A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

Finding X-Y intercepts for quadratic and cubic equations.

Find a regression equation.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

Parametric form of a curve, cartesian points, tangent vector, and speed.

Intersection points, tangent vectors, angles between pairs of curves, given in parametric form.

Directional derivative of a scalar field.

Gradient of $f(x,y,z)$.

Should warn that multiplied terms need * to denote multiplication.

Students are given a positive whole number less than one hundred and are asked to find either 1/10, 1/100 or 1/1000 of it.

Using Pythagoras' Theorem to find a missing side. Illustrated using simple Eukleides diagram

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Find a regression equation.

Finding composite functions of a quadratic function and a logarithmic function.

This question asks students to find a spanning tree for simple undirected graphs.

Finding the confidence interval at either 90%, 95% or 99% for the population variance of a sample. $\chi^2$ tables are used. A single scenario is given.

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find positive powers of the complex numbers.

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Find the derivative of a function of the form $y=ax^b$ using a table of derivatives.

Given a generating matrix for a linear code, give a parity check matrix

Rolling a pair of dice. Find probability that at least one die shows a given number.

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.

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A right-angled triangle is displayed either pointing left or right with one of the other angles and one of the sides given. Use SOH CAH TOA to find the side indicated with an x.

Find the reactions of a rigid body (a triangular plate) at a pin and roller.  The load is at an angle.

Find the tensions is a system of cables supporting two loads.

Find a regression equation.

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