DAY 219:

The Main Challenge

Read the following facts:

  •  I am a 2-digit number,
  •  both my digits are odd,
  •  the sum of both digits is less than 10,
  •  my 1st digit is smaller than my 2nd digit, and
  •  I am a multiple of 3.

Which number am I?

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

From the list, what is the sum of the multiples of 10?

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).

There are EIGHT different ways to make 219 when using Lagrange’s Theorem. How many can you find?

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 46 and once each, with + – × ÷ available, which are the only TWO numbers it is 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 219 by inserting 349 and 16 into the gaps on each line?

  •  (◯×◯+◯)×◯ = 219
  •  ◯²×◯–(◯+double◯) = 219

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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