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.

Calculate a percentage of a number.

Find a percentage of a given population. Percentage and population are both randomised.

A proportions question. Given the total number of impressions, and the number of impressions that were clicked, what percentage were clicked?

Read a value from a table. There are 36 possible questions.

Given n = k%, what is 100%?

percentage rate is 0.5, 1, 1.5 or 2%. Number of impressions is randomised.

Given number of TARPs and total price, calculate the Cost per TARP.