T he Main Challenge
With the four arithmetical operations + – × ÷ available, use all four numbers 1, 1.5, 2 and 6 once each in your attempt to make the target answer of 7.
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 2nd & 4th rows contain the following fourteen numbers:
3 8 10 17 28 32 35 44 48 54 55 60 63 64
What is the sum of the factors of 64?
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 FIVE ways of making 127 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 2, 4 and 12 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
1 3 6 10 15 21 28 36 45 55
#TriangularNumbers
The Target Challenge
Can you arrive at 127 by inserting 4, 7, 8 and 10 into the gaps on each line?
- (◯+◯)×◯+◯ = 127
- ◯²+◯×◯–√◯ = 127
- ◯²+◯+◯+double◯ = 127
Answers can be found here.
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