MathDB

1

Part of 2022 BMT

Problems(5)

BMT 2022 Fall Algebra P1, General P2

Source:

5/5/2023
Define an operation ◊\Diamond as a◊b=12a−10b. a \Diamond b = 12a - 10b. Compute the value of ((((20◊22)◊22)◊22)◊22).((((20 \Diamond 22) \Diamond 22) \Diamond 22) \Diamond22).
algebraeasy
BMT 2022 Fall Discrete P1, General P3 (Food!)

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5/6/2023
For lunch, Lamy, Botan, Nene, and Polka each choose one of three options: a hot dog, a slice of pizza, or a hamburger. Lamy and Botan choose different items, and Nene and Polka choose the same item. In how many ways could they choose their items?
number theory
BMT 2022 Geometry # 1 / General 6

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8/12/2023
To fold a paper airplane, Austin starts with a square paper FOLDF OLD with side length 22. First, he folds corners LL and DD to the square’s center. Then, he folds corner FF to corner OO. What is the longest distance between two corners of the resulting figure?
geometry
BMT 2022 Guts #1

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8/31/2023
What is the sum of all positive 22-digit integers whose sum of digits is 1616?
number theory
BMT 2022 Fall General P1

Source:

5/7/2023
What is the sum of all two-digit odd numbers whose digits are all greater than 66?