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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The moment of a force whose line of action is not perpendicular"

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

Teach me predicate logic basics

Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what

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Teach me approximating powers using binomial expansion

Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate

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Worked example: solving a quadratic trigonometric equation

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri

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Teach me geometric progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

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Quiz me on arithmetic and geometric progressions

Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome

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Teach me finding stationary points

Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom

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Worked example: finding and classifying a stationary point

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the stationary

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Worked example: solving simultaneous equations using matrices

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu

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Explain matrices back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to multiply matrices a

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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Quiz me on quadratic inequalities

I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu

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Show that command word: polynomial identity

I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b

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Learn: What makes an expression a polynomial

You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol

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Learn: What makes a sentence a proposition

You are my personal SS2 Further Mathematics tutor. Teach me what makes a sentence a propos

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