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Further Mathematics

AI prompts for senior secondary learners.

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1,331 prompts matching "Structured question: find f^-1(x) and verify it"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Structured question: arrangements with a restriction

I am in SS 3. Give me a structured permutations question where letters or people must be a

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Structured question: choosing a committee with a condition

I am in SS 3. Set me a structured combinations question where a committee must be chosen f

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Structured question: use Pascal's triangle to expand a binomial

I am in SS 3. Give me a structured question where I must write out the relevant row of Pas

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Structured question: line through (1,4) and (5,-2)

I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and

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Structured 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

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GP with 3rd term 18 and 6th term 486: find a and r

I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18

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Show 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

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Structured question: find k so a cubic has a repeated root

I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must

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Structured question: composite function domain restriction

I am in SS 3. Give me a structured question where the composite function fg(x) is undefine

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Structured question: stationary point on a curve with an unknown constant

I am in SS 3. Give me a structured differentiation question where a curve contains an unkn

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Structured question: logarithmic inequality

I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch

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Structured question: circle with a diameter given by two endpoints

I am in SS 3. Give me a structured coordinate geometry question where two points are the e

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Structured question: combination problem with 'at least' condition

I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc

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WAEC Prep: Finding the mean or the standard deviation from a given probability

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through finding the mean o

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Structured question: find the equation of a normal to a curve

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

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WAEC exam question: the converse, the inverse and the contrapositive

Act as my SS3 Further Mathematics examiner. Set me an exam-standard question on the conver

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Structured question: permutations with repeated letters

I am in SS 3. Set me a structured question asking for the number of distinct arrangements

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Structured question: binomial expansion with a negative term

I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking

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WAEC 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

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Give me a past-paper style question bank for line and curve tangency conditions

I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t

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