Multiple choice questions. Given randomised trig functions select the possible ways of writing the domain of the function.

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Sometimes randomisation creates error with variable: c4

More work on differentiation with fractional coefficients

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Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are asked two true/false questions based on a table of data about the LANTITE test. The pair of true/false questions are randomly selected from a pool of five pairs of questions.

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Factorise $\displaystyle{ax ^ 2 + bx + c}$ into linear factors. 

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Compute tables of Hamming distances in given codes, then determine which codes are equivalent.

Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.

Reading a value from a stacked bar chart.

Reading a value from a simple bar chart.

Simple substitution into an algebraic expression. Includes powers, division, mulitplication, brackets.  Includes subscripts.

One-way ANOVA example

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

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Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$.

A quadratic and a graph of it is given. A tangent is also sketched. The equation of the tangent line is asked for.

Find a regression equation.

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As it says on the tin!

Random terms including powers of x.

Find the inverse of three $2 \times 2$ invertible matrices.

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There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

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Aufgabe zum Chinesischen Wurzelziehen, inspiriert von: Katz, V. J. (2009). A history of mathematics: An introduction (3. ed.). Boston: Addison-Wesley (pp. 199/200).