RevisionDojo

Sequences, Formulae and Proportional Reasoning - MYP Questionbank | RevisionDojo

Practice Sequences, Formulae and Proportional Reasoning 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

A sequence is defined by the rule $u_n = n^2 + n$ . Find the index $n$ of the term that has a value of 12.

Question 2

In the recursive rule $u_n = u_{n-1} + d$ , what does the expression $u_{n-1}$ represent?

Question 3

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 4

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

Question 5

A sequence is generated by the rule $u_{n+1} = 2u_n - 1$ with $u_1 = 2$ . What is the value of the 5th term, $u_5$ ?

Question 6

Variables $x$ and $y$ are in an inverse proportion relationship given by $y = \frac{k}{x}$ , where $k$ is a non-zero constant.

Which of the following statements is true for all valid values of $x$ and $y$ ?

Question 7

An arithmetic sequence has a common difference of $d = -5$ and a first term $u_1 = 100$ . Which of these represents the simplified explicit formula for the $n$ th term?

Question 8

Although a linear sequence $u_n = an + b$ resembles a linear function $f(x) = ax + b$ , we cannot substitute $n = 1.5$ to find a term because sequence indices must be positive integers.

Question 9

A variable $y$ is directly proportional to $x$ . If the graph of this relationship passes through the point $(5, 2)$ , what is the value of $y$ when $x = 1$ ?

Question 10

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?

Type

Difficulty

Question 1

A sequence is defined by the rule $u_n = n^2 + n$ . Find the index $n$ of the term that has a value of 12.

Question 2

In the recursive rule $u_n = u_{n-1} + d$ , what does the expression $u_{n-1}$ represent?

Question 3

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 4

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

Question 5

A sequence is generated by the rule $u_{n+1} = 2u_n - 1$ with $u_1 = 2$ . What is the value of the 5th term, $u_5$ ?

Question 6

Variables $x$ and $y$ are in an inverse proportion relationship given by $y = \frac{k}{x}$ , where $k$ is a non-zero constant.

Which of the following statements is true for all valid values of $x$ and $y$ ?

Question 7

An arithmetic sequence has a common difference of $d = -5$ and a first term $u_1 = 100$ . Which of these represents the simplified explicit formula for the $n$ th term?

Question 8

Although a linear sequence $u_n = an + b$ resembles a linear function $f(x) = ax + b$ , we cannot substitute $n = 1.5$ to find a term because sequence indices must be positive integers.

Question 9

A variable $y$ is directly proportional to $x$ . If the graph of this relationship passes through the point $(5, 2)$ , what is the value of $y$ when $x = 1$ ?

Question 10

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?

Type

Difficulty

Question 1

A sequence is defined by the rule $u_n = n^2 + n$ . Find the index $n$ of the term that has a value of 12.

Question 2

In the recursive rule $u_n = u_{n-1} + d$ , what does the expression $u_{n-1}$ represent?

Question 3

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 4

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

Question 5

A sequence is generated by the rule $u_{n+1} = 2u_n - 1$ with $u_1 = 2$ . What is the value of the 5th term, $u_5$ ?

Question 6

Variables $x$ and $y$ are in an inverse proportion relationship given by $y = \frac{k}{x}$ , where $k$ is a non-zero constant.

Which of the following statements is true for all valid values of $x$ and $y$ ?

Question 7

An arithmetic sequence has a common difference of $d = -5$ and a first term $u_1 = 100$ . Which of these represents the simplified explicit formula for the $n$ th term?

Question 8

Although a linear sequence $u_n = an + b$ resembles a linear function $f(x) = ax + b$ , we cannot substitute $n = 1.5$ to find a term because sequence indices must be positive integers.

Question 9

A variable $y$ is directly proportional to $x$ . If the graph of this relationship passes through the point $(5, 2)$ , what is the value of $y$ when $x = 1$ ?

Question 10

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?

Sequences, Formulae and Proportional Reasoning Questionbank