Introduction to Functions, Relations and Graphs

Questions testing rather basic understanding of the index laws.

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

Recovering original function given some information such as derivative and value at some point.

Simple derivatives

A question to practice equation line and finding gradients

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

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.

Introduction to using the product rule

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Converting Radians to Degrees

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Converting Degrees to Radians

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Questions testing rather basic understanding of the index laws.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Questions testing rather basic understanding of the index laws.

Multiplication and adding matrices.

SIT190 - Module 2 - Quiz

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

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

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

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.

Multiplication of $2 \times 2$ matrices.

A question to practice functions, graphs and domains

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.

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

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