T he Main Challenge
Can you place the 12 numbers 0 1 2 2 3 3 4 6 6 7 9 and 9 into the 12 gaps below so that all three lines work out arithmetically?
◯ + ◯ = 6 = ◯ – ◯
◯ + ◯ = 18 = ◯ × ◯
◯ + ◯ = 3 = ◯ ÷ ◯
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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 4th & 6th rows contain the following fourteen numbers:
3 5 10 12 18 20 32 33 35 44 49 54 56 60
How many triangular numbers are 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 is only ONE way of making 56 when using Lagrange’s Theorem. Can you find it?
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?
3 6 9 12 15 18 21 24 27 30
#3TimesTable
The Target Challenge
Can you arrive at 56 by inserting 2, 4, 6 and 8 into the gaps on each line?
- ◯×◯+◯×◯ = 56
- ◯²+◯×◯+◯ = 56
- (◯+◯)×◯–◯ = 56
- (◯+◯)×◯–◯⁴ = 56
- ◯×(◯+◯÷◯) = 56
- (◯+◯)×(◯–◯)² = 56
Answers can be found here.
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