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Senior Secondary

Further Mathematics

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1,333 prompts matching "WAEC-style multi-mark question on completing the square"

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Learn: Why two matrices can be added only when their orders match

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Sample

You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Quiz: The zero matrix as the identity for matrix addition

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for

Quiz: Solving a matrix equation of the form A plus X equals B

Act as my SS3 Further Mathematics tutor and quiz me on solving a matrix equation of the fo

Spot My Mistake: Orders that make a product possible one way round but not the other

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

Learn: Deciding whether a stated matrix calculation is possible at all

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

Worked Example: Forming the determinant Dy by replacing the second column

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on formin

Quiz: Arranging the equations in standard form before applying Cramer's rule

Act as my SS3 Further Mathematics tutor and quiz me on arranging the equations in standard

Spot My Mistake: Checking cofactors by expanding the determinant along a second row

Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin

Explain Back: The inverse of a diagonal matrix

I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.

Spot My Mistake: Why the inverse must be applied on the correct side

Act as my SS3 Further Mathematics tutor. Work a question on why the inverse must be applie

Quiz: Solving three simultaneous equations with the inverse matrix

Act as my SS3 Further Mathematics tutor and quiz me on solving three simultaneous equation

Worked Example: Checking the solution of three equations by substitution

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on checki

Worked Example: The direction of the resultant of two forces

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the di

Learn: The component of a force along a stated direction

You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along

Quiz: Recovering the original force from its two components

Act as my SS3 Further Mathematics tutor and quiz me on recovering the original force from

Explain Back: The forces acting on a body hanging from two strings

I have just studied the forces acting on a body hanging from two strings in my SS3 Further

Worked Example: Using the sine rule on the triangle of forces

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on using

Worked Example: Drawing the polygon of forces to scale

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on drawin

Quiz: The coefficient of friction between two surfaces

Act as my SS3 Further Mathematics tutor and quiz me on the coefficient of friction between

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