DAY 8:

Today’s Challenge

The concept behind this challenge is similar to my MATHELONA number puzzles, so please feel free to click the link for details of my popular pocket book of challenges.

Insert the numbers 1-12, once each, into the 12 gaps so that all four lines work out:

◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯

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 3rd & 4th rows of the playing board contain the following fourteen numbers:

3   10   13   25   32   35   36   42   44   45   54   60   66   80

What is the difference between the two square numbers listed?

Make 8 Challenge

Can you arrive at 8 by inserting 1, 2, 4 and 8 into the gaps on each line?

  •  (²×◯²)÷(◯×◯) = 8  (there are 2 ways)
  •  (◯×◯×◯)÷◯² = 8
  •  ◯×◯÷√(◯×◯) = 8
  •  (◯–◯×◯–◯)³ = 8

Answers can be found here.

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

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