Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "Explain argument validity 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.
Explain 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 particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
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 friction and the coefficient of friction
I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t
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 allWAEC Further Mathematics command words explained
I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and 'd
Subscribe to unlock allWorked example: finding the matrix of cofactors and the adjugate
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ma
Subscribe to unlock allWorked Example: The discriminant, and what each of its three cases means
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the di
Subscribe to unlock allWorked Example: The sum of the products of the roots of a cubic taken two at a time
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the su
Subscribe to unlock allWorked Example: The number of arrangements of n different objects in a row
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the nu
Subscribe to unlock allWorked Example: The parametric form of a point on a parabola
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the pa
Subscribe to unlock allWorked Example: The sign convention for clockwise and anticlockwise moments
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the si
Subscribe to unlock allWorked Example: Relative velocity when two bodies move along the same line
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on relati
Subscribe to unlock all