DAY 194:

The Main Challenge

This is similar in style to the challenges found at our popular Mathelona number puzzle pocket book. Click the link for more details.

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

Can you insert 0, 0, 1, 1, 2, 3, 3, 4 and 4 into the nine gaps above so that all three lines work out arithmetically?

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 4th & 5th rows of the playing board contain the following fourteen numbers:

3   6   7   10   16   21   32   35   44   50   54   60   81   84

List THREE sets of three different numbers, each having a sum of 77.

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).

Show how you can make 194, in TEN different ways, when using Lagrange’s Theorem.

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 34 and 12 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

1    4    9    16    25    36    49    64    81    100

#SquareNumbers

The Target Challenge

Can you arrive at 194 by inserting 6, 8, 10 and 12 into the gaps on each line?

  •  (◯+◯)×◯–◯ = 194
  •  double(◯×◯)+√(◯–◯) = 194

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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