## Task 5 - 010735

Rolf claims to know a math problem that uses only the number 7 and whose result is the year 1962.

a) Try to set up such a math problem!

b) Can a math problem also be set up that uses only the number 1962 and whose result is 7? If yes, provide this math problem!
$$
\begin{aligned}
\left.a_{1}\right) & \left.\left(7+7+7+7+7+7-\frac{7}{7}-\frac{7}{7}\right) 7\right) \cdot 7 \cdot 7+\frac{7}{7}+\frac{7}{7}=1962 \\
\left.a_{2}\right) & 7 \cdot(7+7) \cdot(7+7)+(7+7+7+7+7) \cdot 7+7 \cdot 7 \cdot 7+(7+7): 7=1962 \\
\text { b) } & \frac{1962+1962+1962+1962+1962+1962+1962}{1962}=7
\end{aligned}
$$

Solutions of the third round in 1961 adopted from [5]

### 4.4 II. Olympiad 1962

### 4.4.1 First Round 1962, Class 7