Exercise 1. Calculate

$$
\frac{4 \times 6 \times 8 \times 10 \times 12}{2 \times 3 \times 4 \times 5 \times 6}
$$

Only a numerical answer is expected here.
Solution to Exercise 1 We identify each factor in the denominator with its double present in the numerator:

$$
\frac{4 \times 6 \times 8 \times 10 \times 12}{2 \times 3 \times 4 \times 5 \times 6}=\frac{4}{2} \times \frac{6}{3} \times \frac{8}{4} \times \frac{10}{5} \times \frac{12}{6}=2 \times 2 \times 2 \times 2 \times 2=32
$$

Graders' Comment An exercise very well done, and most of the errors are calculation errors. It is worth noting in this regard that explaining one's reasoning can possibly earn points even if a mistake has been made.