DAY 324:

The Main Challenge

This challenge has been taken from our series of Mathelona number puzzle pocket books.

Can you complete this task so all three lines work out arithmetically when inserting the digits 0 0 1 1 1 2 3 4 5 6 7 and 8 into the 12 gaps below?

◯  +  ◯   =     6     =   ◯  –  ◯
◯  +  ◯   =    15    =   ◯  ×  ◯
◯  +  ◯   =     1     =   ◯  ÷  ◯

Further details of our popular challenges can be found by clicking Mathelona.

As an added challenge,

. . . can you also complete this successfully if the 12 digits to be inserted were 0 1 1 2 3 4 5 6 7 8 8 and 9?

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 2nd & 4th columns of the playing board contain the following fourteen numbers:

2   3   6   10   16   20   33   42   45   48   63   70   72   77

What is the sum of the multiples of 3?

Make 324 Challenge

Can you arrive at 324 by inserting 1, 2, 3, 4 and 5 into the gaps on both lines below?

  •  (◯×◯+◯+◯–◯)² = 324
  •  ◯³×◯×(◯+◯)÷◯ = 324

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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