The Main Challenge
Add together the 7th prime number, the 7th square number, the 7th 2-digit number and the 7th whole number that contains a 7. What is your answer?
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
Which two numbers listed have a sum of 101?
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 TWO ways to make 12 when using Lagrange’s Theorem. Can you find both?
The Mathematically Possible Challenge
Using 4, 5 and 10 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?
40 41 42 43 44 45 46 47 48 49
#NumbersIn40s
The Target Challenge
Can you arrive at 12 by inserting 2, 3, 4 and 6 into the gaps on each line?
- (◯–◯)×◯×◯ = 12
- ◯×◯–(◯+◯) = 12
- ◯÷◯×(◯+◯) = 12
- ◯²–◯×◯÷◯ = 12
- (◯²+◯³)×◯÷◯ = 12
Answers can be found here.
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