The Main Challenge
Apart from 9+5+1, find the SEVEN other ways you can make 15 when combining and adding together three unique digits from 1-9.
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 5th & 7th rows contain the following fourteen numbers:
4 6 7 11 16 21 24 27 30 50 70 77 81 84
Which two pairs of numbers both have a difference of 11?
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 is just ONE way of making 32 when using Lagrange’s Theorem. Can you find it?
The Mathematically Possible Challenge
Using 2, 6 and 11 once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?
8 16 24 32 40 48 56 64 72 80
#8TimesTable
The Target Challenge
Can you arrive at 32 by inserting 2, 4, 7 and 8 into the gaps on each line?
- ◯×◯+◯÷◯ = 32
- ◯×◯÷◯+◯ = 32
- (◯+◯)²÷◯+◯ = 32
Answers can be found here.
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