The Main Challenge
This is similar in style to the challenges found at our popular Mathelona number puzzle pocket book. Click the link for more details.
◯ + ◯ = ◯
◯ + ◯ = ◯
◯ + ◯ = ◯
Can you insert 0 0 1 1 2 3 3 4 and 4 into the nine gaps above so that all three lines work out arithmetically?
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
List THREE sets of three different numbers, each having a sum 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).
Show how you can make 194, in ELEVEN different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 3, 4 and 12 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
1 4 9 16 25 36 49 64 81 100
#SquareNumbers
The Target Challenge
Can you arrive at 194 by inserting 6, 8, 10 and 12 into the gaps on each line?
- (◯+◯)×◯–◯ = 194
- double(◯×◯)+√(◯–◯) = 194
Answers can be found here.
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