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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 "Find the range of x for which y = x^3 - 3x is increasing"

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Use the remainder theorem on 2x^3 + x^2 - 5x + 2 divided by x + 2

Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t

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Use the remainder theorem on x^3 - 6x^2 + 11x - 6 divided by x - 2

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Teach me the stating the factor theorem

You are my SS2 Further Mathematics tutor. Teach me stating the factor theorem, in clear st

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Spot my mistake solving a cubic equation

Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t

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Sum and product of roots of a cubic equation

Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o

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Worked example: truth table for a compound statement

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Teach me what a tautology is

Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi

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Worked example: proving a statement is a tautology

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Spot my mistake identifying a tautology

Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau

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Teach me what a logical argument is

Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo

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Spot my mistake in a combination problem

Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi

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Worked example: probability of selecting a committee

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

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Spot my mistake in a combinatorial probability problem

Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi

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Quiz me on Reading a binomial coefficient off Pascal's triangle

Act as my SS2 Further Mathematics tutor and quiz me on reading a binomial coefficient off

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Give me practice on the binomial theorem

Act as my SS2 Further Maths tutor. Give me eight practice questions covering Pascal's tria

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Spot my mistake in a binomial expansion

Act as my SS2 Further Maths tutor. I expanded a binomial expression but I think I used the

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Worked example: rationalising a binomial surd denominator

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Worked example: finding where a line meets a circle

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Worked example: finding a term in an arithmetic progression

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Spot my mistake in a geometric progression

Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom

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