Michael Proudman

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

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Four sinusoidal graphs are given. Student should select the one which is sine and cosine.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

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Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

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A resource for Business students to practise calculating Normal probabilities and finding $Z$-values. 

Given a table of data, calculate the mean, mode and median, and complete a frequency table.

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

Given a table of data, calculate the mean, mode and median, and complete a frequency table.

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

Calculate relative frequencies in a variety of scenarios.

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.

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

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Scores  in 20 games and frequency given -- calculate mean.

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Calculate the Pearson correlation coefficient on paired data and comment on the significance.

Calculate the Pearson correlation coefficient on paired data and comment on the significance.

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Find a regression equation.

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

rebelmaths

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

rebelmaths

Statistics and probability. Questions asking student to calculate and interpret Pearson and Spearman correlation coefficients.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Curl and divergence of a vector field.  Determine whether the vector field is irrotational or solenoidal.

Curl of a vector field.

5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not.