Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Explain permutations and combinations 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.
Identify symmetric matrices practice
Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^
Subscribe to unlock allExplain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Subscribe to unlock allExplain 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
Subscribe to unlock allExplain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Subscribe to unlock allExplain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
Subscribe to unlock allExplain 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
Subscribe to unlock allDefine 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
Subscribe to unlock allExplain the parallelogram of forces
Explain the parallelogram law for finding the resultant of two forces, with a labelled dia
Subscribe to unlock allExplain 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
Subscribe to unlock allExplain the polygon of forces
I am in SS 3. Explain what the polygon of forces method is and how it shows several concur
Subscribe to unlock allExplain equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Subscribe to unlock allExplain 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
Subscribe to unlock allWorked Example: Simplifying an expression carrying both a negative and a fractional index
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli
Subscribe to unlock allWorked Example: The identities for one plus tan squared and one plus cot squared
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the id
Subscribe to unlock allWorked Example: Solving cos x equals a negative value, and finding both solutions
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on solvin
Subscribe to unlock allWorked Example: The shape, period and range of the cosine curve
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the sh
Subscribe to unlock allWorked Example: The equation of a circle with a given centre and radius
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the eq
Subscribe to unlock allWorked Example: The amplitude, period and frequency of a simple harmonic motion
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the am
Subscribe to unlock allSpot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag
Subscribe to unlock allSpot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant
Act as my SS3 Further Mathematics tutor. Write a short answer on adding the magnitudes of
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