A mass is resting on a rough plane. Given the angle of the plane and the mass of the object, find the normal reaction force and hence the coefficient of friction.

Find a regression equation given 12 months data on temperature and sales of a drink. 

A mass is resting on a rough plane. Given the angle of the plane and the mass of the object, find the normal reaction force and hence the coefficient of friction.

Expand $(ax+b)(cx+d)$.

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Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

A particle is projected up a rough plane at a given speed. Given the angle of the slope and the coefficient friction, find the distance the particle travels before it comes to instantaneous rest.

A block of given mass is sliding down the plane, with given acceleration. Find the normal reaction force, the coefficient of friction, and the distance travelled before reaching a given speed.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$. This is then used to determine the magnitude of force that must be exceeded to achieve movement when the force is applied horizontally and at two different angles to the horizontal.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$ to determine if the block will move when three different magnitudes of force act on the block horizontally.

A particle is projected up a rough plane at a given speed. Given the angle of the slope and the coefficient friction, find the distance the particle travels before it comes to instantaneous rest.

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.

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

Statistics and probability. Questions asking student to calculate and interpret Pearson and Spearman correlation coefficients.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

More work on differentiation with fractional coefficients

More work on differentiation with fractional coefficients and powers

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