Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non Calculator. The start time for Period 1 (randomised) and the end time for Period 2 (randomised) are given, and students are asked to find the middle of those two times. 

Out of three options, you need to choose the best pokemon type to use to defeat a given pokemon type.

Info is taken from https://www.eurogamer.net/articles/2018-12-21-pokemon-go-type-chart-effectiveness-weaknesses  

Icons are taken from https://bulbapedia.bulbagarden.net/wiki/Main_Page

Consider a binary tree with $2^n$ nodes.

We give generators for the isomorphisms of the tree: at each non-leaf vertex, swap the branches descending from that node.

• What is the action of a given word?
• Write a word which produces the required isomorphism
• Which generators commute?
• What is the order of each generator?
• Write one of the (non-root) generators in terms of the others.
• Which permutations of the leaves are possible?
• What is the order of the group of isomorphisms?
• What is the order of the quotient group obtained by identifying all the leaves of one branch?

The student is given a number in base 10 and asked to write it in a given base, between 2 and 16. The number has at most 3 digits in the other base.

Until it's possible to derive the expected answer for a part in the marking algorithm (see the issue tracker), this question has "show expected answer" turned off, because it just shows the base 10 number.

Given th 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

Given the original formula the student enters the transformed formula

No description given

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.