T he Main Challenge
If you multiply a certain number by 3 and then add 30, the result is the same as if you firstly added 17 to this particular number and then multiplied by 2.
Which number in the range 1 to 9 must this be?
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 3rd & 7th rows contain the following fourteen numbers:
4 11 13 24 25 27 30 36 42 45 66 70 77 80
What is the product of the lowest number and highest number?
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 47 when using Lagrange’s Theorem. Can you find both?
The Mathematically Possible Challenge
Using 8, 9 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
8 16 24 32 40 48 56 64 72 80
#8TimesTable
The Target Challenge
Can you arrive at 47 by inserting 2, 6, 7 and 10 into the gaps on each line?
- ◯×◯+◯÷◯ = 47
- ◯²–(◯+◯)÷◯ = 47
- (◯+◯)²–(◯+◯) = 47
Answers can be found here.
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