T he Main Challenge
In this Kakuro-style question, can you list the ONLY way possible to make 16 when adding together five 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 4th & 5th rows of the playing board contain the following fourteen numbers:
3 6 7 10 16 21 32 35 44 50 54 60 81 84
How many pairs of numbers differ by exactly 10?
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).
Show how you can make 195, in TEN different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 3, 4 and 12 once each, with + – × ÷ available, which TWO numbers is it possible to make from the list below?
1 8 27 64 125
#CubeNumbers
The Target Challenge
Can you arrive at 195 by inserting 5, 8, 13 and 18 into the gaps on each line?
- (◯+◯+◯)×◯ = 195
- (◯+◯–◯)×◯ = 195
Answers can be found here.
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