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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 "Structured question: fully factorise a cubic using the factor theorem"

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

Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

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Find the value of k for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's

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Use the remainder theorem on x^3 - 2x^2 + 3x - 4 divided by x - 1

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 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 + 3x^2 - x - 3 divided by x - 1

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

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

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Teach me the truth table for negation

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation

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Teach me the truth table for conjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti

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Teach me the truth table for disjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti

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Quiz me on the inclusive sense of 'or' in a disjunction

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Worked example: finding the middle term of a binomial expansion

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

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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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Explain the binomial theorem back to me

Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to

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Teach me the laws of indices at Further Maths level

Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu

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Teach me the laws of logarithms

Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,

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Teach me the equation of a straight line

Act as my SS2 Further Maths tutor. Teach me how to find the equation of a straight line gi

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Teach me the equation of a circle

Act as my SS2 Further Maths tutor. Teach me how to find the equation of a circle given its

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Teach me the basic trigonometric identities

Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including

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WAEC question on trigonometric equations

Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style trigonometric

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Teach me the basics of differentiation

Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom

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