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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Explain propositions back to me"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Worked Example: Matching each force to the sine of the angle opposite it

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

Worked Example: The distance between two points in three dimensions

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

Worked Example: Finding the unit vector in the direction of a given vector

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

Worked Example: The position vector of the midpoint of AB

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

Worked Example: The triangle law of vector addition

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

Worked Example: Testing two vectors for perpendicularity

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

Worked Example: Differentiating a bracket raised to a power

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

Explain pre-multiplication and post-multiplication

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

Identify symmetric matrices practice

Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^

Explain the identity matrix

Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

Explain the zero matrix in matrix algebra

I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s

Explain the rule of signs for determinants

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

Explain the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

Explain the conditions for equilibrium of a rigid body

I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu

Explain the polygon of forces

I am in SS 3. Explain what the polygon of forces method is and how it shows several concur

Explain friction and the coefficient of friction

I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t

Explain equal complex numbers

I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal

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