DAY/DYDD 73:

The Main Challenge

As well as 9+4+1, there are SEVEN other ways of making 14 when adding together three unique digits from 1-9.  List these seven combinations.

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

What is the sum of the multiples of 6?

The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are FIVE ways of making 73 when using Lagrange’s Theorem. Can you find them?

The Mathematically Possible Challenge

Using 46 and 12 once each, with + – × ÷ available, which is the ONLY numbers it is possible to make from the list below?

11    22    33    44    55    66    77    88    99    110

#11TimesTable

The Target Challenge

Can you arrive at 73 by inserting 2, 5, 7 and 8 into the gaps on each line?

  •  ◯×◯×◯– = 73
  •  (◯+◯)×◯– = 73
  •  ◯²+×(◯–) = 73

Answers can be found here.

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