Find the original price before a discount by dividing the new price by the percentage discount.

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

Number sequences - find a missing number

Find the volume of a prism with a trapezium as a cross section from a diagram.

Find the volume of a semicylinder from a diagram.

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

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

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

Finding the stationary points of a cubic equation and determining their nature.

Find the derivative of a function of the form $y=a \tan(bx+c)$ using a table of derivatives.

Find the derivative of a function of the form $y=a \sin(bx+c)$ using a table of derivatives.

Find the derivative of a function of the form $y=a \cos(bx+c)$ using a table of derivatives.

Find the derivative of a function of the form $y=ax^b$ using a table of derivatives.

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

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 $f(x)=\frac{mx+c}{x+a},\,x\neq-a$.

Calculating gradient and finding intercept from a geogebra graph.

Find roots and the area under a parabola

Given a random spandrel, find the expressions for the differential elements of area and the coordinates of its centroid needed to determine the location of the centroid by integration. 

Find all forces on a two-part, symmetrical frame supporting a load. 

Find the highest scoring people over a course of days using the MAX, MATCH and INDEX functions

Classic machine problem.  Find the mechanical advantage of a pair of pliers and the force on the hinge pin.

Solving simple linear equations in $\mathbb{Q}$ and $\mathbb{Z}_n$ for $n= 13, \;17$ or $19$.

Given $f(x)=(x+b)^n$. Find the gradient and equation of the chord between $(a,f(a))$ and $(a+h,f(a+h))$ for randomised values of $a$, $b$ and $h$.

In this question the students have to solve a linear recurrence of order 1. The sequence is asked in recurrence form and the goal is to find its closed form.

In this question the students have to solve a linear recurrence of order 2. The sequence is asked in recurrence form and the goal is to find its closed form.

Use Pythagoras' Theorem to find the length of a side on a right-angled triangle.