Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,307 prompts matching "Learn: Solving an equation by writing both sides to the same base"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Restricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Subscribe to unlock allFunction machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Subscribe to unlock allStructured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Subscribe to unlock allStructured question: solve a logarithmic equation with two conditions
I am in SS 3. Give me a structured question where I solve a logarithmic equation and must
Subscribe to unlock allStructured question: equation of a line through two points
I am in SS 3. Give me a structured question where I find the equation of a straight line t
Subscribe to unlock allStructured question: find the nth term and a specific term of an AP
I am in SS 3. Give me a structured arithmetic progression question where I first find the
Subscribe to unlock allStructured question: find and classify all stationary points
I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta
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 allQuiz me on logic symbols and their meanings
I am in SS 3. Quiz me by giving me logic symbols one at a time, such as negation, conjunct
Subscribe to unlock allStructured question: two compound statements compared row by row
I am in SS 3. Give me a structured question where I must build truth tables for two differ
Subscribe to unlock allWAEC exam question: two unknowns from remainder and factor conditions
I am in SS 3. Give me a WAEC-style polynomial question where a cubic has two unknown coeff
Subscribe to unlock allStructured question: perpendicular bisector of (2,1) and (-4,7)
I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi
Subscribe to unlock allAP with 3rd term 11 and 8th term 31: find a and d
I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1
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 allGive me an exam formula sheet for quadratic inequalities
I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua
Subscribe to unlock allGive me a past-paper style question bank for quadratic inequalities
I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie
Subscribe to unlock allSpot my mistake: forming a quadratic equation from its roots
Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f
Subscribe to unlock allSpot my mistake: dividing a polynomial by long division
I am in SS 3. I will show you my full long division working for dividing a polynomial by a
Subscribe to unlock allWorked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
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