T he Main Challenge
Using the three numbers 5, 5 and 5 once each, with + – × ÷ available, which SEVEN target numbers from 1-30 are mathematically possible to achieve?
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 & 7th rows contain the following fourteen numbers:
3 4 10 11 24 27 30 32 35 44 54 60 70 77
Which four different numbers 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 78 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 2, 3 and 11 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
3 6 9 12 15 18 21 24 27 30
#3TimesTable
The Target Challenge
Can you arrive at 78 by inserting 2, 4, 5 and 8 into the gaps on each line?
- ◯×◯×◯–√◯ = 78
- (◯+◯)×(◯+◯) = 78
- (◯²–◯)×◯+◯ = 78
Answers can be found here.
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