T he Main Challenge
When listing the FIVE 3-digit cube numbers, all digits from 1 to 9 are represented, except one. Which digit is missing?
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 & 7th rows contain the following fourteen numbers:
4 8 11 17 24 27 28 30 48 55 63 64 70 77
What is the difference between the two multiples of 9?
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 THREE ways of making 62 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 1, 6 and 7 once each, with + – × ÷ available, which is the ONLY number it is 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 62 by inserting 2, 4, 6 and 9 into the gaps on each line?
- (◯+◯)×◯+◯ = 62
- (◯+◯)×◯–◯ = 62
- (◯+◯)×◯+◯² = 62
Answers can be found here.
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