The Main Challenge
. . . is a Kakuro-type puzzle. As well as 9321 (or 9+3+2+1), there are FIVE other ways of combining and adding together four unique digits from 1-9 to make 15. Can you list those five ways?
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.
The 2nd & 4th rows contain the following fourteen numbers:
3 8 10 17 28 32 35 44 48 54 55 60 63 64
What is the sum of the factors of 60?
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 TWO ways of making 22 when using Lagrange’s Theorem. Can you find both?
The Mathematically Possible Challenge
Using 5, 6 and 8 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
2 3 5 7 11 13 17 19 23 29
#PrimeNumbers
The Target Challenge
Can you arrive at 22 by inserting 3, 4, 5 and 6 into the gaps on each line?
- ◯×◯+◯÷◯ = 22
- ◯×◯+◯–◯ = 22
- ◯²+◯+◯+√◯ = 22
Answers can be found here.
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