Conceptos Generales
Graphiques
Wild Algebra
Random
Le Monde des Nombres
Geometría y Espacio
Probability
100
¿ Qué tipo de número es
sqrt(51) ?
Irracional
100
In a coordinate plane, this is the name of the horizontal axis, also known as the x-axis.
The abscissa axis (En)
El eje de Abscisas (Es)
L'axe des abscisses (Fr)
100
Factoriser le expression suivante:
4x^2-(1-5x)^2
4x^2-(1-+25x^2-10x)=
-21x^2+10x-1
-21x^2+10x-1=0->x_1=1/3;x_2=1/7
Solution: -21(x-1/7)(x-1/3)=-(7x-1)(3x-1)=
=(1-7x)(3x-1) =(7x-1)(1-3x)
100
This natural border is a famous mountain range that separates the Iberian Peninsula from the rest of Europe, acting as a giant wall between Spain and France.
The Pyrenees (Los Pirineos / Les Pyrénées)
100
C'est ainsi que l'on écrit le nombre 3100 en notation scientifique.
3,1·10^3
100
Quelle est la somme des angles intérieurs de n'importe quel quadrilatère?
360º
100
What is the probability of getting exactly one head and one tail when flipping two fair coins?
1/2 = 50% = 0.5
200
This mathematical constant represents the ratio of a circle's circumference to its diameter.
pi
200
"Si fallas, tienes que dar los puntos a otro equipo".
Expresión analítica de una función de proporcionalidad directa que pasa por el punto (3,6)
f(x)=2x
200
"If you get it wrong, you lose these points."
In a farm, there are chickens and rabbits. If we count the heads, there are 35, and if we count the legs, there are 94. How many chickens and how many rabbits are there?
23 chickens and 12 rabbits
200
"Everybody dance for 200 points"
"Awesome moves, everybody! You all get 200 points, well done!"
200
Si aciertas multiplicas x2 los puntos de la pregunta
(2^3·(-3)^5·7^-2)/(2·(-3)^9·7^6
2^2·(-3)^-4·7^-8=2^2·3^-4·7^-8
200
What is the sum of the interior angles of a regular hexagon?
720º
200
(Es) En una caja hay 3 bolas verdes y 2 bolas amarillas. Si sacas dos bolas sin devolver la primera, ¿cuál es la probabilidad de que las dos sean verdes? (Expresa el resultado como porcentaje).
(Fr) Dans une boîte, il y a 3 boules vertes et 2 boules jaunes. Si vous tirez deux boules sans remettre la première, quelle est la probabilité que les deux soient vertes ?
30%
300
It is the largest prime number that exactly divides the number 10164.
11
300
Répondez correctement à 2 des 3 questions posées:
a) Cette fonction est-elle une fonction impaire f(-x)=-f(x) ?
b) En observant le graphique, sur quel intervalle de x la fonction est-elle décroissante ?
c) Quel est le domaine de la fonction f ?
a) Oui, elle est une fonction impaire.
b) f est décroissante sur (-oo,0)
c) RR
300
Escribe en forma de intervalo el conjunto de valores reales tales que
2(x-3)<=2+4x
[-4,+oo)
300
This famous American actress became a global sensation for her lead role as Wednesday Addams in the hit Netflix series "Wednesday."
Jenna Ortega <3
300
If you get it right, you subtract these points from the group of your choice!
Calculate the LCM (Least Common Multiple) of 225 and 175.
3^2·5^2·7=1575
300
If a square has a diagonal measuring
sqrt50
cm, what is the area of that square?
25 cm2
300
"Send this question to another team. If they get it wrong, you keep those points and they lose them. If they get it right, you lose them and they win them."
You have two boxes. Box A contains 3 red balls and 1 blue ball. Box B contains 2 red balls and 2 blue balls. If you pick a box at random and draw a ball, what is the probability that it is red?
5/8 = 62,5%
400
"Si vous gagnez, retirez les points à l'équipe de votre choix!"
Comment appelle-t-on deux droites qui ne se croisent jamais?
Parallèles
400
If a parabola has the equation f(x) = x^2 - 6x + 5 , what are the exact coordinates of its vertex and at which points does it intersect the x-axis?
The vertex is (3, -4) and the x-intercepts are (1, 0) and (5, 0) .
400
According to the Factor Theorem, if the polynomial P(x) = x^3 - kx^2 + 3x - 2 is divisible by (x - 2) , what must be the value of the constant k ?
Factor Theorem: P(2)=0 :
P(2)=8-4k+6-2=0 ->k=3
400
"Soustrayez 200 points du groupe que vous souhaitez"
Célèbre attaquant français qui a révolutionné les supporters d'Espagne et de France lorsqu'il a quitté Paris pour rejoindre le Real Madrid
Kylian Mbappé
400
The price of a 800€ laptop increases by 20% in January, but in the February sales, a 20% discount is applied to the new price. What is the final price of the laptop?
768€
400
"You can send this question to another team."
What is the name of this regular polyhedron?
Dodecahedron (En)
Dodecaedro (Es)
Dodécaèdre (Fr)
400
80% of students in a class have an Instagram account and 25% have a TikTok account. If having one social network does not influence having the other (they are independent), what is the probability of picking a student at random who has an account on both platforms?
0.80 · 0.25 = 0.20 -> 20%
500
Si un cono y un cilindro tienen el mismo radio y la misma altura, ¿qué fracción del volumen del cilindro ocupa el volumen del cono?
1/3
Volumen Cilindro: V = \pi \cdot r^2 \cdot h
Volumen Cono: V = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h
500
"Puedes pasar esta pregunta, pero si acierta el otro equipo restarás 200 puntos"
Dominio de
f(x)=(3x+2)/(2x-6)
Dom f = RR-{3}
500
"ALL TEAMS ACTIVE, EVERYONE CAN SCORE POINTS"
ES: Se quiere construir una caja sin tapa a partir de una hoja de cartón cuadrada de 12 cm de lado, cortando un cuadrado de lado x en cada esquina. ¿Cuál debe ser el valor de x para que el área de la base de la caja sea exactamente de 64 cm²?
FR: On veut construire une boîte sans couvercle à partir d'une feuille de carton carrée de 12 cm de côté, en découpant un carré de côté x à chaque coin. Quelle doit être la valeur de x pour que l'aire de la base de la boîte soit exactement de 64 cm² ?
EN: A box without a lid is to be made from a square sheet of cardboard with 12 cm sides by cutting a square of side x from each corner. What must be the value of x so that the area of the base of the box is exactly 64 cm²?
(12-2x)^2=64 ->12-2x=8 ->x=2
500
Famoso pueblo donde transcurre Stranger Things
Hawkins
500
A positive integer has exactly 3 divisors. If the sum of those three divisors is 183, what is the number?
13 because:
- Key property: A positive integer has exactly 3 divisors if and only if it is the square of a prime number ( p^2 ).
- Setting up the equation: The divisors of any number p^2 are always 1 , p , and p^2 . According to the problem:
1 + p + p^2 = 183
- Solving the quadratic equation:
p^2+p-182=0
p=13
500
"Challenge another team! If you get it right, you win the points. If both teams get it right, you share the points."
The surface area of a sphere is exactly 100\pi \text{ cm}^2 . What is the volume of this sphere in terms of \pi ?
1. Find the radius r : Use the surface area formula A = 4\pi r^2 .
100 pi=4pir^2->100=4r^2->25=r^2->r=5 cm
2. Calculate the volume:
V=4/3pi 5^3=4/3 pi 125=500/3 pi cm^3
500
¿Cuál es la probabilidad de que la bola caiga en C?
3/8