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.

This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.

The shapes are: a rectangle, a parallelogram, a right-angled triangle, and a trapezium.

Author of gif: Picknick
https://commons.wikimedia.org/wiki/File:Parallelogram_area_animated.gif
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.

See github issue https://github.com/numbas/editor/issues/147

This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.

The shapes are: a rectangle, a parallelogram, a right-angled triangle, and a trapezium.

Author of gif: Picknick
https://commons.wikimedia.org/wiki/File:Parallelogram_area_animated.gif
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.

Given the first few terms of an arithmetic sequence, write down its formula, then find a couple of particular terms.

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Solving quadratic equations using a formula,

Question assessing the students understanding of linear sequences.

Students are assessed on their ability to find the common difference and first term in a linear sequence and then find the nth term of the sequence using the arithmetic formula.

A graphical approach to aiding students in writing down a formal proof of discontinuity of a function at a given point.

Uses JSXgraph to sketch the graphs and involves some interaction/experimentation by students in finding appropriate intervals.

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

Quiz covering basic arithmetic with complex numbers, solving a quadratic with complex solutions and converting to/from polar and rectangular forms.

Quiz covering basic arithmetic with complex numbers, solving a quadratic with complex solutions and converting to/from polar and rectangular forms.

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

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.

Solving quadratic equations using a formula,

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

No description given

No description given

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

Laplace from tables: e^(at), cos(bt), sin(bt).

rebelmaths

Laplace from tables: e^(at), cos(bt), sin(bt).

rebelmaths

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Metals - form of supply

Metals - form of supply

One-way ANOVA example

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.