T he Main Challenge
Start with the number 6, then:
+2 ÷4 +1 ×4 –1 ×5 –16 ×2 –19 +1
÷10 +7 ×4 –16 ÷3 –1 ×5 –8 ×2 +7 = ?
What is the final answer to this 20-step number trail?
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 3rd & 4th rows contain the following fourteen numbers:
3 10 13 25 32 35 36 42 44 45 54 60 66 80
What is the sum of the even 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 are SIX ways of making 115 when using Lagrange’s Theorem. Can you find them all?
The Mathematically Possible Challenge
Using 1, 4 and 9 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
1 3 6 10 15 21 28 36 45
#TriangularNumbers
The Target Challenge
Can you arrive at 115 by inserting 5, 6, 8 and 9 into the gaps on both lines?
- (◯+◯+◯)×◯ = 115
- ◯²+◯×◯+◯ = 115
Answers can be found here.
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