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5 questions which introduce the student to the Numbas system.

rebelmaths

Basic solving of linear equations

Basic solving of linear equations

Basic solving of linear equations

Questions to test if the student knows the inverse of an odd power (and how to solve equations that contain a single power that is odd). 

Given vectors $\boldsymbol{A,\;B}$, find $\boldsymbol{A\times B}$

multiple choice testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees

Uses JSXGraph to generate a plot for a cubic, with given critical points, along with three other incorrect graphs with modified properties. JSXGraph code is commented.

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).

Quadratic factorisation that does not rely upon pattern matching.

rebelmaths

6 questions on standard statistical distributions.

Binomial, Poisson, Normal, Uniform, Exponential.

Rolling a pair of dice. Find probability that at least one die shows a given number.

Practice questions on these topics.

One question on determining whether statements are propositions.

Four questions about truth tables for various logical expressions.

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.

This question aims to test understanding and ability to use the laws of indices.

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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.

Multiplication of $2 \times 2$ matrices.

Elementary Exercises in multiplying matrices. 

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

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.