Maximaliseer output bij gegeven kosten

Minimaliseer de kosten bij een gegeven outputvolume

You can enter an equation in 2 or more variables and rearrange it in the following steps. Numbas checks that the lines of working are all equivalent to the original equation. 

You can enter an expression and rearrange it in the following steps. Numbas checks that each arrangement is equivalent to the original expression.

Two functions given in words. Write down the function definition. The numbers in the function definitions are randomised.

Add (a/b).x +/- (c/d) where a,b,c,d are randomised positive integers, and x is a randomised letter.

Factorising a quadratic expression with the $x^2$-term having a coefficient of 1.

Bereken elasticiteiten horend bij een gegeven Stone-Geary nutsfunctie.

Bepaal vraagfuncties vanaf een Stone-Geary nutsfunctie

Bereken prijselasticiteit van de vraag bij een eerstegraadsvraagfunctie

In this question the students have to solve a linear recurrence of order 1. The sequence is asked in recurrence form and the goal is to find its closed form.

In this question the students have to solve a linear recurrence of order 2. The sequence is asked in recurrence form and the goal is to find its closed form.

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

This question assesses the learner's ability of calculating confidence intervals for numerical data and conducting a one-sample t-test.

Randomized input values: sample summary statistics and confidence level.

Adapted from question 7.12 in OpenIntro Statistics (4th ed).

Draws a triangle based on 3 input points. Calculates length, area, perimeter, heights and internal angles

Students are supposed to use Excel (or similar) to find the answers (e.g., enter coordinates of two points then plot and add trendline).

Uses an embedded Geogebra graph of a line $y=mx+c$ with random coefficients set by NUMBAS.

Students seem to freak out when their answer is not written exactly the same as the answer provided. This question tries to enforce that $(x-y)=-(y-x)$ and $\frac{a-b}{c-d}=\frac{b-a}{d-c}$

Multiply two algebraic fractions (unfortunately their appearance doesn't really change) and cancel. 

Fractions don't have a common denominator. Need to find one. Addition and subtraction 50:50 split.

Fractions already have a common denominator. Addition and subtraction 50:50 split. Students shouldn't have to worry about reducing fractions by design.

A whole number divided by a very simple algebraic fraction. No cancelling is required by design.

A very simple algebraic fraction multiplied by a whole number. No cancelling is required by design. 

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