Combine your knowledge and logic from all previous levels to crack the final riddle and conquer the library!This game uses concepts like shape properties, equations, prime numbers, and divisibility to create a layered puzzle experience. member, the fun lies in the process of discovery and applying mathematical knowledge in a creative way!
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Question 1 of 4
1. Question
You find yourself in a strange geometric land. Three shapes flit about: a triangle, a square, and a circle. On their sides are inscribed numbers:
Triangle: 3, 4, 5
Circle: 12, 15, 7
Square: 8, 6, 10
These are not ordinary shapes! Their sides can mysteriously change, but the sum of their numbers always remains the same. Can you find a single operation that can transform one shape into another while keeping the sum constant?
CorrectIncorrectHint
Hint: Think about properties of shapes and how their side lengths relate to each other.

Question 2 of 4
2. Question
The shapes lead you to a hidden chamber, where an inscription on the wall reads:
“Solve the equation x^2 + (b1)x + b = 27, where b is a hidden number,
And unlock the path to the next level, filled with wonder.
Can you use the knowledge you gained about shapes and transformations to find the value of b and solve the equation?”
CorrectIncorrectHint
Hint: Recall the sum relationship from the shapes and consider how it might translate into an equation.

Question 3 of 4
3. Question
Solving the equation opens a secret passage. Inside, you find a chest engraved with a cryptic message:
“Decode the message: 7a – 4b = 5
Where a and b are the digits of the first two prime numbers found by multiplying the area of the circle by the perimeter of the square.
Use your skills from the previous levels to decipher the code and reveal the hidden message!
”
CorrectIncorrectHint
Hint: Remember the shapes and their properties to calculate the area and perimeter. Then, consider how primes and multiplication connect to the equation.

Question 4 of 4
4. Question
The decoded message leads you to a vast library. A riddle echoes through the room:
“I am a number, divisible by 3 and 5,
But a perfect square I am not, no matter how you strive.
My first digit is the sum of a triangle’s side,
My second holds the key to the equation’s tide
What number am I, the guardian of this hall?
Find me, and break the final wall.”.
CorrectIncorrectHint
Combine your knowledge and logic from all previous levels to crack the final riddle and conquer the library!