All Tasks
Graphs f(x)=ax²
The graphs of the image correspond to the functions f(x)=-2x², f(x)=$\frac{1}{2}$x², f(x)=$\frac{-1}{3}$x² and 3x².
How affects the quadratic coefficient to the graphs?
# Quadratic functions
Training
8
Identifying translations from y=-ax²
From the green graph, corresponding to y=-ax² (a>0), obtain the equation of the blue graph and its vertex. One point of this graph is (1,-3)
# Quadratic functions
Reasoning
8
A spirale of numbers
Look at the spiral of numbers. See how they are increasing, starting from 1, then 2 to its left, 3 above, 4 on its right, and turning around in a clock-wise fashion. What is the number to appear just below the 10?
# Operations with natural numbers
Training
5
The far bottom-left diagonal
In the spirale of numbers, what would be the 10th number on the bottom-left diagonal, completing 1, 9, 25, 49, 81, ...
# Operations with natural numbers
Reasoning
5
Order pizza
You and your friends want to order pizza. Your pizza is 3 Euros more expensive than Tim's. Justin's pizza is 4 euros cheaper than yours and Marcel's pizza is 1 euro more expensive than yours. In total you pay 44€.
How much do your pizzas cost each?
# Linear equations
Modeling
9
cube tower 2
Set up a term for the tower that can be used to determine the number of visible side faces as a function of the number of cubes.
# Terms with variables
Modeling
7