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Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.

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Multiple response question (3 correct out of 6) re properties of convergent and divergent sequences. Selection of questions from a pool.

Multiple response question (4 correct out of 8) covering properties of convergent and divergent sequences and boundedness of sets. Selection of questions from a pool.

Some simple abstract questions on injectivity, surjectivity, bijectivity.

Multiples, factors, lowest common multiples and highest common factors.

Two trains arrive at the same platform with different periods. Compute the LCM of the two periods to find the time they clash.

This is a context question testing the student's ability to identify the lowest common multiple of two integer values which are not multiples of each other. 

Small demo using the JME implementation of JSXGraph inline in a multiple choice question. This version uses a JME variable to store the expressions and then calls a function wherever a plot is required.

Small demo using the JME implementation of JSXGraph inline in a multiple choice question.

Simplify $(ax+b)(cx+d)-(ax+d)(cx+b)$. Answer is a multiple of $x$.

Simplify $(ax+by)(cx+dy)-(ax+dy)(cx+by)$. Answer is a multiple of $xy$.

Rotate the graph of  $y=a\ln(bx)$  by $2\pi$ radians about the $y$-axis between $y=c$ and $y=d$. Find the volume of revolution.

Two multiple choice questions for Tearoom Trade

Multiple response question (3 correct out of 6). Selection of questions from a pool. Adapted from Mario's True/False template.

Standard simple integrals asked for (1/x, sin(x), cos(x), x^2, x, e^x)

Standard derivatives asked for (e.g. $x^n$, $1/x^n$, $\sqrt(x)$, $\ln(x)$, $\sin(x)$, etc.) .  

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Assessment of application of different model selection approaches in multiple regression.

Multiple response question (3 correct out of 6). Selection of questions from a pool. Real data from a YouGov survey.

Multiple choice question. Given a randomised polynomial select the possible ways of writing the domain of the function.

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

Elementary operations on vectors; sum, modulus, unit vector, scalar multiple. 

Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.

Asking users to interpret a minitab output to give the coefficients of a multiple regression together with a prediction based on the subsequent equation.