This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

Round random numbers to the closest whole number, 1 to 3 decimals places. Also rounding that could show common misunderstandings.

Converting between metres (m) and centimetres (cm). 

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

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A quadratic is and a graph of it is given. A tangent is also sketched. The equation of the tangent line is asked for.

Q1 is true/false question covering some core facts, notation and basic examples.  Q2 has two functions for which second derivative needs to be determined.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four such questions.

Using BIDMAS rules to solve equations

Points of intersection

Simplifying equations/collecting like terms

Rearranging equations/making x the subject

Solving equations for x

Writing equations

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Multiplication and addition of complex numbers. Four parts.

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.

An applied example of the use of two points on a graph to develop a straight line function, then use the t estimate and predict. MCQ's are also used to develop student understanding of the uses of gradient and intercepts as well as the limitations of prediction.

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An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

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

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Integration by susbtitution. Use the letter C for the constant.

Calculate the local extrema of a function ${f(x) = e^{x/C1}(C2sin(x)-C3cos(x))}$

The graph of f(x) has to be identified.

The first derivative of f(x) has to be calculated. 

The min max points have to be identified using the graph and/or calculated using the first derivative method.  Requires solving trigonometric equation

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Quiz 1

Answer ALL questions. Each question is 1 mark, there are 10 questions in the quiz.