Indefinite integration of basic functions.

Simple exercise in collecting terms in different powers of \(x\)

Draws a triangle based on 3 side lengths.
NOT ACCESSIBLE

This question demonstrates how to plot a graph of a function using JSXGraph.

Demonstration of randomisation: many elements in this question are randomised. The names of the products and clients are randomly chosen, as are the prices and order amounts.

This is a Mathematics ability assessment for entry into the Bachelor of Engineering and Technology course at Chisholm Institute. The entire platform has bee developed by Numbas. There are 32 math questions and 6 instruction question regarding how to put answer in the answe rbox. Please practice the 'how to put answer' section first before starting to answer math questions.

You can seek help but it will reduce your marks.

Good luck!

Two questions testing the application of the Sine Rule when given two angles and a side. In this question, the triangle is always acute.

A question testing the application of the Cosine Rule when given two sides and an angle. In this question, the triangle is always obtuse and both of the given side lengths are adjacent to the given angle (which is the obtuse angle).

Add/subtract fractions and reduce to lowest form.

Express $\displaystyle \frac{ax+b}{x + c} \pm  \frac{dx+p}{x + q}$ as an algebraic single fraction over a common denominator. 

Find the equation of a straight line which has a given gradient $m$ and passes through the given point $(a,b)$.

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Test for å løse \(ma=F(t)\) analytisk. Masse og kraft randomiseres.

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Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

Solve for $x$: $\displaystyle ax+b = cx+d$

Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$.

Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$

Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

What is the value of the expression given a choice of n?

Multiplication of  matrices of different sizes.

Cofactors Determinant and inverse of a 3x3 matrix.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Find the determinant of a $3 \times 3$ matrix.

aij  notation and definition of the order of a matrix.

Exercises in multiplying matrices. 

Dealing with expressions in online tests and in Matlab.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.