• 1.

  draft
  Solve $\displaystyle ax + b =\frac{f}{g}( cx + d)$ for $x$. A video is included in Show steps which goes through a similar example.
• 2.

  draft
  Expand $(ax+b)(cx+d)$.
• 3.

  draft
• 4.

  draft
  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.
• 5.

  draft
• 6.

  Ready to use
  Finding the value of a variable
• 7.

  Ready to use
  Solve for $x$ and $y$:   $$\begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray}$$ The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.
• 8.

  Has some problems
  Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$. Entering the correct roots in any order is marked as correct. However, entering one correct and the other incorrect gives feedback stating that both are incorrect.
• 9.

  Ready to use
  Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$
• 10.

  Ready to use
  What is the value of the expression given a choice of n?
• 11.

  draft
  Topics covered are calculating the mean, median, mode, range, and standard deviation.
• 12.

  draft
  Application of the binomial distribution given probabilities of success of an event. Finding probabilities using the binomial distribution.
• 13.

  Ready to use
  Simple probability question. Counting number of occurrences of an event in a sample space with given size and finding the probability of the event.
• 14.

  draft
• 15.

  draft
  Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.
• 16.

  draft
  Choosing whether given random variables are qualitiative or quantitative.
• 17.

  draft
  Finding the coordinates and determining the nature of the stationary points on a polynomial function
• 18.

  draft
  Given a table of the number of days in which sales were between £x1000 and £(x+1)1000 find the relative percentage frequencies of these volume of sales.
• 19.

  draft
• 20.

  draft
  Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.
• 21.

  draft
  Given descriptions of  3 random variables, decide whether or not each is from a Poisson or Binomial distribution.
• 22.

  Ready to use
  Application of the binomial distribution given probabilities of success of an event. Finding probabilities using the binomial distribution.
• 23.

  draft
  Application of the Poisson distribution given expected number of events per interval. Finding probabilities using the Poisson distribution.
• 24.

  Ready to use
  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. 
• 25.

  Ready to use
  Exercise using a given uniform distribution $X$, calculating the expectation and variance. Also finding $P(X \le a)$ for a given value $a$.
• 26.

  draft
  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.
• 27.

  Ready to use
  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.
• 28.

  draft
  Find a regression equation given 12 months data on temperature and sales of a drink. 
• 29.

  draft
  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.
• 30.

  draft
  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.
• 31.

  draft
  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.

There are no questions in this group.