DAY 207:

The Main Challenge

When listing the first seven 3-digit numbers that do not contain a 0, 1 or 2 as part of their number, what is the correct total of these seven listed numbers?

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 2nd & 5th rows of the playing board contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

Which two numbers, when each is doubled, become square numbers?

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 207 when using Lagrange’s Theorem. How many can you find?

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 57 and 11 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

12    24    36    48    60    72    84    96    108    120


The Target Challenge

Can you arrive at 207 by inserting 3910 and 11 into the gaps on each line?

  •  (◯×◯–◯)×◯ = 207
  •  (◯²–◯–double◯)×◯ = 207

Answers can be found here.

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