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.

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

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.

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

English sentences which are propositions are given and the appropriate logical expression chosen for the negation of the sentence.

English sentences which are propositions are given and for each the appropriate proposition  involving quantifiers is to be chosen. 

Write down the lexicographic parity check matrix and generator matrix for a Hamming code, which is the dual of a Simplex code, then determine if a given word is a codeword of the corresponding Simplex code.

Compute tables of Hamming distances in given codes, then determine which codes are equivalent.

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.

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.

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

Given the graph the student enters the equation

Ready to use

Given the graph the student enters the equation

Ready to use

Given the graph the student enters the equation

Ready to use

Given the graph the student enters the equation

Ready to use

Given the graph the student enters the equation

Ready to use

Given the graph the student enters the equation

Ready to use

Given th original formula the student enters the transformed formula

Given the graph the student enters the  formula

Ready to use

Given th original formula the student enters the transformed formula

Ready to use

Given th original formula the student enters the transformed formula

Ready to use

Given the original formula the student enters the transformed formula

Ready to use

Given the original formula the student enters the transformed formula

Ready to use

Given the original formula the student enters the transformed formula.

READY TO USE

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

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included.

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

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.

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.