Megan Oliver

Given the number of international students enrolled on a course of $n$ students, calculate the percentage of 'home' students.

Calculate one number as percentage of another.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Find the diagonal or one side of a rectangle using Pythagoras' theorem.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Finding the area of a circle when given the diameter of the circle.

Find the missing angle in a triangle using the fact that the angles add to 180 degrees.

Solving $a\log(x)+\log(b)=\log(c)$ for $x$, where $a$, $b$ and $c$ are positive integers.

Finding $x$ from a logarithmic equation of the form $\log_ax = b$, where $a$ and $b$ are positive integers.

Finding composite functions of 2 linear functions.

Finding the inverse of a function of the form $f(x)=\frac{mx+c}{x+a},\,x\neq-a$.

Determining the range of a function of the form $f = m|x| + a$.

Evaluating a linear function for a given value of $x$.

Solving an equation of the form $a^x=b$ using logarithms to find $x$.

Calculating gradient and finding intercept from a geogebra graph.

Basic calculation from a sum given in Sigma notation.

Factorising a quadratic expression of the form $a^2x^2-b^2$ to $(ax+b)(ax-b)$, using the difference of two squares formula.

Solving a quadratic equation via factorisation (or otherwise) with the $x^2$-term having a coefficient of 1.

Solve linear equations with unkowns on both sides. Including brackets and fractions.

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.

Simple exercise in collecting terms in different powers of \(x\)