Graceful Tree Conjecture Concepts
Interactive Video
•
Mathematics, Science, Education
•
5th - 8th Grade
•
Practice Problem
•
Hard
Aiden Montgomery
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What was the initial problem the teacher tried to solve with the ant structure?
Placing even numbers in a sequence
Ensuring all differences between connected circles are unique
Creating a loop within the structure
Finding the largest possible number
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the graceful tree conjecture primarily concerned with?
Ensuring all circles are the same size
Connecting circles with loops
Having unique differences between connected circles
Using only even numbers
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key requirement for a structure to be considered under the graceful tree conjecture?
It must have loops
It must be a perfect square
It must have no loops
It must have an even number of circles
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the largest even number difference that can be achieved with the numbers 1, 3, 5, 7, and 9?
6
8
4
2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the starfish structure unsolvable?
It is not connected
It has more lines than unique differences
It uses even numbers
It has too many loops
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which structure is always solvable according to the discussion?
A disconnected graph
A looped circle
A starfish
A snake
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the complexity of solving the graceful tree conjecture as the number of circles increases?
It remains the same
It decreases
It becomes easier
It increases
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