The Main Challenge
What is the sum of the 50 integers (or whole numbers) from 1 through to 50 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 1st & 7th rows contain the following fourteen numbers:
2 4 9 11 14 15 22 24 27 30 40 70 72 77
What is the sum of the factors of 24 listed above?
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 only TWO ways of making 16 when using Lagrange’s Theorem. Can you find both?
The Mathematically Possible Challenge
Using 5, 6 and 8 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 16 by inserting 3, 4, 6 and 8 into the gaps on each line?
- ◯×◯×◯÷◯ = 16
- ◯²–◯×(◯–◯) = 16
- ◯÷◯׳√◯×◯ = 16
Answers can be found here.
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