DAY 338: The Main Challenge

Here’s a number trail involving 12 arithmetical steps.

• 1/3 of this
• multiply by seven
• +23
• ÷3
• +75%
• +5
• 7
• Find 10% of this
• Square this
• +2
• Double this
• Square root of this 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 4th & 6th columns contain the following fourteen numbers:

3   6   7   20   30   36   40   42   49   54   63   64   72   77

Which two numbers, when 10 is added to them, both become square numbers? The Factors Challenge

Which is the ONLY number below that is a factor of 338?

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

Using 29 and 12 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTable The Target Challenge

Can you arrive at 338 by inserting 2, 3, 4, 6 and 7 into the gaps below?

•  ((◯+◯)³+(◯×◯))÷◯ = 338   