International Youth Math Challenge 2024: Problem E: The drawing below shows two squares with side

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$International Youth Math Challenge 2024: Problem A: Continue the two sequences of numbers below$

3:16

International Youth Math Challenge 2024: Problem A: Continue the two sequences of numbers below

Continue the two sequences of numbers below and find an equation to calculate the n-th value: n 1 2 3 4 5 6 7 Equation an 2 5 10 17 26 37 bn 1 2 8 48 384 3840

10 months ago

2

$International Youth Math Challenge 2024: Problem B: Find all x ∈ R that solve this equation: x^4+x^$

3:32

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$International Youth Math Challenge 2024: Problem C: Determine the numerical value of the following$

4:16

International Youth Math Challenge 2024: Problem C: Determine the numerical value of the following

Determine the numerical value of the following expression without the use of a calculator: (√2+(3^2 )^(1/4)+∑_(m=1)^3▒(1/m!-√m) ).(2^log_2⁡8 +1/2^3 -∏_(k=1)^8▒(1+1/k) )

10 months ago

4

$International Youth Math Challenge 2024: Problem D: Prove that n^5−n is divisible by 5 for all$

2:58

International Youth Math Challenge 2024: Problem D: Prove that n^5−n is divisible by 5 for all

Prove that n^5 − n is divisible by 5 for all positive integers n.

10 months ago

$International Youth Math Challenge 2024: Problem E: The drawing below shows two squares with side$

4:09

International Youth Math Challenge 2024: Problem E: The drawing below shows two squares with side

The drawing below shows two squares with side lengths a. One of the squares is rotated by 45◦ and placed in the centre of the second square. Find the surface area of the rotated square not overlapping the non-rotated square (grey area).

10 months ago

10 months ago

29

Health & Science Geometry Science Math

The drawing below shows two squares with side lengths a. One of the squares is rotated by 45◦ and placed in the centre of the second square. Find the surface area of the rotated square not overlapping the non-rotated square (grey area).

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