Draws a triangle based on 3 input points. Calcualtes length, area, perimeter, heights and internal angles

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

One-way ANOVA example

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

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$.

Finally, find all solutions of an equation $\mod b$.

Simple Definite Integrals

Simple Definite Integrals

Simple Definite Integrals

Draws a triangle based on 3 input points. Calcualtes length, area, perimeter, heights and internal angles

Practice Questions for Nursing tests

Practice Questions for Nursing tests

Dosage questions using percentages

Calculating ages based on dates

Solving quadratic equations using a formula,

Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

Algebra:  Quadratic Factorisation (no equation needed)

Simplify algebra expressions

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Question on drug calculations

Defines a CSS class in the preamble which styles the "Lemma" environment, used in the statement.

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.

Drug Calculations

Solve simultaneous equations,

Need to know indices and logarithm

Solve quadratic equations using formula.

This question assesses the knowledge of the formula to calculate the distance between a point and a plane in the 3D space.

Using Jsxgraph to draw the vector field for a differential equation of the form $\frac{dy}{dx}=f(x,y)=1-\sin(y)$, and also by moving the point $(x_0,y_0)$ you can see the solution curves going through that point. 

If you want to modify $f(x,y)$ simply change the definition of  $f(x,y)$ and that of the variable  str in the user defined function testfield in Extensions and scripts. You have to use javascript notation for functions and powers in the definition of $f(x,y)$.

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

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.

Using Jsxgraph to draw the vector field for a differential equation of the form $\frac{dy}{dx}=f(x,y)=\sin(x)-\sin(y)$, and also by moving the point $(x_0,y_0)$ you can see the solution curves going through that point. 

If you want to modify $f(x,y)$ simply change the definition of  $f(x,y)$ and that of the variable  str in the user defined function testfield in Extensions and scripts. You have to use javascript notation for functions and powers in the definition of $f(x,y)$.