The Main Challenge
Today’s task is to arrive at the target number of 7 by using the four numbers 7, 7, 7 and 7 once each. All four arithmetic operations + – × ÷ are available. Can you do it?
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
From this list, what is the sum of the square 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 to make 11 when using Lagrange’s Theorem. Can you find it?
The Mathematically Possible Challenge
Using 4, 5 and 10 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?
2 3 5 7 11 13 17 19 23 29
#PrimeNumbers
The Target Challenge
Can you arrive at 11 by inserting 2, 3, 4 and 5 into the gaps on each line?
- ◯×◯+◯–◯ = 11
- ◯÷◯×◯+◯ = 11
- ◯²–√(◯×(◯+◯)) = 11
Answers can be found here.
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