T he Main Challenge
Place the 12 numbers 1 1 2 2 3 3 4 4 5 6 7 and 8 into the 12 gaps below so all three lines work out:
◯ + ◯ = 5 = ◯ – ◯
◯ + ◯ = 9 = ◯ × ◯
◯ + ◯ = 8 = ◯ ÷ ◯
Can you complete today’s Mathelona challenge?
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from 2 up to 84.
The 4th & 6th rows contain the following fourteen numbers:
3 5 10 12 18 20 32 33 35 44 49 54 56 60
Which four different numbers from the list 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 FOUR ways of making 57 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 1, 6 and 7 once each, with + – × ÷ available, which TWO numbers is it possible to make from the list below?
4 8 12 16 20 24 28 32 36 40
#4TimesTable
The Target Challenge
Can you arrive at 57 by inserting 3, 4, 6 and 11 into the gaps in both lines?
- ◯×◯+◯×◯ = 57
- (◯+◯+√◯)×◯ = 57
Answers can be found here.
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