Linear combinations of $2 \times 2$ matrices. Three examples.

This question assesses the students ability to find the expected number of times an event occurs given the probability of the event occurring for a single trial and the total number of trials.

Calculate a rate of pay (in pounds per week) given the total pay over a given period of time.

35 simple subtraction questions are given with a 2 minute time limit.

Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$. 

Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$. 

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four such questions.

Multiplication of $2 \times 2$ matrices.

Inverse and division of complex numbers.  Four parts.

Multiplication and addition of complex numbers. Four parts.

Multiplication and addition of complex numbers. Four parts.

Multiplication and addition of complex numbers. Four parts.

Statements about the different kinds of averages where you have to select "always", "sometimes", or "never".

Given the original price of a smartphone and the rate at which it decreases, calculate its price after a given number of months. In the second part, calculate the time remaining until the price goes below a certain point.

Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$. 

Given the original price of a smartphone and the rate at which it decreases, calculate its price after a given number of months. In the second part, calculate the time remaining until the price goes below a certain point.

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

Find the determinant of a $3 \times 3$ matrix.

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

Linear combinations of $2 \times 2$ matrices. Three examples.

Multiplication and addition of complex numbers. Four parts.

Inverse and division of complex numbers.  Four parts.

Paired t-test to see if there is a difference between times take in a task.

Add two numbers. Sometimes one of them is negative.

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

Add two numbers. Sometimes one of them is negative.

Multiplication and addition of complex numbers. Four parts.

Multiplication and addition of complex numbers. Four parts.

Multiplication and addition of complex numbers. Four parts.

Paired t-test to see if there is a difference between times take in a task.