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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Explain converse and inverse 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: The powers of i, and the cycle they follow

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

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Worked Example: The area between a curve and the x-axis

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

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Worked Example: Finding the first term and the common difference from two given terms

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

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Identify symmetric matrices practice

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

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Explain the identity matrix

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

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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

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Explain the rule of signs for determinants

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

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Explain the adjoint of a matrix

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

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Solve simultaneous equations using an inverse matrix #1

I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th

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Solve simultaneous equations using an inverse matrix #2

I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t

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Solve simultaneous equations using an inverse matrix #3

Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t

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WAEC past-question practice: inverse matrices #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the inverse of a

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WAEC past-question practice: inverse matrices #2

I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac

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Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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Explain the parallelogram of forces

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

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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

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Explain the polygon of forces

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

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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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Explain finding area under a curve using integration

I am in SS 3. Explain how definite integration gives the area under a curve between two li

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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