T he Main Challenge
If you add 1+4, then to that answer add 9, then keep on adding consecutive square numbers to the previous total, what is the first answer you reach that is greater than 200?
(Hint: Square numbers are 1 (1×1), 4 (2×2), 9 (3×3) … and so on.)
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 1st & 4th rows contain the following fourteen numbers:
2 3 9 10 14 15 22 32 35 40 44 54 60 72
What is the sum of the factors of 30 listed above?
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 THREE ways of making 37 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 2, 6 and 11 once each, with + – × ÷ available, which FOUR 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 37 by inserting 1, 3, 5 and 7 into the gaps on each line?
- ◯×◯+◯–◯ = 37
- (◯+◯)×◯+◯ = 37
- (◯+◯)×◯–◯ = 37
- ◯²–◯×(◯–◯) = 37
- ◯²+◯×(◯–◯) = 37
Answers can be found here.
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