Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Convert from radians to degrees

Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

Inverse and division of complex numbers.  Four parts.

Numbas can now understand and use several different styles of notation for numbers.

This question shows off all the supported styles, both for display in text and in the answers to number entry parts.

Lay out gapfills so the student has to enter either the numerator or denominator of a fraction.

Some custom CSS restyles the matrix input so it looks like a fraction, with input boxes on top and bottom.

Ideally, there should be a fraction input part type, or an option for the number entry part to display a fraction input.

Ferrous Metals

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Find the roots of this bad boy

Asks to determine whether or not 6 statements are propositions or not i.e. we can determine a truth value or not.

One question on determining whether statements are propositions.

Four questions on find truth tables for various logical expressions.

Paired t-test to see if there is a difference between times take in a task.

angle between two vectors

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Add two numbers. Sometimes one of them is negative.

Cramers Rule applied to 3 simultaneous equations

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

Add two numbers. Sometimes one of them is negative.

Adding stuff

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Two-way ANOVA example, 5 subjects, 4 treatments.

Show a list of the factors of a number.

Works by testing each number up to $n$ for divisibility by $n$, so won't do well with really big numbers. Certainly fast enough for numbers up to 4 or 5 digits.

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.

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.

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.

6 questions which introduce the user to the Numbas system.