3 questions. Finding the stationary points of functions of 2 variables.

Partial differentiation.

A brief look at all possible factors of a given algebraic expression.

Adapted from 'Factorisation: finding factors' by Ben Brawn.

Finding probabilities from a survey giving a table of data on the alcohol consumption of males. This can be easily adapted to data from other types of surveys.

Finding the acceleration of a particle on an inclined plane which is at an angle to the horizontal. Smooth then with value for coefficient of friction.

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Ball projected vertically within water of a swimming pool. Finding the acceleration, greatest height above the swimming pool floor reached, speed and time. Uses SUVAT equations and $F=ma$.

Finding Cosine and Tangent values for an angle if Sine value is given. 

Finding domain and range of a given function. 

Finding the values which satisfy an inequality containing two linear factors. 

Finding values which satisfy an inequality.

Finding the derivative  of a simple polynomial function.

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

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.

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.

Using differentiation to find the tangent and normal to a line at a given point

What's A, if B% of A is C?

Finding the numerators & denominators of 4 equivalent fractions.

Finding a percentage of an amount.

For example, 20% of 150 = 30

5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

3 questions. One question on limits of standard sequences. Other two on finding least $N$ such that $|a_n-L |\lt 10^{-r},\;\;n \geq N$ where $L$ is limit of $(a_n)$.

3 questions. Finding the stationary points of functions of 2 variables.

Partial differentiation.

A resource for Business students to practise calculating Normal probabilities and finding $Z$-values. 

Implicit differentiation including finding tangents

3 questions. One question on limits of standard sequences. Other two on finding least $N$ such that $|a_n-L |\lt 10^{-r},\;\;n \geq N$ where $L$ is limit of $(a_n)$.

3 questions. Finding the stationary points of functions of 2 variables.

Partial differentiation.

5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

Implicit differentiation including finding tangents

Finding the volumes of basic 3D shapes