Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,333 prompts matching "One root twice the other, and what that gives"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show that command word: line is tangent to a circle
I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry
Subscribe to unlock allShow that command word: sum of an arithmetic progression
I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n
Subscribe to unlock allFind the sum to infinity command word
I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric
Subscribe to unlock allShow that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Subscribe to unlock allStructured question: converse, inverse, and contrapositive together
I am in SS 3. Set me a structured question where, for one given conditional statement, I m
Subscribe to unlock allShow that command word: biconditional equivalence
I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo
Subscribe to unlock allShow that command word: Pascal's triangle row sums to a power of 2
I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries
Subscribe to unlock allShow that (1,2), (3,6), and (5,10) are collinear
I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,
Subscribe to unlock allGive me a past-paper style question bank for sum and product of roots
I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran
Subscribe to unlock allStructured question: quadratic with roots that differ by a given amount
I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe
Subscribe to unlock allStructured question: AP and GP sharing the same first three terms
I am in SS 3. Give me a structured question describing a sequence whose first three given
Subscribe to unlock allNon-calculator paper: exact value question on sum and product of roots
I am in SS 3. Give me a non-calculator sum and product of roots question where the final a
Subscribe to unlock allQuiz: The zero matrix, and how it differs from nought in arithmetic
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix, and how it differs
Subscribe to unlock allWAEC Prep: What Cramer's rule gives when the system is inconsistent
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through what Cramer's rule
Subscribe to unlock allExplain Back: What a coefficient determinant of nought says about the system
I have just studied what a coefficient determinant of nought says about the system in my S
Subscribe to unlock allQuiz: Arranging the equations in standard form before applying Cramer's rule
Act as my SS3 Further Mathematics tutor and quiz me on arranging the equations in standard
Subscribe to unlock allSpot My Mistake: Checking cofactors by expanding the determinant along a second row
Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin
Subscribe to unlock allWorked Example: The identity that A times its adjoint gives the determinant times the identity
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the id
Subscribe to unlock allWAEC Prep: The inverse of a 2 by 2 matrix as one over the determinant times the adjoint
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allPractice: What a singular coefficient matrix says about the equations
Act as my SS3 Further Mathematics tutor. Give me five practice questions on what a singula
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