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$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

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demonstrates bug on geogebra diagram

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 2hrs 30mins (extra time (1)).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

This question aims to test understanding and ability to use the laws of indices.

Interpreting a p-value given the hypothesis.  Common misconceptions. 

Factorising polynomials using the highest common factor

A 'concept test'.  3 multiple choice questions about a graphed normal distribution curve modelling IQ data.

No caculation 'concept test' on confidence intervals.  A single multiple choice question interpreting a CI.

A 'concept test' (no calculations) with 4 multiple-choice parts.

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These questions are designed to help you verify that you can successfully apply the techniques related to maximum-likelihood estimation we have learned in class, e.g., numerical and analytical derivation of estimators, construction of large-sample confidence intervals, and likelihood-ratio tests.

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This question tests students knowledge of basic matrix arithmetic.

Do not use this: adaptive marking is the best way to access the student's answer to another part.

Shows how to retrieve the student's answer to another part from a custom marking script.

This easy question is intended to be used by administrators to test the integration of Numbas with a learning environment.

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To be used for in-course assessment (Problem solving exercises 1) in MAS3801

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testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees but in radians

testing sin, cos, tan of angles that are negative or greater than 2pi radians that result in nice exact values. 

exact value of testing sin, cos, tan of angles that are negative or greater than 360 degrees that result in nice exact values. 

multiple choice testing sin, cos, tan of  random(pi/6, pi/4, pi/3) radians

multiple choice testing csc, sec, cot  of  random(pi/6, pi/4, pi/3) radians

multiple choice testing csc, sec, cot of random(30, 45, 60) degrees