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Given a graph of the form either a.cos(bx) or a.sin(bx), identify the amplitude and period.

A normal curve is shown, with the mean and +/- 1, 2 and 3 standard deviations marked. An area of the curve is shaded and students are asked to estimate the shaded area using the heuristic rule. There are 6 possible areas: (-infty, mu-2sd), (mu-2sd, mu-1sd), (mu-1sd,mu), (mu, mu+1sd), (mu+1sd, mu+2sd), (mu+2sd, infty). The mean and standard deviation are randomised.

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Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.

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Find and compare means and standard deviation using EXCEL (downloadable randomised dataset)

Unit circle definition of sin, cos, tan using degrees

Unit circle definition of sin, cos, tan using radians

Solve linear equations with unkowns on both sides. Including brackets and fractions.

This question tests students' ability to use repeated squaring to perform modular exponentiation.  Moduli are random numbers between 30 and 70, the base is a number between 10 and 29.  To generate questions of approximately uniform difficult the exponent is taken to be 256 plus two smaller powers of 2. 

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

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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.

Student needs to solve a quadratic equation to calculate time taken for a diver to hit the water after diving from a diving board. Height of the board and initial upward velocity of the diver are randomly generated values. student needs to know that surface of the water is height 0, and only positive root of quadratic has physical meaning. Question is set to always give one positieve and one negative root.

Multiple choice questions. Given randomised trig functions select the possible ways of writing the domain of the function.

Zet de decimale getallen naar breukvorm om en omgekeerd

Calculate the magnitude of a 3-dimensional vector, where $\mathbf v$ is written in the form $\pmatrix{v_1\\v_2\\v_3}$.

Asks students to find the partil fraction decomposition for a rational function Denominator is a quadratic with distinct factors.

Calculate the marginal and average cost for a given cost function. Find the corresponding startup/shutdown price.
Maximize the profit function at a given price.

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

Given a randomised square root function select the possible ways of writing the domain of the function.