# DAY/DYDD/GIORNO/NAP 285: The Main Challenge

In our FlagMath series of maths card games, players try to find eleven different pairs of answers quicker than their opponents. In our blog question below, you only have to find one pair.

The two sections both contain nine letters, A-I, each containing a simple addition calculation. Which is the only letter to have the SAME answer in BOTH sections?

• Section 1

I:3+2   F:6+5   C:8+5   G:7+5   A:7+2   B:6+3   H:8+2   E:5+1   D:2+2

• Section 2

B:7+1   D:6+6   G:3+1   E:6+2   I:4+2   H:9+4   A:5+4   F:8+4   C:7+3 The 7puzzle Challenge

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

The 1st & 6th rows contain the following fourteen numbers:

2   5   9   12   14   15   18   20   22   33   40   49   56   72

Find the highest multiple of 7 on the list. What is double this number? The Factors Challenge

Which FOUR numbers from the following list are factors of 285?

3     5     7     9     11     13     15     17     19 The Mathematically Possible Challenge

Using 27 and 10 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

30    31    32    33    34    35    36    37    38    39

#NumbersIn30s The Target Challenge

Can you arrive at 285 by inserting 2, 3, 4, 5 and 6 into the gaps below?

•  (◯²+◯÷◯)×◯×◯ = 285   