This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

This is a homework assignment. Students may complete this assignment during a maths lesson with the support from the teacher. 

• Passing mark 60%
• Difficulty level 3 Moderat/Average (C+, B-, B Level).

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

All the answers in this question are equations. In order to mark each equation, Numbas needs to pick some values that satisfy the equation and some that don't, and check that the student's answer agrees with the expected answer.

Any equation with the same solution set as the expected answer will be marked correct.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

Question on drug calculations

Question on drug calculations

Question on drug calculations

Question on drug calculations

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

More work on differentiation with trigonometric functions

Real life problems with differentiation

Finding the stationary points of a cubic with two turning points

Using the chain rule within product rule problems

Using the chain rule with polynomials and negative powers

A basic introduction to differentiation

Solving integration by substitution without help

More difficult trigonometric equations with radians

More difficult trigonometric equations with degrees

Trigonometric equations with radians

Trigonometric equations with degrees

Simple trig equations with radians

Simple trig equations with degrees

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Using the chain rule within product rule problems.

Testing factorisation of quadratics.

Graphing $y=a\log_{b}(x)+c$