DAY 236:

The Main Challenge

Study the seven clues below and place the numbers 1-9 into the nine positions of the grid. Each number should appear exactly once.

x              x              x

x              x              x

x              x              x

Clues:

  1.  The 6 is higher than the 7, but lower than the 3,
  2.  The 3 is further right than the 9,
  3.  The 9 is directly above the 2,
  4.  The 2 is directly right of the 5,
  5.  The 5 is higher than the 1,
  6.  The 1 is directly left of the 4,
  7.  The 4 is further right than the 7.

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 & 6th rows of the playing board contain the following fourteen numbers:

5   12   13   18   20   25   33   36   42   45   49   56   66   80

What is the 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).

There are SIX different ways to make 236 when using Lagrange’s Theorem. How many of them can you find?

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 25 and 10 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

3    6    9    12    15    18    21    24    27    30

#3TimesTable

The Target Challenge

Can you arrive at 236 in two different ways when inserting 1, 2, 3, 4 and 5 into the gaps below?

  •  (◯+◯)³+◯×(◯+◯) = 236

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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