Maria Aneiros

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

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

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

A graphical introduction to the concept of even functions a symmery

A graphical introduction to the concept of even functions a symmery

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

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Represent a given probability to a decimal, fraction or percentage.

Calculating the square root of a complex number using De Moivre.

Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a rational function (quadratic over linear)

Simplifying indices.

Simplifying indices.

Substitute given values into formulas.

This exercise will help you solve equations of type ax-b = c.

Calculate the time taken for a certain distance to be travelled given the average speed and the distance travelled.

Small, simple question.

Pythagoras' Theorem and naming sides of right angled triangle

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Draws a triangle based on 3 side lengths.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Draws a triangle based on 3 side lengths.

multiple choice testing sin, cos, tan of  random(30, 45, 60) degrees

Solving quadratic equations using a formula,

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

A simple situational question about a box of chocolates, asking how many of each type there are, what percentage of the box they represent, the probability of picking one and ratios of different types.

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Evaluating a function