Find the equation of a straight line which has a given slope or gradient $m$ and passes through the given point $(a,b)$.

There is a video in Show steps which goes through a similar example.

Given two sets of data, sample mean and sample standard deviation, on performance on the same task, make a decision as to whether or not the mean times differ. Population variance not given, so the t test has to be used in conjunction with the pooled sample standard deviation.

Link to use of t tables and p-values in Show steps.

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.

Provided with information on a sample with sample mean and known population variance, use the z test to either accept or reject a given null hypothesis.

Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

Application of the Poisson distribution given expected number of events per interval.

Finding probabilities using the Poisson distribution.

Question on the exponential distribution involving a time intervals and arrivals application, finding expectation and variance. Also finding the probability that a time interval between arrivals is less than a given period. All parameters and times randomised. 

Exercise using a given uniform distribution $X$, calculating the expectation and variance. Also finding $P(X \le a)$ for a given value $a$.

What is the value of the expression given a choice of n?

Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

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

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

Given descriptions of  3 random variables, decide whether or not each is from a Poisson or Binomial distribution.

Choosing whether given random variables are qualitiative or quantitative.

Given polynomial $f(X)$, $g(X)$ over $\mathbb{Q}$, find polynomials $q(X)$ and $r(X)$ over $\mathbb{Q}$ such that $f(X)=q(X)g(X)+r(X)$ and $\operatorname{deg}r(X) \lt \operatorname{deg}g(X)$.

Modular arithmetic. Find the following numbers modulo the given number $n$. Three examples to do.

Given the first few terms of an arithmetic sequence, write down its formula, then find a couple of particular terms.

Given two distributions, calculate the measures of average and spread and make some decisions based on the results.

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

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

Substitute given values into formulas.

Find the squares, and cubes, of some numbers.

Finally, find a square number between two given limits.

Calculate the interest accrued in a savings account, given the initial balance and annual interest rate.

Given five fractions, identify the one which is not equivalent to the others by reducing to lowest terms.

Given five fractions, identify the odd fraction out. The denominators are mainly two or three digits long.

Round numbers to a given number of significant figures.

Estimate the result of an arithmetic operation by first rounding numbers to given significant figures

Round numbers to a given number of decimal places.

Round some large integers to the a given power of ten.

Given some coordinates, recognise which quadrant a point lies in, or which axis a point lies upon.