Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Finding the number of terms in an arithmetic series"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Prove that tanx + 1/tanx = 1/(sinx cosx)
I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu
Subscribe to unlock allShow that a geometric series converges and find its sum to infinity
I am in SS 3. Give me a structured question where I must first show a given geometric seri
Subscribe to unlock allDifferentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1
I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q
Subscribe to unlock allSpot my mistake: solving an exponential equation
I am in SS 3. I will show you my working for solving an exponential equation by matching b
Subscribe to unlock allStructured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
Subscribe to unlock allStructured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Subscribe to unlock allStructured question: quadratic formula question with a negative discriminant
I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati
Subscribe to unlock allQuiz me on choosing the correct method for a quadratic
I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor
Subscribe to unlock allQuiz me on recognising which command word fits a blank exam question
I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g
Subscribe to unlock allLearn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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WAEC Prep: Raising a 2 by 2 matrix to the third power
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through raising a 2 by 2 m
Subscribe to unlock allExplain Back: Showing that AB and BA are usually different for 2 by 2 matrices
I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my
Subscribe to unlock allWAEC Prep: Multiplying a 3 by 3 matrix by the identity matrix
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through multiplying a 3 by
Subscribe to unlock allQuiz: Solving AX equals B and XA equals B by different routes
Act as my SS3 Further Mathematics tutor and quiz me on solving AX equals B and XA equals B
Subscribe to unlock allWorked Example: A singular matrix, and why it has no inverse
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on a sing
Subscribe to unlock allLearn: Deciding whether a stated matrix calculation is possible at all
You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr
Subscribe to unlock allExplain Back: Solving a matrix equation containing both a sum and a product
I have just studied solving a matrix equation containing both a sum and a product in my SS
Subscribe to unlock allWAEC Prep: When Cramer's rule is quicker than elimination
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through when Cramer's rule
Subscribe to unlock allLearn: Solving two simultaneous equations by Cramer's rule
You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat
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
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