day/dydd 227 at

T he Main Challenge

Firstly, allocate each letter of the English alphabet a numerical value as follows: A=1 B=2 C=3 … Z=26.  When the values of the individual letters are added together, calculate the total value of our popular maths card game, FlagMath.

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 1st & 7th rows of the playing board contain the following fourteen numbers:

2   4   9   11   14   15   22   24   27   30   40   70   72   77

What is the sum of the square numbers present on the list?

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

The Mathematically Possible Challenge

Using 24 and once each, with + – × ÷ available, which SEVEN numbers is it possible to make from the list below?

4    8    12    16    20    24    28    32    36    40


The Target Challenge

Can you arrive at 227 by inserting 38, 10 and 15 into the gaps on each line?

  •  (◯+◯)×◯–◯ = 227
  •  (◯+◯)×◯+◯³ = 227 

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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