Turning points of a cubic function

Rate of change problem involving velocity & acceleration

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Determine the resultant of three random 2-D vectors.  

Indefinite Integrals

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rebelmaths

Testing whether students know how to use multiple log laws.

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Find the tension in a rope necessary to prevent a bracket from rotating by applying $\Sigma M = 0$.

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

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

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

Given three vectors with integer components, find the corresponding magnitude and direction.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant.

Replace two parallel forces with an equivalent single force

Indefinite Integrals

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rebelmaths

Simple Indefinite Integrals

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Simple Indefinite Integrals

Simple Indefinite Integrals

Using the reduction formulas for products of powers or sin and cosine

Solve a random oblique triangle for sides and angles.

Solve a random oblique triangle for sides and angles.

Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

Uses JSXGraph to generate a plot for a cubic, with given critical points, along with three other incorrect graphs with modified properties. JSXGraph code is commented.

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.

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.

This question tests the student's knowledge of the remainder theorem and the ways in which it can be applied.

Use a given factor of a polynomial to find the full factorisation of the polynomial through long division.