T he Main Challenge
In our latest Mathelona challenge, can you place the 12 listed numbers into the 12 gaps so all three lines work out arithmetically?
0 1 1 2 2 3 4 5 6 7 8 9
◯ + ◯ = 1 = ◯ – ◯
◯ + ◯ = 12 = ◯ × ◯
◯ + ◯ = 3 = ◯ ÷ ◯
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 contain the following fourteen numbers:
3 6 7 10 16 21 32 35 44 50 54 60 81 84
Which two different numbers have a sum of 100?
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 just TWO ways of making 88 when using Lagrange’s Theorem. Can you find them both?
The Mathematically Possible Challenge
Using 2, 3 and 11 once each, with + – × ÷ available, which SIX 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 88 by inserting 1, 4, 8 and 10 into the gaps on each line?
- ◯²–◯×(◯+◯) = 88
- (◯+◯)×◯–√◯ = 88
- (◯+◯)×◯׳√◯ = 88
Answers can be found here.
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