T he Main Challenge
What is the total of all the square numbers from 1-100 inclusive?
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 6th & 7th rows contain the following fourteen numbers:
4 5 11 12 18 20 24 27 30 33 49 56 70 77
List FIVE sets of three different numbers that all 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 FIVE ways of making 91 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 5, 7 and 10 once each, with + – × ÷ available, which THREE 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 91 by inserting 2, 4, 5 and 9 into the gaps on each line?
- (◯+◯)×(◯+◯) = 91
- ◯³+◯×(◯–◯) = 91
- ◯²×◯×√◯–◯ = 91
Answers can be found here.
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