Used for LANTITE preparation (Australia). NA = Number & Algebra strand. SP = Statistics & Probability strand. Students read a percentage from the chart, and calculate that percentage of the number of children (randomly generated).

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the number of people that are fed with 200g of rice (randomised), and the total number of people to be fed (randomised). They need to calculate the weight of rice using proportional reasoning.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are not given in the question and must be calculated.

Calculate a repeated integral of the form $\displaystyle I=\int_0^1\;\int_0^{x^{m-1}}mf(x^m+a)dy \;dx$

The $y$ integral is trivial, and the $x$ integral is of the form $g'(x)f'(g(x))$, so it straightforwardly integrates to $f(g(x))$.

Given a generating matrix for a binary linear code, construct a parity check matrix, list all the codewords, list all the words in a given coset, give coset leaders, calculate syndromes for each coset, correct a codeword with one error.

Given two angles and a side-length of a triangle, use the sine rule to calculate an unknown side-length.

Calculate confidence interval for the proportion

Calculate confidence interval for the mean, sample variance n>30

Calculate confidence interval for the mean, sample variance adaptive marking

Given the exchange rate between two currencies, calculate how much of one currency you will get for $x$ amount of the other

Given the exchange rate between two currencies and the bank's commission rate, calculate how much of one currency you will get for $x$ amount of the other

Given the ratio of copper to zinc in brass, calculate how much more copper than zinc is used to create a given amount of brass.

Used for chemistry/materials

Given the ratio of male to female gym members, calculate how many more women than men use the gym

Given x and y, calculate (x-y) as a percentage of y.  Chemistry context.

Given the number of international students enrolled on a course of $n$ students, calculate the percentage of 'home' students.

Calculate one number as percentage of another.

Students are shown an unsorted list of 6 or 7 numbers and asked to calculate the median.

This question asks the student to calculate three points of a given linear function then plot these points in a JSXGraph item and find the x and y intercepts of the line.

Calculate P(A|B) given a Venn diagram.

Calculate P(A|B) given a two way table.

Given a discrete random variable (as a formula) calculate:
E(X), Var, std dev, cumulative distribution and probabilties.

Calculate probability using P(A) = 1-P(not A)

Calculate probability of selecting coloured counters from a bag.

Calculate an intersection probability given a two way table.

Calculate P(A|B) given a two-way table.

Calculate P(A|B) given a venn diagram including P(A) and P(B) and intersection.

Calculate P(A u B) given P(A), P(B) and intersection.

Calculate P(A|B) given P(A), P(B) and intersection.