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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 logarithm of one, in any base"

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

Summarise trigonometric identities and equations for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise sequences and series for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise differentiation for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise surds for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Give me a full mixed revision test

Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co

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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: 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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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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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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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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Worked Example: Sentences that are not propositions

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on senten

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Quiz: Why a conditional with a false antecedent counts as true

Act as my SS2 Further Mathematics tutor and quiz me on why a conditional with a false ante

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Practice: What logical equivalence means

Act as my SS2 Further Mathematics tutor. Give me five practice questions on what logical e

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Worked Example: What a contradiction is

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on what a

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Worked Example: Premises and conclusion

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on premis

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Practice: Modus tollens

Act as my SS2 Further Mathematics tutor. Give me five practice questions on modus tollens,

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Spot My Mistake: Disjunctive syllogism

Act as my SS2 Further Mathematics tutor. Work a question on disjunctive syllogism with one

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