# DAY/DYDD/GIORNO/NAP 306:

The Main Challenge

There are 62 people employed by a company and all of them travel to work by car, bus or train. If 34 employees either drive or go by bus and the difference between those who drive and those who go by train is nine, find the number of people who use each different mode of transport.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 3rd rows contain the following fourteen numbers:

2   9   13   14   15   22   25   36   40   42   45   66   72   80

What is the average of the three consecutive numbers on the list?

The Factors Challenge

Which THREE of the following Prime Numbers are factors of 306?

2    3    5    7    11    13    17    19    23    29

The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

2    3    5    7    11    13    17    19    23    29

The Target Challenge

Can you arrive at 306 by inserting 1, 2, 3, 4 and 5 into the gaps below?

•  (◯²+(◯+◯–◯)²)×◯² = 306