Sort a list of numbers into "prime" or "composite".

Demonstrates that the marking algorithm for "match text pattern" parts doesn't put quotes around substituted strings any more.

Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.

Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.

Construct a line through two points in a GeoGebra worksheet. Change the line by setting the positions of the two points when the worksheet is embedded into the question.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Substitute the numeric or algebraic definition of a variable into different expressions. 

A random heating question, that randomly picks a material, and then heats it, then plunges it into water. The student must calculate the energy change in the water, and use this to calculate the original temperature of the material. 

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Factorising further basic quadratics into linear factors.

Factorising basic quadratics into linear expressions

Factorising further basic quadratics into linear factors.

Details on inputting numbers into Numbas.

Inputting algebraic expressions into Numbas.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Another example of finding the $x$ and $y$ components when multiple forces are applied at different angles to a particle.

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ direction but the positive $y$. 

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.

Inputting algebraic expressions into Numbas.

Details on inputting numbers into Numbas.

Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.

Factorising further basic quadratics into linear factors.

No description given

Given sentences involving propositions translate into logical expressions.

This question plots a general amplitude modulated carrier signal defined by $v_s(t) = (V_{DC} + V_m \cos(2\pi f_m t))\cos(2\pi f_c t)$, where $V_{DC}$ is a DC offset, $V_m$ is the message amplitude, $f_m$ is the message frequency and $f_c$ is the carrier frequency ($f_c = 20f_m$ in this question). The student must identify the values of $V_{DC}$ and $V_m$ and enter these values into the appropriate gaps in the equation of the AM signal.

Substitute a given value into a formula, and substitute an expression in terms of $x$ into a formula.