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aij  notation and definition of the order of a matrix.

Differentiation question with customised feedback to catch some common errors and corresponding partial marks.

malrules

Simple ratio question with custom marking and partial credit possible

The marking checks for some common errors and awards partial credit and appropriate feedback. The errors that give different levels of partial credit include: forgetting to add one to the denominator, forgetting to change to a percentage.

LSD and Tukey yardsticks on three treatments. Also one-way Anova test on same set of data.

Kruskal-Wallis test with ties.

Template question. The student is asked to perform a two factor ANOVA to test the null hypotheses that the measurement does not depend on each of the factors, and that there is no interaction between the factors.

LSD and Tukey yardsticks on five treatments. Also two-way Anova test on same set of data.

Spearman rank correlation calculated. 8 paired observations.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Practical questions

Converting binary number to decimal.

Given a number evaluate simple power, negative power, to one half.

A box contains $m$ white balls and $n$ black balls. A ball is drawn out of the box at random. What is the probability that the ball is black/white?

Shows how to define variables to stop degenerate examples.

Solve $p - t < \text{or}> q$

Given vectors $\boldsymbol{A,\;B}$, find $\boldsymbol{A\times B}$

Elementary operations on vectors; sum, modulus, unit vector, scalar multiple. 

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

Nuclear Physics lesson self-assesment quiz.

Self-assesment test for holography lesson dveloped in the Stem(4)youth EU project

Solve simple two step linear equations with feedback.

This exam uses a custom theme to provide no feedback about scores to the student.

The idea is to provide a version of the test compiled with this theme to the students as they attempt it. Once the test has closed, update with a version of the same test compiled with the default theme, so students can go back in and get feedback.

Three examples of determinant of 2x2 matrices.

Three examples of determinant of 2x2 matrices.

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.

Calculate relative frequencies in a variety of scenarios.

Find the first four non-zero terms in the Maclaurin series for $e^{ax}$.

Find the first three non-zero terms in the Maclaurin series for $\cos(x)$.