Given th original formula the student enters the transformed formula

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Given th original formula the student enters the transformed formula

Given th original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Given th original formula the student enters the transformed formula

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

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

This exercise will help you round off decimals to given decimal places.

This exercise will help you round off decimals to given decimal places.

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.

Given th original formula the student enters the transformed formula

A mass is hanging from a string, tethered to two points. A horizontal force applied to the mass holds it directly underneath one of the points. Given the magnitude of the force, find the tension in the string and the mass of the bag.

Three forces act on a particle. You're given the magnitude of one, and the directions of all three. Find the magnitudes of the other two forces.

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.

This exercise will help you round off decimals to given decimal places.

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

Finding domain and range of a given function. 

Find the equation of a straight line parrarell to a given straight line passes through a given point.

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 Sine Rule when given two sides and an angle.  In this question the triangle is obtuse and the first angle to be found is obtuse.

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.

Given ratio of ingredients in a preparation, and amounts of each ingredient, work out how much of the preparation you can make.

Based on question 5 from section 3 of the maths-aid workbook on numerical reasoning.

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

Given the vector equations of two straight lines, find the coordinates of the point of intersection

Given the vector equations of two straight lines, find the angle between them

Basic calculation exercise using distance in km, expected mph and desired arrival time (with the conversion factor for km to miles given).

Based on a generic test QTS question.

Find the first few terms of the Maclaurin and Taylor series of given functions.

Implicit differentiation.

Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Given an annual salary, tax allowance, tax rate and pension deduction, work out a person's take-home pay per month.

Given sentences involving propositions translate into logical expressions.

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