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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "Complete the square for x^2 + 3x - 4 = 0"

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

Give me a past-paper style question bank for the factor theorem

I am in SS 3. Give me a bank of four exam-style questions on the factor theorem, ranging f

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Give me a past-paper style question bank for the binomial theorem

I am in SS 3. Give me a bank of four exam-style questions on the binomial expansion, rangi

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Compare WAEC and Cambridge phrasing for the same topic

I am in SS 3. Pick one topic covered so far and show me how a WAEC Further Maths question

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Diagnose my exam readiness for WAEC Further Maths

I am in SS 3. Ask me a set of questions covering matrices, vectors, calculus and mechanics

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Teach me the normal distribution standardisation formula

I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -

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Solve 2^(3x-1) = 16 with full working

I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style

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Find the centre and radius from x^2+y^2-6x+8y-11=0

I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski

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Structured question: trig equation with a coefficient inside the angle

I am in SS 3. Give me a structured trigonometric equation question where the angle inside

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Practice: Differentiating x squared from first principles

Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin

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Explain the identity matrix

Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

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Evaluate a 3x3 determinant by expansion #1

Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina

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Evaluate a 3x3 determinant by expansion #2

Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi

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Evaluate a 3x3 determinant by expansion #3

I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua

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Evaluate a 3x3 determinant by expansion #5

Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi

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Show all working: evaluate a 3x3 determinant

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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Explain the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

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Resolve a force into horizontal and vertical components #3

I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to

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Show all working: resultant of forces question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f

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Practice: Factorising a cubic completely once one factor is known

Act as my SS3 Further Mathematics tutor. Give me five practice questions on factorising a

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