DAY 193:

The Main Challenge

When playing Mathematically Possible, players must analyse which numbers can (or can’t) be made from the three numbers rolled on their dice.

Full details of our board game can be found at MathPoss.com.

Using the numbers 3, 4 and 6, with + – × ÷ available, which THREE of the following target numbers are NOT mathematically possible to achieve?

1   2   3   5   6   7   8   10   12   13   14   18   21   22   24   27   30

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

What is the difference between the sum of the multiples of 5 and sum of the multiples of 6?

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 193, in EIGHT 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 SIX numbers is it possible to make from the list below?

12    24    36    48    60    72    84    96    108    120

#12TimesTable

The Target Challenge

Can you arrive at 193 by inserting 7, 10, 11 and 13 into the gaps on each line?

  •  ◯×(◯+◯)+◯ = 193
  •  ◯²+◯²+◯+◯ = 193

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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