Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "Explain line-curve intersection conditions 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 allResolve a force into horizontal and vertical components #2
Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the
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 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 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: finding the argument in the correct quadrant
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Subscribe to unlock allShow All Working: Solving a cubic equation by factorisation
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a
Subscribe to unlock allLearn: Solving a linear inequality, and reversing the sign on dividing by a negative
You are my personal SS3 Further Mathematics tutor. Teach me solving a linear inequality, a
Subscribe to unlock allSpot My Mistake: Showing the solution of an inequality on a number line
Act as my SS3 Further Mathematics tutor. Work a question on showing the solution of an ine
Subscribe to unlock allFinal Revision: The region of the plane satisfying a set of linear inequalities
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Subscribe to unlock allLearn: The shape, period and range of the sine curve
You are my personal SS3 Further Mathematics tutor. Teach me the shape, period and range of
Subscribe to unlock allQuiz: The gradient of the line through two points
Act as my SS3 Further Mathematics tutor and quiz me on the gradient of the line through tw
Subscribe to unlock allPractice: The equation of a line through a point with a given gradient
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the equation o
Subscribe to unlock all