Calculate the time taken for a certain distance to be travelled given the average speed and the distance travelled.

Small, simple question.

Calculate a speed in m/s given distance and time taken, then convert that to km/hour

Multiplication and division of upper and lower bounds.

Calculate a speed in m/s given distance and time taken, then convert that to km/hour

Convert a height given in feet and inches into cm and then metres.

This question assesses the student's ability to use some given information involving two different units of measurement to rewrite the information as a compound measure.

Given the cost of hiring a room for a given number of hours, compare with competing prices given per hour and per minute.

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

Given a number evaluate simple power, negative power, to one half.

Display a fraction, given as a numerator and a denominator, as a mixed fraction when appropriate.

Two questions testing the application of the Sine Rule when given two angles and a side. In this question the triangle is obtuse. In one question, the two given angles are both acute. In the second, one of the angles is obtuse.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

Two questions testing the application of the Sine Rule when given two angles and a side. In this question, the triangle is always acute.

A quadratic is given and sketched. Based on the sketch, task is to determine the number of solutions to the equation $f(x)=0$.

Practice finding parallel and perpendicular lines to a given line.

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Given vectors $\boldsymbol{A,\;B}$, find $\boldsymbol{A\times B}$

Template question. Seven statements given and student should determine if they are true or false.  It is possible that 1,2,3,4,5 or 6 out of the 7 statements will be true and these are all equally likely.

Given a number evaluate simple power, negative power, to one half.

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Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

A graph of a straight line $f$ is given. Questions include determining values of $f$, of $f$ inverse, and determing the equation of the line.

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

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.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.

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Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires integration by parts.

A graph of an (invertible) cubic is given. The question is to determine values of $f$. Non-calculator. Advice is provided.

A graph (of a cubic) is given. The question is to determine the number of roots.