Selection of Quadratic Equations to Solve

This exercise will help you do advanced mathematical operations using fractions.

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

Factorising polynomials using the highest common factor.

For 'Equations of motions' page on the wiki, under kinematics. Includes questions using the SUVAT equations.

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Practice using the log rules to add and subtract logarithms

Practice using the log rules to add and subtract logarithms

Section 2.2 of M1 book. Using v squared formula

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

Practice using the log rules to add and subtract logarithms

Solving quadratic equations using the formula

Obtain the equation of a straight line that passes through 2 points.

Give the student three points lying on a quadratic, and ask them to find the roots.

Then ask them to find the equation of the quadratic, using their roots. Error in calculating the roots is carried forward.

Finally, ask them to find the midpoint of the roots (just for fun). Error is carried forward again.

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Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the chain rule to differentiate various functions.

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

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Introduction to using the product rule

Introduction to using the product rule

Questions using Pythagoras' theorem involving integers and surds. 

Practice of dividing by a decimal.  This should be solvable without using a calculator.

Four questions, of increasing complexity, involving addition of decimals.  These should all be solvable without using a calculator.

Four questions, of increasing complexity, invoving multiplication.  These should all be solvable without using a calculator.

Four questions, of increasing complexity, involving long division.  These should be solvable without using a calculator.

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.

Solve a system of linear equations using Gaussian elimination.