Determine if the following describes a probability mass function.

$P(X=x) = \frac{ax+b}{c},\;\;x \in S=\{n_1,\;n_2,\;n_3,\;n_4\}\subset \mathbb{R}$.

multiple choice testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees

Given an oracle function that will output its value given an input: first estimate the derivative, and second calculate its shape.

Show one of several blocks of text depending on the value of a question variable.

As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.

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

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

Given a graph of some function f, the student is asked for values of $f$ and its inverse. Function is cubic and invertible.

Show one of several blocks of text depending on the value of a question variable.

As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.

Given an oracle function that will output its value given an input: first estimate the derivative, and second calculate its shape.

Given an oracle function that will output its value given an input, and an interval within which a root exists, find the root to a given precision.

Makes use of a Geogebra applet.

Given the derivatives of a cubic function at a point, find the value of the function at another point.

Given the derivatives of a cubic function at a point, find the value of the function at another point.

This question asks you to work out one value as a percentage of another.  You are expected to do these without the help of a calculator.

These questions are asking you to use a non-calculator method to work out a percentage amount of a value.

Given a PDF $f(x)$ on the real line with unknown parameter $t$ and three random observations, find log-likelihood and MLE $\hat{t}$ for $t$. 

Given the derivatives of a cubic function at a point, find the value of the function at another point.

Given the derivatives of a cubic function at a point, find the value of the function at another point.

Finding x and y values for straight line graphs

Looking at gradients and values for x and y for straight-line graphs

Completing a table of x and y values from a straight line graph equation.

Calculate the functional value at a point.

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

multiple choice testing sin, cos, tan of  random(pi/6, pi/4, pi/3) radians

(Calculating estimate and actual value of temperature using given formulas, and hence finding the percentage error)

rebelmaths

A 1-year lease for a company car requires a payment of €280 at the end of each month. Find the present value of these payments if the annual interest rate is 7% compounded monthly.

rebelmaths

To provide for retirement an employee deposits R at the end of each month in an account that earns $perc% annual interest compound monthly. What is the future value of the annuity in nyears?

rebelmaths

An investment of €x invested today will give a return of €y in n years time Calculate the net present value (NPV) of the investment given that the discount rate is 3.5% per annum.

rebelmaths

An investment of x invested today will give a return of €y in n1 years time and a further €z n2 years from today. Calculate the net present value (NPV) of the investment given that the discount rate is perc% per annum.

rebelmaths

Simple inequalities - finding values of x

Simple inequalities - finding values of x