T he Main Challenge
Apart from 987631 (9+8+7+6+3+1), can you find the other FOUR ways you can make 34 when adding together six unique digits from 1-9?
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 2nd & 6th rows contain the following fourteen numbers:
5 8 12 17 18 20 28 33 48 49 55 56 63 64
What is the sum of the multiples of 6?
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every integer can be made by adding up to four square numbers.
For example, 7 can be made by 2²+1²+1²+1² (4+1+1+1).
Show how you can make 146, in NINE different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which are the only THREE numbers it’s 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 146 by inserting 8, 9, 11 and 14 into the gaps on each line?
- (◯+◯)×◯–◯ = 146
- ◯²+◯+◯+√◯ = 146
Answers can be found here.
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