T he Main Challenge
Read the following facts to work out my numerical value:
- I am a single digit number,
- If you add 6 to me I become a 2-digit number,
- I am an odd number,
- I am not a square number,
- I am a factor of 30.
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
What is the difference between the highest prime number and the highest odd 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 SEVEN ways of making 134 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 3, 6 and 10 once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?
9 18 27 36 45 54 63 72 81 90
#9TimesTable
The Target Challenge
Can you arrive at 134 by inserting 2, 3, 5 and 6 into the gaps on each line?
- ◯³+◯×◯÷◯ = 134
- (◯+◯)²+◯²+◯² = 134
Answers can be found here.
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