T he Main Challenge
As well as 9+4+1, there are SEVEN other ways of making 14 when adding together three unique digits from 1-9. List these seven combinations.
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 1st & 6th rows contain the following fourteen numbers:
2 5 9 12 14 15 18 20 22 33 40 49 56 72
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 FIVE ways of making 73 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 4, 6 and 12 once each, with + – × ÷ available, which is the ONLY numbers it is possible to make from the list below?
11 22 33 44 55 66 77 88 99 110
#11TimesTable
The Target Challenge
Can you arrive at 73 by inserting 2, 5, 7 and 8 into the gaps on each line?
- ◯×◯×◯–◯ = 73
- (◯+◯)×◯–◯ = 73
- ◯²+◯×(◯–◯) = 73
Answers can be found here.
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