T he Main Challenge
Using each of the numbers 0.1, 0.5, 3 and 6 once each, and with the four arithmetical operations available, can you arrive at the target answer of 7 in two different ways?
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 1st & 5th rows contain the following fourteen numbers:
2 6 7 9 14 15 16 21 22 40 50 72 81 84
Which three different numbers have a sum that is also on the list?
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 51 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 8, 9 and 10 once each, with + – × ÷ available, which THREE 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 51 by inserting 4, 5, 6 and 7 into the gaps on each line?
- (◯+◯)×◯+◯ = 51
- ◯²+(◯+◯)÷◯ = 51
- ◯×◯+◯+◯ = 51
- ◯×(◯+√◯)–◯ = 51
- (◯–◯)²×◯+◯ = 51
Answers can be found here.
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