DAY/DYDD 136:

The Main Challenge

Can you arrive at the target number 55 by using the five numbers 1, 2, 3, 4 and 5 exactly once each, and with + – ×  ÷ available?

The 7puzzle Challenge

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

The 5th & 7th rows contain the following fourteen numbers:

4   6   7   11   16   21   24   27   30   50   70   77   81   84

What is the sum of the factors of 42?

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 FOUR ways of making 136 when using Lagrange’s Theorem. Can you find them?

The Mathematically Possible Challenge

Using 36 and 10 once each, with + – × ÷ available, which TWO numbers is it possible to make from the list below?

13    26    39    52    65    78    91    104    117    130

#13TimesTable

The Target Challenge

Can you arrive at 136 by inserting 4, 6, 7 and 8 into the gaps on each line?

  •  (◯×◯–◯)×◯ = 136
  •  (◯+◯+◯)×◯ = 136

Answers can be found here.

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