DAY 56:

Today’s Challenge

Replace the 12 ◯’s below with the 12 numbers 0, 1, 2, 2, 3, 3, 4, 6, 6, 7, 9 and 9 so that all three lines work out arithmetically:

◯  +  ◯   =     6     =   ◯  –  ◯
◯  +  ◯   =    18    =   ◯  ×  ◯
◯  +  ◯    =    3     =   ◯  ÷  ◯

If you enjoyed trying this puzzle, visit our MATHELONA page for further details.

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 4th & 6th rows contain the following fourteen numbers:

3   5   10   12   18   20   32   33   35   44   49   54   56   60

How many triangular numbers are listed above?

Make 56 Challenge

Can you arrive at 56 by inserting 2, 4, 6 and 8 into the gaps on each line?

  •  ◯×◯+◯×◯ = 56
  •  ◯²+×◯+ = 56
  •  (◯+)×◯–◯ = 56
  •  (◯+)×◯–◯⁴ = 56
  •  ◯×(◯+◯÷◯) = 56
  •  (◯+◯)×(◯–◯)² = 56

Answers can be found here.

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