Given the original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

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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.

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.

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

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.

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.

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?

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.

Given the cost for 1, 1000, 10000 or 100000 impressions, what is the cost for 1000?

Given potential audience, the percentage that view, and the percentage of these that click, calculate the CPA by dividing potential audience by clickers. 

All numbers randomised.

Given a campaign budget and a CPM, calculate the number of impressions.

Given a total budget and the cost of each sale for three different scenarios, which scenario produces the most sales?

Calculate CTR given number of clicks and number of impressions served.

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

Given budget and number of sales, calculate the cost per acquisition (CPA)

n = 1, 1000, 10000, or 100000.

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

Given Cost per View, and View through rate, what is the cost for 1000 actual views?

Given a campaign budget and a number of impressions, calculate either the Cost per View, or the Cost per 1000 Views.

Given budget and cost per acquistion, how many sales were created?

Substitute a given value into a formula, and substitute an expression in terms of $x$ into a formula.