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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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430 prompts matching "A lamp hanging from two wires, solved by Lami's theorem"

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

Factorise 2x^2 - 11x + 5

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^

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Derive the quadratic formula

Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form

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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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Quiz me on why negation reverses every truth value

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

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Quiz me on when a conjunction of three statements is true

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

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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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Teach me logically equivalent propositions

Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit

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Spot my mistake in a permutation problem

Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used

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Worked example: proving a trigonometric identity

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

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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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Quiz me on factorising quadratic expressions

Act as my SS2 Further Maths tutor. Quiz me with five quadratic expressions to factorise by

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Give me practice on quadratic trinomial factorisation

Act as my SS2 Further Maths tutor. Give me ten practice questions on factorising quadratic

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Give me practice solving quadratic equations

Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve by fa

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Explain the factorisation method back to me

Act as my SS2 Further Maths tutor. Let me explain to you, in my own words, how to solve a

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Spot my mistake solving x^2-3x-10=0

Act as my SS2 Further Maths tutor. I solved x^2-3x-10=0 and got x=2 or x=-5. Check my work

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WAEC exam question on quadratic equations

Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics style question that r

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Worked example: word problem leading to a quadratic

Act as my SS2 Further Maths tutor. Show me a full worked example of a word problem that le

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Complete the square for x^2 + 6x + 5 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 6x + 5 = 0 by c

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Complete the square for x^2 - 4x - 1 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 4x - 1 = 0 by c

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