Katy Dobson

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Turning points of a cubic function

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

Apply and combine logarithm laws in a given equation to find the value of $x$.

Convert a variety of numbers from decimal to standard index form.

This question tests the student's understanding of what is and is not a surd, and on their simplification of surds.

Simple Percentages

rebelmaths

 Basics, percentage of an amount, converting to fractions and decimals.

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6 questions which introduce the user to the Numbas system.

Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

Two questions testing the application of the Sine Rule when given two sides and an angle. In this question, the triangle is always acute and one of the given side lengths is opposite the given angle.

Arithmetic operations involving fractions; converting between decimals and fractions; deciding if fractions are equivalent.

Recognising that $(x-a)^2+(y-b)^2=r^2$ is a circle of radius $r$ with centre $(a,b)$ 

Power rule

Product rule

Quotient rule

Product rule

Slope of a curve at a point

Power rule

Power rule

Rate of change problem involving velocity & acceleration

Chain rule

This quiz asks questions on basic techniques of differentation and some introductory applications.

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

Testing factorisation of quadratics.