Calculate: $ a_1 \times a_2 \times a_3 \times a_4 $ and $ \frac{b_1 \times b_2 \times b_3 \times b_4}{b_5 \times b_6} $

Simple word-problem reinforcement of fractions.

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

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.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Divisor is single digit. There is a remainder which we express as a decimal by continuing the long division process. Rounding is required to one decimal place. The working suggests determining the second decimal place so the student knows whether to round up or down.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.

Multiplication of $2 \times 2$ matrices.

A quadratic and a graph of it is given. A tangent is also sketched. The equation of the tangent line is asked for.

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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.