T he Main Challenge
Using the numbers 5, 5 and 10 once each, with + – × ÷ available, list the NINE target numbers from 1-30 that are mathematically possible to achieve.
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 & 7th rows of the playing board contain the following fourteen numbers:
4 6 7 11 16 21 24 27 30 50 70 77 81 84
Which four different numbers have a sum of 100?
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 ELEVEN different ways to make 245 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 2, 5 and 10 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?
15 30 45 60 75 90 105 120 135 150
#15TimesTable
The Target Challenge
Can you arrive at 245 by inserting 1, 2, 3, 4 and 5 into the gaps below?
- (◯+◯)²×◯×(◯–◯) = 245
Answers can be found here.
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