The Main Challenge
In this addition-only Mathelona-style puzzle, place the following 12 numbers into the 12 gaps so that all four lines work out:
1 1 2 3 4 4 5 5 6 8 9 10
◯ + ◯ = ◯
◯ + ◯ = ◯
◯ + ◯ = ◯
◯ + ◯ = ◯
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
From the list, what is the sum of the even numbers?
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 FOUR ways of making 34 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 2, 6 and 11 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
10 20 30 40 50 60 70 80 90 100
#10TimesTable
The Target Challenge
Can you arrive at 34 by inserting 2, 3, 5 and 8 into the gaps on each line?
- ◯×◯+◯×◯ = 34
- ◯×◯–◯×◯ = 34
- (◯–◯)²×◯+◯ = 34
Answers can be found here.
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