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T he Main Challenge

Firstly, allocate numerical values to the following fifteen letters in the English alphabet:

E=3  F=9  G=6  H=1  I=4  L=0  N=5  O=7  R=6  S=1  T=2  U=8  V=3  W=7  X=11

You’ll see that O+N+E adds up to 1 and T+W+O=2 and so on, but what is the biggest number it will make before this amazing trick stops working?  A must for you and your kids to try!

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 2nd & 6th rows contain the following fourteen numbers:

5   8   12   17   18   20   28   33   48   49   55   56   63   64

Which number, when halved, is also on the list?

The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (4+1+1+1).

Show how you can make 147, in EIGHT different ways, when using Lagrange’s Theorem.

The Mathematically Possible Challenge

Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?

10    20    30    40    50    60    70    80    90    100


The Target Challenge

Can you arrive at 147 by inserting 2, 4, 7 and 10 into the gaps on each line?

  •  ◯²×(◯+◯)÷◯ = 147
  •  (◯+◯)²+◯–◯ = 147
  •  ◯²+◯²+◯–◯ = 147

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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