Differentiate $\displaystyle (ax^m+b)^{n}$.

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Finding the coordinates and determining the nature of the stationary points on a polynomial function

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

Calculating gradients - polynomials

Differentiating exponentials and Logs

More work on differentiation with trigonometric functions

Simple derivatives

Rate of change problem involving velocity & acceleration

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$x$ is given and (sin(x),cos(x)) is plotted on a unit circle.  Then the student is asked to determine sin(y) and cos(y), where y is closely related to x (e.g. y=-x, y=180+x, etc.) Also find values and sign of cos/tan/sin(x).

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

Converting Radians to Degrees

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Converting Degrees to Radians

rebelmaths

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Solve a logarithmic equation

Questions testing rather basic understanding of the index laws.

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

Questions testing rather basic understanding of the index laws.

Questions testing rather basic understanding of the index laws.

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

Finding X-Y intercepts for quadratic and cubic equations.

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

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Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Find a regression equation.

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The number of patients arriving at a dentist’s surgery each afternoon follows
a Poisson distribution, with a mean of four patients per hour.
Calculate the probability that in a particular one-hour period

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