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Proportion - MYP Questionbank | RevisionDojo

Practice Proportion 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

Fill in the Blank: For a direct non-linear power proportion $y = kx^n$ (with $k > 0$ ), the graph is symmetric about the $y$ -axis and forms a U-shaped curve if the exponent $n$ is ________.

Question 2

Which of the following equations represents a directly proportional relationship between $x$ and $y$ ?

Question 3

Consider the following data for a function $y = f(x)$ :

\begin{array}{|c|c|c|c|} \hline x & 1 & 3 & 5 \\ \hline y & 2 & 6 & 10 \\ \hline \end{array}

What is the value of the gradient (rate of change) for this proportional relationship?

Question 4

If ${y}$ is inversely proportional to ${x}$ , and the value of ${x}$ is divided by $5$ , what is the effect on the value of ${y}$ ?

Question 5

If $y$ is directly proportional to $x$ and $y = 32$ when $x = 4$ , find the value of $x$ when $y = 56$ .

Question 6

In a direct proportion relationship $y = kx$ , what does the constant $k$ represent geometrically on the graph of the function?

Question 7

Which of the following expressions correctly indicates that $y$ is directly proportional to $x$ ?

Question 8

The area $A$ of a square is proportional to the square of its side length $s$ . If the side length is doubled, how does the area change?

Question 9

Which of the following equations describes a relationship where $y$ is linear with respect to $x$ , but is NOT a proportional relationship?

Question 10

If $y$ is inversely proportional to $x$ , then the relationship between $y$ and $\frac{1}{x}$ is:

Type

Difficulty

Question 1

Fill in the Blank: For a direct non-linear power proportion $y = kx^n$ (with $k > 0$ ), the graph is symmetric about the $y$ -axis and forms a U-shaped curve if the exponent $n$ is ________.

Question 2

Which of the following equations represents a directly proportional relationship between $x$ and $y$ ?

Question 3

Consider the following data for a function $y = f(x)$ :

\begin{array}{|c|c|c|c|} \hline x & 1 & 3 & 5 \\ \hline y & 2 & 6 & 10 \\ \hline \end{array}

What is the value of the gradient (rate of change) for this proportional relationship?

Question 4

If ${y}$ is inversely proportional to ${x}$ , and the value of ${x}$ is divided by $5$ , what is the effect on the value of ${y}$ ?

Question 5

If $y$ is directly proportional to $x$ and $y = 32$ when $x = 4$ , find the value of $x$ when $y = 56$ .

Question 6

In a direct proportion relationship $y = kx$ , what does the constant $k$ represent geometrically on the graph of the function?

Question 7

Which of the following expressions correctly indicates that $y$ is directly proportional to $x$ ?

Question 8

The area $A$ of a square is proportional to the square of its side length $s$ . If the side length is doubled, how does the area change?

Question 9

Which of the following equations describes a relationship where $y$ is linear with respect to $x$ , but is NOT a proportional relationship?

Question 10

If $y$ is inversely proportional to $x$ , then the relationship between $y$ and $\frac{1}{x}$ is:

Type

Difficulty

Question 1

Fill in the Blank: For a direct non-linear power proportion $y = kx^n$ (with $k > 0$ ), the graph is symmetric about the $y$ -axis and forms a U-shaped curve if the exponent $n$ is ________.

Question 2

Which of the following equations represents a directly proportional relationship between $x$ and $y$ ?

Question 3

Consider the following data for a function $y = f(x)$ :

\begin{array}{|c|c|c|c|} \hline x & 1 & 3 & 5 \\ \hline y & 2 & 6 & 10 \\ \hline \end{array}

What is the value of the gradient (rate of change) for this proportional relationship?

Question 4

If ${y}$ is inversely proportional to ${x}$ , and the value of ${x}$ is divided by $5$ , what is the effect on the value of ${y}$ ?

Question 5

If $y$ is directly proportional to $x$ and $y = 32$ when $x = 4$ , find the value of $x$ when $y = 56$ .

Question 6

In a direct proportion relationship $y = kx$ , what does the constant $k$ represent geometrically on the graph of the function?

Question 7

Which of the following expressions correctly indicates that $y$ is directly proportional to $x$ ?

Question 8

The area $A$ of a square is proportional to the square of its side length $s$ . If the side length is doubled, how does the area change?

Question 9

Which of the following equations describes a relationship where $y$ is linear with respect to $x$ , but is NOT a proportional relationship?

Question 10

If $y$ is inversely proportional to $x$ , then the relationship between $y$ and $\frac{1}{x}$ is:

Proportion Questionbank