Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →765 prompts matching "gradient of a tangent versus a normal"
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: laws of indices
I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr
Subscribe to unlock allCambridge-style question: change of base formula
I am in SS 3. Give me an Additional Maths question requiring the change of base formula to
Subscribe to unlock allStructured question: equation of a circle from centre and a point
I am in SS 3. Set me a structured question where I am given the centre of a circle and a p
Subscribe to unlock allStructured question: intersection of a line and a circle
I am in SS 3. Give me a structured question where I substitute a line's equation into a ci
Subscribe to unlock allShow 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 allWAEC exam question: rate of change problem
I am in SS 3. Give me a WAEC-style Further Maths question involving a rate of change, such
Subscribe to unlock allFind the range of values command word: increasing function
I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the
Subscribe to unlock allFind the number of ways command word: combinations
I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin
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 allEvaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
Subscribe to unlock allFind the sum of the first 15 terms of an AP
I am in SS 3. Give me a structured question where I am given the first term and common dif
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 allFind the range of x for which y = x^3 - 3x is increasing
I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range
Subscribe to unlock allGive me an exam formula sheet for sum and product of roots
I am in SS 3. Build me a short formula sheet covering every formula I need for sum and pro
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 allSpot my mistake: checking each line of a trigonometric identity proof
I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f
Subscribe to unlock allGive me exam-technique advice for running out of time
I am in SS 3. Give me practical Additional Maths exam-technique advice for what to do if I
Subscribe to unlock allStructured question: stating the domain of the inverse of a fractional function
You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a
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
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