     #### Algebraic expression with powers

Solve the following expression: $4^7 ∶ 4^5 + 3^2 \cdot 6^2 ∶ 6^2 + 12^4: 12^3 − (5^4)^3 ∶ 5^{10}$

# Powers of integer exponent

Training
8      #### Multiplication with a number

What is the result if you multiply the fraction $\frac{2}{3}$ with the number 5?

# Fractions

Learning
6      #### It’s time to eat!

There is a pizza composed by eight slices. Vanessa is hungry and decides to eat five slices. How much pizza is left? Write it in a fraction.

# Fractions

Modeling
6    #### Derivative of e

In the picture you can see the function $f(x)=e^x$. Think about the derivative and imagine drawing it. What is true?
# Exponential function
# Derivation of functions

Reasoning
11    #### Clinic waiting room

In a clinic the probability for a patient to wait less than 10 minutes before entering for a visit is 0.8. What is the probability for a patient, who goes 2 times to the clinic, to wait, at least 1 time, less than 10 minutes.

# Multi-stage random experiments

Training
7    #### Derivative of a Function

In the picture you can see the function $f(x)=-x^2+2$. Think about the derivative and imagine drawing it. What is true?

# Derivation of functions

Training
11