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.

No description given

No description given

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 question is designed to give you some practice with cancelling down and multiplying up fractions.

You do not need a calculator for these.

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

All of these can be done without a calculator

Practice with fractions

Example of a universal statement over the integers and its negation

Parts with zero marks now show a tick or cross as appropriate, even though they don't contribute to the total score.

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

Several quadratics are given and students are asked to complete the square.

This question tests a student's ability subtract one fraction from another with different denominators (at least one of them is negative).

This question tests a student's ability to subtract one fraction from another with different denominators.

This question tests a student's ability to add two fractions with different denominators (at least one of them is negative).

This question tests a student's ability to add two fractions with different denominators.

This question tests a student's ability to subtract one fraction from another with the same denominator. There is at least one negative numerator.

This question tests a student's ability to subtract a fraction from another one with the same denominator.

This question tests a student's ability to add two fractions with the same denominator. There is at least one negative numerator.

This question tests a student's ability to add two fractions with the same denominator.

A basic introduction to differentiation

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.

Graphs are given and students are required to match them with their equation.

Graphs are given and students are required to match them with their equation.

Graphs are given and students are required to match them with their equation.

This exam covers 

• laws of indices
• using surds and rationalising the denominator
• expanding brackets
• simplifying expressions
• solving linear inequalities
• finding common factors
• dividing a polynomial with remainders, using algebraic division
• factor theorem
• remainder theorem
• inverse and composite functions

No description given

Applied questions that could be done with modulo arithmetic.

Credits to : Ben Brown.

used under a CC-BY 4.0 licence. https://creativecommons.org/licenses/by/4.0/

Given sequences with missing terms, find the common difference between terms.

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.

Working with BODMAS