The Main Challenge
Can you arrive at the target answer of 24 by using each of the four numbers 1, 7, 13 and 13 exactly once each, and with + – × ÷ available?
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
Which three different numbers from the list, when added together, make a total of 77?
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 only ONE way of making 24 when using Lagrange’s Theorem. Can you find it?
The Mathematically Possible Challenge
Using 5, 6 and 8 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?
40 41 42 43 44 45 46 47 48 49
#NumbersIn40s
The Target Challenge
Can you arrive at 24 by inserting 2, 3, 6 and 8 into the gaps on each line?
- ◯×◯+◯–◯ = 24
- (◯–◯)²×◯×◯ = 24
- (◯+◯)×◯–◯ = 24
Answers can be found here.
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