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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: find an unknown coefficient using the remainder theorem"

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

Spot my mistake completing the square

Act as my SS2 Further Maths tutor. I tried to complete the square for x^2+6x+5=0 but I thi

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Why does completing the square work

Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work

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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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Explain the quadratic formula back to me

Act as my SS2 Further Maths tutor. Let me explain the quadratic formula and how to apply i

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Explain sum and product of roots back to me

Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back

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Spot my mistake with sum and product of roots

Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5

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Give me practice on simultaneous equations

Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations

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WAEC-style simultaneous equation problem

Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics word problem that lea

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Why simultaneous linear-quadratic systems can have two solutions

Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi

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Quiz me on line and curve intersection conditions

Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and

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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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Teach me converse and inverse propositions

Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a

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Worked example: converse and inverse of a statement

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

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