DAY 270:

Today’s Challenge

Here’s a crafty MATHELONA challenge where your task is to make all three lines work out arithmetically by replacing the 12 ◯’s with digits from 0 to 5, each digit being inserted exactly twice:

◯  +  ◯   =    0    =   ◯  –  ◯
◯  +  ◯   =    8    =   ◯  ×  ◯
◯  –  ◯   =    2    =   ◯  ÷  ◯

Details of our pocket book challenges can be found by clicking MATHELONA.

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

What is the sum of the multiples of 10?

Make 270 Challenge

Can you arrive at 270 by inserting 3, 5, 6, 9 and 10 into the gaps on each line?

  •  (◯×◯×◯)÷(◯) = 270
  •  (◯+◯+◯)×(◯+◯) = 270
  •  [(◯×◯)–(◯÷◯)]×◯ = 270

Answers can be found here.

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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