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Math Challenges

Rules: 

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.

The winners of this year contest are:

Pupils: Anna Riu (1st Batx C)

Teachers: Paco R.

April challenge

Calculate the area of the shaded part of the figure.

April solution:

Area= 2·(b·a)/2 = (b·2a)/2 = (1·8)/2 = 4 cm2

April winners:

Pupils: Hèctor C. i Anna R. (1st Batx C).

Teachers:  Paco R. i Celso P.

Mars challenge

A racer is training running up a mountain next to a cableway.

Every 4 seconds the racer intersects with a cabin that goes down and every 12 seconds a cabin that goes up advances the corridor. Knowing that both, the speed of the cabins and the racer, are constant, what is the exit frequency of the cabins?

Mars solution:

The exit frequency of the cabins is 6 seconds:

→ f = T = 6 s

Mars winners:

Pupils: Anna R. (1st Batx C).

Teachers:  Núria B.

February challenge

We have a square of 125 cmof area, divided into five parts of equal area: four squares and one L-shaped figure, as you can see in the attached figure:

What is the length of the shortest side in the L-shaped figure?

February solution:

The shortest side in the L-shaped figure is 1,18 cm

February winners:

Pupils: Elisenda B., Sara M.,Héctor C., Anna R., Àlex de los S., Pau G. (1st Batx C) i Àlex B. (2nd Batx C)

Teachers:  Núria B. i Enric M.

January challenge

January solution:

January winners:

Pupils: Àlex de los S., Pau G., Hèctor C., Elisenda B., Anna R. i Sara M. de 1st  Batx. C.

Teachers: Paco R. i Enric M.

December challenge

To write the angles of a triangle we have used these six numbers: 7, 7, 7, 4, 5 and 6.

We know that an angle is 20 degrees greater than another.How much measure the angles of this triangle?

December solution:

The angles are: 57, 77, 460

December winners:

Pupils: M., Anna R., Núria P., Hector C. and Elisenda B. (1st ESO) and  Àlex de los S. de 1st de Batx. C., Àlex B. (2nd Batx. C).

Teachers: Núria B., Paco R., Enric M. and Jaume P.

November challenge

How many numbers of 5 different figures fulfill that the number of the units is the sum of the remaining four?

November solution:

We only have 7 combinations of 4 digit different numbers that add 6, 7, 8 or 9. The permutations of 4! are 24 (less 1/4 of that quantity because we don’t count the “0″ in the first position, and “0″ is in all the combinations: 18).
So 7×18=126

November winners:

  • Pupils:          Laia B., Elisenda B., Anna R., Sara M., Alex de los S and Hector C. (1st Batx) and Alex Batlle (2nd Batx).
  • Teachers:    Enric M. and Paco R.

October challenge

October winners:

  • Teachers: Carme B., Paco R., Núria B., Enric M., Jaume P., Begoña M. and Carme B.
  • Pupils: Noah Byrne (3rd ESO) , Albert C.(de 4th d’ESO), Mario B., Núria P., Anna R., Hug C., Òscar Á., Arnau  V., Queralt R., Héctor C., Laura B., Roger C., Adriàn G., Elisenda B., Laia B., Pau G., Clara S., Sara M., Quim V. and Alex de los S. (1st de Batx.) and  Víctor V. Sergi T., Ricard P., Lucia M., Àlex B., Guillem C. and Guillem C. (2nd Batx),      

 

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