The Main Challenge
When listing the first seven whole numbers, above 20, that are not multiples of 3, 5 or 7 or do not contain a 3, 5 or 7 as part of their number, what is the 7th number in your list?
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 3rd & 6th rows contain the following fourteen numbers:
5 12 13 18 20 25 33 36 42 45 49 56 66 80
Can you find FIVE groups of three different numbers that each total 99?
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 TWO ways of making 30 when using Lagrange’s Theorem. Can you find them both?
The Mathematically Possible Challenge
Using 2, 6 and 11 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
6 12 18 24 30 36 42 48 54 60
#6TimesTable
The Target Challenge
Can you arrive at 30 by inserting 2, 3, 5 and 10 into the gaps on each line?
- ◯²+◯–(◯+◯) = 30
- ◯×√(◯×◯×◯) = 30
- (◯²+◯)×◯÷◯ = 30
Answers can be found here.
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