Resultant force

Resultant vector

Resultant force

Resultant force

Solve two quadratic equations (with real coefficients) in the complex numbers. The solutions have non-zero imaginary part, fractions can appear (but the denominators are rather small).

Eine ganz olle Kamelle ; )

Grichische Antike 1

Archimedische Winkeldreiteilung

Zu Euklid Buch 5, Definition 5

An all-or-nothing marking scheme for a gap-fill part: the student must answer every gap correctly to get all the marks. If any gap is incorrect they get 0 marks for the whole part.

Questions on differentiation from first principles, and continuity and differentiability.

Problem on a closed cylindrical tank having minimum surface area

Another practical application of differentiation

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

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

Widget Sales

Widget Sales

Student is given a set of constraints for a linear program. Asked to enter the constraints as inequalities, and then to identify the optimal solution.

Problem with solving the simultaneous equations gven by the constraints - too unwieldy and not given enough marks for doing so. Best if the point of intersection is given graphically by putting the mouse over the intersection.

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.

Given a population size and data on a test for a condition on that population, use a tabular approach to find the increase in risk after a positive test in which there is a small chance of a false positive i.e. the probability that the test is positive even though  the condition is not present. See Advice for a graphical version.

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

This question uses the technique of allocating zero marks to gaps so that they act as holders of values input by the user but are not assessed. The values so input are then gathered using the code found in the preamble and suitable combinations are assigned as answers to gap fills which are then assessed to see if they meet the requirements of the question. Note that is a gap fill is created, but not addressed in the prompt of the part then it is hidden from the user.

Compute a table of values for a quadratic function. Calculate the slope and intercept of a line.

Widget Sales

Widget Sales

Widget Sales

No description given

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

Horizontal and vertical shifts and scales of a random cubic spline

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