The Main Challenge
Insert the 12 numbers 1 1 2 2 2 3 5 5 6 7 8 and 8 so that all three lines work out arithmetically:
◯ + ◯ = 6 = ◯ – ◯
◯ + ◯ = 14 = ◯ × ◯
◯ + ◯ = 5 = ◯ ÷ ◯
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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 5th & 6th rows contain the following fourteen numbers:
5 6 7 12 16 18 20 21 33 49 50 56 81 84
What is the difference between the highest and lowest odd numbers?
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 14 when using Lagrange’s Theorem. Can you find it?
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?
4 8 12 16 20 24 28 32 36 40
#4TimesTable
The Target Challenge
Can you arrive at 14 by inserting 2, 4, 5 and 5 into the gaps on each line?
- ◯+◯+◯+√◯ = 14
- ◯²–(◯+◯+◯) = 14
- (◯+◯÷◯)×◯ = 14
Answers can be found here.
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