Diumenge, gener 29, 2023
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Math Challenges

At the beginning of each month a Math challenge will come out.

To solve the challenge correctly, you have to:

  • Write the solution with an explanation on a paper with your name and group and left it in the mailbox situated in the hall, before the first day of the following month.
  • Write the reasoned solution in this website (at the bottom of the article).

There will be 3 categories: 

  • Pupils (ESO, Batxillerat and Professional Studies).
  • Teachers and PAS.
  • Web visitors.

January Challenge

Chester’s High School has organized a chess tournament and Berta has signed up. Each player will play a game against each of the other contestants, except, obviously, against himself. The winner of the game scores a point. If the result is a draw, each player scores half a point. At the end of the tournament it turns out that, excluding Berta, the rest of the players scored a total of 99 points. How many players had signed up for the tournament? How many points did Berta get?

December Challenge

For ESO pupils:

*Solutions (pddf)

Correct answers: Nuria B. (teachers), Maya Treuvat (1BACT), Maria L. (4.2 ESO), Pau R. (1BACT), Subaru B. (1BC) and Martí D. (1BC)

November Challenge

Correct answers: Nuria B. (teachers), Maya Treuvat (1st Bat CT).

For ESO pupils:

After Halloween, it’s time for a new math challenge! In this month’s challenge, you
have to look closely at these sums. They seem wrong, but that’s because they are
not ordinary sums. I encourage you to try to find the pattern. Once you figure that
out, what will be the result of the last operation?

For everybody else:

We write a long number putting consecutively: 2003, 2004, 2005,…: 20032004200520062007…

Which digit is in 2004 position?

Solution:

2004: 4 = 501  grups de 4 dígids

2003 + 500 = 2503   per tant a la posició 2004 hi ha un 3

October Challenge

Correct answers: Nuria B. (teachers), Maya Treuvat (1st Bat CT) and Anonymous (talk to your MAT teacher).

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