Coordinate Geometry and Linear Modelling - MYP Questionbank | RevisionDojo

Coordinate Geometry and Linear Modelling - MYP Questionbank | RevisionDojo

Practice Coordinate Geometry and Linear Modelling with authentic MYP MYP Standard 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.

Type

Difficulty

Question 1

If the distance between point $A(1, 2)$ and point $B(4, y)$ is exactly $5$ units, what are the possible values for the $y$ -coordinate?

Question 2

Why does the textbook use biological concepts like predation and mutualism to discuss mathematical generalization?

Question 3

True or False: The midpoint $M$ of a line segment $AB$ is the only point on the infinite line passing through $A$ and $B$ that is equidistant from both endpoints $A$ and $B$ .

Question 4

A line passes through $(2, 10)$ and $(5, 4)$ . Which of the following describes the nature of its gradient?

Question 5

If $M$ is the midpoint of the segment $AB$ , which of the following statements must be true regarding the distances $AM$ and $AB$ ?

Question 6

True or False: Squaring both sides of an equation is an equivalence transformation because it preserves the exact solution set of the original equation.

Question 7

Which of the following terms is defined as an observable regularity that can be found in numbers, shapes, or relationships?

Question 8

The $x$ -intercept of the line given by the point-gradient equation $y - 3 = -2(x - 5)$ is

Question 9

If you use substitution to solve the system below, which equation represents the correct first step after substituting the expression for $x$ into the second equation?

x = 3y - 1

2x + y = 12

Question 10

Consider the following statement regarding statistical modeling:

"A primary reason why extrapolation is considered less reliable than interpolation is that the linear trend observed within the data range may change or reach a physical limit outside that range."

Which of the following is the most accurate evaluation of this statement?

Practice Coordinate Geometry and Linear Modelling with authentic MYP MYP Standard 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.

Type

Difficulty

Question 1

If the distance between point $A(1, 2)$ and point $B(4, y)$ is exactly $5$ units, what are the possible values for the $y$ -coordinate?

Question 2

Why does the textbook use biological concepts like predation and mutualism to discuss mathematical generalization?

Question 3

True or False: The midpoint $M$ of a line segment $AB$ is the only point on the infinite line passing through $A$ and $B$ that is equidistant from both endpoints $A$ and $B$ .

Question 4

A line passes through $(2, 10)$ and $(5, 4)$ . Which of the following describes the nature of its gradient?

Question 5

If $M$ is the midpoint of the segment $AB$ , which of the following statements must be true regarding the distances $AM$ and $AB$ ?

Question 6

True or False: Squaring both sides of an equation is an equivalence transformation because it preserves the exact solution set of the original equation.

Question 7

Which of the following terms is defined as an observable regularity that can be found in numbers, shapes, or relationships?

Question 8

The $x$ -intercept of the line given by the point-gradient equation $y - 3 = -2(x - 5)$ is

Question 9

If you use substitution to solve the system below, which equation represents the correct first step after substituting the expression for $x$ into the second equation?

x = 3y - 1

2x + y = 12

Question 10

Consider the following statement regarding statistical modeling:

"A primary reason why extrapolation is considered less reliable than interpolation is that the linear trend observed within the data range may change or reach a physical limit outside that range."

Which of the following is the most accurate evaluation of this statement?