The Main Challenge
Can you arrive at the target number 105 by using the five numbers 1, 2, 3, 4 and 5 exactly once each, and with + – × ÷ available?
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 3rd & 5th rows contain the following fourteen numbers:
6 7 13 16 21 25 36 42 45 50 66 80 81 84
What is the difference between the highest multiple of 9 and highest multiple of 11?
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 FOUR ways of making 68 when using Lagrange’s Theorem. Can you find them all?
The Mathematically Possible Challenge
Using 4, 6 and 12 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
5 10 15 20 25 30 35 40 45 50
#5TimesTable
The Target Challenge
Can you arrive at 68 by inserting 2, 3, 6 and 8 into the gaps on each line?
- (◯+◯)×◯+◯ = 68
- ◯²×(◯+◯+◯) = 68
- (◯+◯)×◯–◯² = 68
Answers can be found here.
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