Ann Smith

Practice with adding, subtracting and dividing basic algebraic fractions

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

The custom function rectangle(width,height) draws a rectangle with the given dimensions, along with some labels.

Using Pythagoras' Theorem to find a missing side. Illustrated using simple Eukleides diagram

rebelmaths

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Basic indefinite integrals, Basic definite integrals, integration by substitution

Missing: Area type question, solving diff eq application

Find roots and the area under a parabola

Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

The simplest case. Divisor is single digit. There is no remainder. 

Find moment of inertia of a shape which requires the use of the parallel axis theorem for a semicircle.

The simplest case. Divisor is single digit. There is no remainder. 

Solve a quadratic equation by completing the square. The roots are not pretty!

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Questions involving various techniques for rearranging and solving quadratic expressions and equations