Zie gedefinieerde variabelen!

1) Voer de vraag zelf uit als leerling

2) Randomiseer deze vraag. Vervang de concrete getalletjes door willekeurig getrokken variabelen, maar zorg dat de vraagstelling en modeloplossing nog mooi eruit zien.

3) Controleer of de willekeurige getallen altijd even moeilijk zijn, of de randomisatie soms significant moeilijker is. Indien ze moeilijker is, beperk die gevallen bij Variable Testing.

1) Randomiseer een waarde, bijvoorbeeld de prijs, en pas alles aan zodat het automatisch werkt.

Een nuttig commando is precround(...,2) wat een getal op 2 cijfers na de komma afrondt.

2) Randomiseer alle waardes. Het ideaalst lijkt mij het aantal initiële appels, de effectieve prijs per appel, en hoeveel appels je finaal zou kopen. Je kan dit doen door een lijst van goeie opties manueel in te geven, of door automatisch een goeie situatie te selecteren (moeilijker).

Een nuttig commando is gcd(a,b) wat de grootste gemene deler geeft van 2 getallen (voor de middelste kolom in de verhoudingstabel).

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Quadratic factorisation that does not rely upon pattern matching.

One could also use the pattern matching syntax to check automatically; this is programatically harder.

In dieser Aufgabe geht es um Addieren und Subtrahieren von Zufallszahlen

Este examen se usará para evaluar tus bases matemáticas, en base a mi curso homónimo en Khan Academy. Estas bases serán imprescindibles para tu buen desempeño en la materia que te imparto en la Universidad Politécnica Salesiana.

Este examen se usará para evaluar tus bases matemáticas, en base a mi curso homónimo en Khan Academy. Estas bases serán imprescindibles para tu buen desempeño en la materia que te imparto en la Universidad Politécnica Salesiana.

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Resolver una ecuación de 1er grado sin fracciones

Resolver una ecuación de 1er grado sin fracciones

Some questions to show off features of Numbas, linked from the Numbas homepage.

An application of quadratic functions based on the Gladesville Bridge in Sydney, Australia. Student is given an equation representing the arch of the bridge and asked to find the height of the arch and the width of the river. Requires and understanding of the quadratic function and where and how to apply correct formulae.

An application of quadratic functions based on the Gateshead Bridge in the UK city of Newcastle. Student is given an equation representing the arch of the bridge and asked to find the height of the arch and the width of the river. Requires and understanding of the quadratic function and where and how to apply correct formulae.

Student is given a rational function, h(x), with randomised coefficients, and a linear function, k(x), also with randomised coeffieients and asked to find:

1. h(k(x)) or k(h(x)) (randomly selected) for a randomised value of x
2. The domain of h(x) - multiple choice part
3. A general expresion for k(h(x)) or h(k(x)) - opposite combination to first part.

Variables are constrained so that h(x) is not a degenerate form and that when evaluating h(x) denomiator is not 0.

This question gives the student the formula for the charge on a capacitor as a function of time then asks them to find the value of k, the exponential constant given other values and hence write out the formula for the given case. A custom function (in Extensions & scripts) extracts the student's formula and plots it on a JSXGraph object in the question. The student is then asked to evaluate the function at a given point using the plot or other methods. The value of the capacitor (Q_0), time (t) and charge at time t are randomised as is the value at which the formula is to be evaluated.

Calculation of the length and alternative form of the parameteric representation of a curve, involving trigonometric functions.

Curl and divergence of a vector field.  Determine whether the vector field is irrotational or solenoidal.

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.

Solving a separable differential equation that describes the rate of decay of radioactive isotopes over time with a known initial condition to calculate the mass of the isotope after a given time and the time taken for the mass to reach $m$ grams. 

Decay Constant - Radioactivity - Nuclear Power (nuclear-power.com)

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Simple Veriosn of Exam with randomised values

Question Covering AC power and frquency response

Students are asked to rearrane the formula giving the voltage drop across a resistor in terms of emf of battery, resistance of resistor and internal resistance of battery to make the internal resistance the subject. They are then asked to calculate the internal resistance given values for the other variables (randomised).

Basic trigonometry question, students are asked to find the diameter of a circular tunnel given distance from edge of a roadway to centre top of tunnel (randomised) and angle from edge of road to centre top of tunnel (randomised).