T he Main Challenge
When allocating each letter of the English alphabet a numerical value as follows; A=1 B=2 C=3 … Z=26, the value of the word SUM, for example, would be 19+21+13 = 53.
What would be the value of our popular number puzzle, Mathelona?
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from 2 up to 84.
The 3rd & 5th rows contain the following fourteen numbers:
6 7 13 16 21 25 36 42 45 50 66 80 81 84
Find three pairs of numbers that have a sum that 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 (or 4+1+1+1).
Show how you can make 173, in SEVEN different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 4, 6 and 10 once each, with + – × ÷ available, which THREE target numbers is it possible to make from the list below?
1 8 27 64 125
#CubeNumbers
The Target Challenge
Can you arrive at 173 by inserting 5, 7, 14 and 15 into the gaps on each line?
- (◯×◯)+(◯×◯) = 173
- ◯×(◯+◯)–half◯ = 173
Answers can be found here.
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