A function which renders the factorisation of a number in LaTeX.

Apply the factor theorem to check which of a list of linear polynomials are factors of another polynomial.

Two masses in a box which is attached to a string. Finding acceleration by modelling the two masses as the whole system. Find forces exerted by the two masses.

6 questions which introduce the user to the Numbas system.

6 questions which introduce the user to the Numbas system.

Test whether a student knows the divergence test of a series, and how to use it. Series include those that the diverence test is inconclusive for. This question could be better in that it could go through the working of determining the limit but I hope to make a separate question which deals with that.

Test whether a student knows the ratio test of a series, and how to use it. Series include those that the ratio test is inconclusive for. This question could be better in that it could go through the working of determining the limit but I hope to make a separate question which deals with that.

A selection of questions which use the "random person" extension to randomise the names of people in the question text.

Some questions which use JSXGraph to create interactive graphics.

This question tests the students ability to use the logarithm equivalence law to make x the subject of a given equation and to check which of a list of logarithmic expressions are equivalent to x.

Finding values which satisfy an inequality.

This test has a mixture of fundamentals questions.  You can use this to see which areas you need to practice.

6 questions which introduce the user to the Numbas system.

Find a regression equation.

Now includes a graph of the regression line and another interactive graph gives users the opportunity to move the regression line around. Could be used for allowing users to experiment with what they think the line should be and see how this compares with the calculated line.

Some impossible-looking questions about quadratic equations which can be solved with a bit of thinking.

Questions to test if the student knows the inverse of fractional power or root (and how to solve equations that contain them). 

6 questions which introduce the user to the Numbas system.

6 questions which introduce the user to the Numbas system.

6 questions which introduce the user to the Numbas system.

Defines a CSS class in the preamble which styles the "Lemma" environment, used in the statement.

Find the solution of $\displaystyle \frac{dy}{dx}=\frac{1+y^2}{a+bx}$ which satisfies $y(1)=c$

rebelmaths

The random variable $X$ has a PDF which involves a parameter $c$. Find the value of $c$. Find the distribution function $F_X(x)$ and $P(a \lt X \lt b)$.

Also find the expectation $\displaystyle \operatorname{E}[X]=\int_{-\infty}^{\infty}xf_X(x)\;dx$.

Given the pdf  $f(x)=\frac{a-bx}{c},\;r \leq x \leq s,\;f(x)=0$ else, find $P(X \gt p)$, $P(X \gt q | X \gt t)$.

Tests the ability to match a quadratic function to a given parabola.

Given a set of curves on axes, generated from a function and its first two derivatives, identify which curve corresponds to which derivative.

Some questions which use JSXGraph to create interactive graphics.

Given a set of curves on axes, generated from a function and its first two derivatives, identify which curve corresponds to which derivative.

3 questions on factorising quadratics. The second question also asks for the roots of the quadratic. The third question involves factorising quartic polynomials but which are quadratics in $x^2$.

Given an oracle function that will output its value given an input, and an interval within which a root exists, find the root to a given precision.

Makes use of a Geogebra applet.

Some questions which use JSXGraph to create interactive graphics.