Calculate the marginal and average cost for a given cost function. Find the corresponding startup/shutdown price.
Maximize the profit function at a given price.

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

Convert numbers greater than 1 into standard form/scientific notation.

Find the equation of the line that passes through given points

Given a randomised square root function select the possible ways of writing the domain of the function.

Extra practice on some basic algebra skills, including solving linear equations. You can try as many times as you like and also generate new versions of the questions for extra practice.

Decide whether statements about square and cube numbers are always true, sometimes true or never true.

German translation of https://numbas.mathcentre.ac.uk/question/22768/always-sometimes-or-never-square-and-cube-numbers/ von Stanislav Duris.

Schreibe $\displaystyle \frac{a} {b + \frac{c}{d}}$ als einen gekürzten Bruch $\displaystyle \frac{p}{q}$ mit ganzen Zahlen $p$ und $q$.

Angepasste, übersetzte und erweiterte Version von https://numbas.mathcentre.ac.uk/question/11701/simplifying-fractions/ von Newcastle University Mathematics and Statistics.

Some questions for our open day, to give students a first taste of Numbas.

The student is given the equations of a line and a circle, and has to find the coordinates of the points of intersection. They're always at integer coordinates.

Expand $(az^2+bz+c)(pz+q)$.

The student is shown a set of axes with three lines. They must move the lines so they match the given inequalities, then move a point inside the region satisfied by the inequalities.

This is a copy of a question from the Numbas demos project, with references to the editor removed.

The student is shown a plot of a mystery function. They can enter values of $x$ check, within the bounds of the plot.

They're asked to give the formula for the function, and then asked for its value at a very large value of $x$.

A plot of the student's function updates automatically as they type. Adaptive marking is used for the final part to award credit if the student gives the right value for their incorrect function.

Solving a system of simultaneous congruences using the Chinese Remainder Theorem.

An explore mode question which allows you to write a solution straight away, or break it down into steps.

After solving a system of three congruences, you can ask for a new problem with more congruences.

Solve a problem using a linear equation.

Finding the current in a simple series RL circuit.

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A summary of the fourth week of material.

A summary of the first four weeks of material.

A summary of the first week of material.

Demo assignment for MA140

Unit 1: Sequences and Functions

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This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

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This exam test students understanding of determinants and inverses of 3x3 matrices.

This exam looks at the determinatns and inverses of 2x2 matrices

Cofactors Determinant and inverse of a 3x3 matrix.