Asks the student whether a map between two finite sets, given schematically "by arrows" is injective/surjective/bijective.

A weighted coin with given $P(H),\;P(T)$ is tossed 3 times. Let $X$ be the random variable which denotes the longest string of consecutive heads that occur during these tosses. Find the Probability Mass Function (PMF), expectation and variance of $X$.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the total hours of work (randomised) and overtime (randomised) and asked to write an expression for the amount of pay earned.

Student is given two whole numbers to add, they have to give the sum.

The numbers are in the range of -9 to 9.

Application of the Poisson distribution given expected number of events per interval.

Finding probabilities using the Poisson distribution.

Given a table of data, calculate the mean, mode and median, and complete a frequency table.

Compute how many linear maps $\mathbb F_p^n\to \mathbb F_p^m$ exist which take prescribed values on a given set of elements in $\mathbb F_p^n$ (which is linearly dependent).

Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$, find the expectation $E$ and $P(X \gt E)$.

Identifying y=mx+b given two points

Identifying y=mx+b given two points

Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. The y-intercept is given.

Identifying y=mx+b given two points

Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. The y-intercept is given.

Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. 

Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. The y-intercept is given.

Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. The y-intercept is given.

Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. The y-intercept is given.

Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. The y-intercept is given.

Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. The y-intercept is given.

Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. The y-intercept is given.

Solve for $x(t)$, $\displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0$

Identifying y=mx+b given two points

Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. 

Given a graph of a line of the form $y=mx+b$ where $m$ and $b$ are integers, find the equation of the line. 

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.