Xiaodan Leng

Customised for the Numbas demo exam

Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function, which allows the student to check their answer against the graph before submitting.

This particular example has a 0 gradient.

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

Get the student to upload their experimental data in a CSV file, then ask them to compute statistics on it.

Find a regression equation given 12 months data on temperature and sales of a drink. Includes an interactive diagram for experimenting with fitting a regression line.

Find a regression equation given 12 months data on temperature and sales of a drink. Includes an interactive diagram for experimenting with fitting a regression line.

rebelmaths

Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

Find a regression equation.

Now includes a graph of the regression line and another interactive graph gives users the opportunity to move the regression line around. Could be used for allowing users to experiment with what they think the line should be and see how this compares with the calculated line.

Also includes an updated SSE to see how the sum of the squares of the residuals varies with the regression line.

Horizontal and vertical shifts and scales of a random cubic spline

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

of a random cubic spline

Compare two savings accounts with different interest rates.

rebelmaths

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

Example showing how to calculate the probability of A or B using the law $p(A \;\textrm{or}\; B)=p(A)+p(B)-p(A\;\textrm{and}\;B)$. 

Easily adapted to other applications.

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Basic introduction to statistics

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Identifying the correct rule to use

Compute the standard error of a sample mean, given the sample size and standard deviation.

Find the modes of two small samples.

Calculate the mean, range, and variance of a small sample.

Find the medians of two sets of data.

More work on differentiation with trigonometric functions