Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

A question to test understanding of set cardinality and intersections when limited information is known about the size of certain sets.

An application of quadratic functions based on the Golden Gate Bridge in San Francisco, USA. Student is given an equation representing the suspension cable of the bridge and asked to find the width between the towers and the minimum height of the cable above the roadway. Requires and understanding of the quadratic function and where and how to apply correct formulae.

Convert numbers greater than 1 into standard form/scientific notation.

Decide whether statements about square and cube numbers are always true, sometimes true or never true.

German translation of https://numbas.mathcentre.ac.uk/question/22768/always-sometimes-or-never-square-and-cube-numbers/ von Stanislav Duris.

The student is given the equations of a line and a circle, and has to find the coordinates of the points of intersection. They're always at integer coordinates.

Solving a system of simultaneous congruences using the Chinese Remainder Theorem.

An explore mode question which allows you to write a solution straight away, or break it down into steps.

After solving a system of three congruences, you can ask for a new problem with more congruences.

This exam test students understanding of determinants and inverses of 3x3 matrices.

Exam to test students understanding of matrices multiplied by a scalar.

This question tests if a students understands when matrices are conformable

This question tests understanding of subscript notation for matrices

Find the number of people with heights greater then mean plus two times the standard deviation.

Straightforward solving linear equations question

A simultaneous equations question with integers only

Straightforward solving linear equations question

Straightforward solving linear equations question

A simultaneous equations question with integers only

Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by substitution 2 with parts' by Joshua Boddy.

Find the rectangular (scalar) components of a force for two coordinates systems.

In four parts, the student builds up the definition of a class representing a rectangle. First they write the constructor, then add methods to compute area and perimeter.

In the final part, they must use the methods to write a function which determines if a rectangle's area is larger than its perimeter.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included.

No description given

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.

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.

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.

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)

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).