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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,032 prompts matching "WAEC exam question: solving f(x) = c for an unknown x"

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

Complete the square for x^2 - 10x + 21 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 10x + 21 = 0 by

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Complete the square for x^2 + 3x - 4 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c

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Complete the square for 3x^2 + 6x - 2 = 0

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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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Quiz me on the sum and product of the roots of a cubic

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin

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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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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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Explain the difference between remainder and factor theorem

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Give me practice solving cubic equations

Act as my SS2 Further Maths tutor. Give me six practice cubic equations to solve completel

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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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Quiz me on converse and inverse

Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as

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Explain converse and inverse back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th

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Explain biconditional and equivalence back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between a biconditional sta

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Worked example: proving a statement is a tautology

Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to

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Worked example: applying predicate logic to solve a problem

Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical

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Worked example: choosing a committee

Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to

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Explain permutations and combinations back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between per

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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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Quiz me on the binomial expansion of a bracket raised to the power four

Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex

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