DAY 147:

The Main Challenge

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=1 and T+W+O=2 and so on, but what is the biggest number it will make before it stops working?  An amazing number trick; 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 of the playing board 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 SEVEN different ways, when using Lagrange’s Theorem.

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

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

#10TimesTable

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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