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.

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

Fill in a table of powers of 10.

Elementary Exercises in multiplying matrices. 

Shows how to retrieve the student's answer to another part from a custom marking script.

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Implicit differentiation.

Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.

Simple trig equations with radians

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

Based on Chapter 8, quite loosley.Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

FY001 exam extra time

Given a sum of logs, all numbers are integers,

$\log_b(a_1)+\alpha\log_b(a_2)+\beta\log_b(a_3)$ write as $\log_b(a)$ for some fraction $a$.

Also calculate to 3 decimal places $\log_b(a)$. 

Given a randomised rational function select the possible ways of writing the domain of the function.

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. 

MOCK Exam for FY001-2021

A simple situational question about a box of chocolates, asking how many of each type there are, what percentage of the box they represent, the probability of picking one and ratios of different types.

Given the first few terms of an arithmetic sequence, write down its formula, then find a couple of particular terms.

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

Practice using the log rules to add and subtract logarithms

Students are given an exponential equation and asked to evaluate it at two points.

The constants in the exponential are randomised.

Given a randomised rational function select the possible ways of writing the domain of the function.

Exercises in solving simultaneous equations with 2 variables.

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Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

4 questions from a set of 12 on elementary day-to-day advertising mathematics

Given reach and frequency, calculate TARPS. Multiple choice question.

Given Campaign budget and cost per acquisition, calculate the number of sales.

Given a budget and the number of views, calculate the cost per view. All numbers are randomised.