Practice Graph Theory and Vectors with authentic MYP MYP Extended Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.
In a bipartite graph where one set of vertices is 'Actors' and the other set is 'Movies', an edge exists if an actor appeared in a movie. What does it mean if the Movie-vertex 'The Great Gatsby' has a degree of ?
Solve the following vector equation for and :
Calculate the magnitude of the vector , giving the answer correct to three significant figures.
A delivery driver starts at vertex , visits vertices , , and in order, and then returns to vertex . No vertex is repeated, except for the start and end vertex. Which specific term describes this route?
In a parallelogram , the position vectors of three vertices relative to an origin are , , and . Find the position vector of the fourth vertex, .
If , , and the angle between the two vectors is , calculate the dot product .
Given the vectors and , find the vector .
A connected graph contains at least one vertex with a degree of . Which of the following statements about must be true?
Let and be non-zero and non-parallel vectors. Which of the following statements about the vectors and is always true?
In a connected graph with vertices, the existence of an articulation point (cut vertex) makes a Hamiltonian cycle impossible. Why is this the case?
Practice Graph Theory and Vectors with authentic MYP MYP Extended Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.
In a bipartite graph where one set of vertices is 'Actors' and the other set is 'Movies', an edge exists if an actor appeared in a movie. What does it mean if the Movie-vertex 'The Great Gatsby' has a degree of ?
Solve the following vector equation for and :
Calculate the magnitude of the vector , giving the answer correct to three significant figures.
A delivery driver starts at vertex , visits vertices , , and in order, and then returns to vertex . No vertex is repeated, except for the start and end vertex. Which specific term describes this route?
In a parallelogram , the position vectors of three vertices relative to an origin are , , and . Find the position vector of the fourth vertex, .
If , , and the angle between the two vectors is , calculate the dot product .
Given the vectors and , find the vector .
A connected graph contains at least one vertex with a degree of . Which of the following statements about must be true?
Let and be non-zero and non-parallel vectors. Which of the following statements about the vectors and is always true?
In a connected graph with vertices, the existence of an articulation point (cut vertex) makes a Hamiltonian cycle impossible. Why is this the case?