Harry Flynn

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.

Drag points on a JSXgraph plot to sketch solution

Sales Bar Chart

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.

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Widget Sales

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Rounding practice to given decimal places and significant figures.

Counting the number of significant figures and rounding integers and decimals.

Round numbers to a given number of significant figures.

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Converting Radians to Degrees

rebelmaths

Converting Degrees to Radians

rebelmaths

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Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

A variety of trigonometric equations which can be solved using inverse operations.

Finding unknown sides/angles in right-angled triangles.

Version 1: b,c known

Version 2: a,x known

Version 3: a,y known

Version 4: b,x known

Version 5: b,a known

Version 6: c,a known

Sample of size $24$ is given in a table. Find sample mean, sample standard deviation, sample median and the interquartile range.

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

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

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

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

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.

Three questions on parametric hypothesis testing and confidence intervals, aimed at psychology students.

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 standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

A collection of questions to show off at a workshop for the North East and Yorkshire sigma hub, June 2016.

Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.