ce0
AIME2025-I / test
The set of points in 3-dimensional coordinate space that lie in the plane…
Answer published by the source
Identifiers
task_id
a0bebb8c-758c-596f-a9fe-d191ef47553a
task_key
AIME2025~2dI--test--a0bebb8c-758c-596f-a9fe-d191ef47553a
AIME2025-I / test
There are 8!=40320 eight-digit positive integers that use each of the digits…
Answer published by the source
Identifiers
task_id
a610c01b-01ff-53ef-93a4-48ad1f50536b
task_key
AIME2025~2dI--test--a610c01b-01ff-53ef-93a4-48ad1f50536b
AIME2025-I / test
The 27 cells of a 3×9 grid are filled in using the numbers 1 through 9 so…
Answer published by the source
Identifiers
task_id
abca377c-e386-5271-9041-75a4e1495490
task_key
AIME2025~2dI--test--abca377c-e386-5271-9041-75a4e1495490
AIME2025-I / test
On △ABC points A,D,E, and B lie that order on side…
Answer published by the source
Identifiers
task_id
ae2cd3e6-5b7c-55aa-9abf-c3869c959937
task_key
AIME2025~2dI--test--ae2cd3e6-5b7c-55aa-9abf-c3869c959937
AIME2025-I / test
Let k be real numbers such that the system |25+20i−z|=5 and…
Answer published by the source
Identifiers
task_id
cc633a4e-f53d-53be-87a0-280ea4b78388
task_key
AIME2025~2dI--test--cc633a4e-f53d-53be-87a0-280ea4b78388
AIME2025-I / test
An isosceles trapezoid has an inscribed circle tangent to each of its four…
Answer published by the source
Identifiers
task_id
ce05f6da-e95a-53dc-a204-debf0d083c50
task_key
AIME2025~2dI--test--ce05f6da-e95a-53dc-a204-debf0d083c50
AIME2025-I / test
The parabola with equation y=x²−4 is rotated 60^(∘) counterclockwise…
Answer published by the source
Identifiers
task_id
eda8c6ff-6dc7-5873-b09e-4a235b512b82
task_key
AIME2025~2dI--test--eda8c6ff-6dc7-5873-b09e-4a235b512b82