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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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861 prompts matching "Explain why a complex number times its conjugate is real"

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 using the quadratic formula

Act as my SS2 Further Maths tutor. I used the quadratic formula on 2x^2-3x-5=0 but I think

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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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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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Explain substitution method back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the substitutio

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Worked example: is this line tangent to this curve

Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's

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Spot my mistake finding a tangent condition

Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w

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Spot my mistake adding polynomials

Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch

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Teach me long division of polynomials

Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of

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Give me practice on polynomial long division

Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials

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Spot my mistake in polynomial long division

Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long

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Worked example: using the factor theorem to factorise a cubic

Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor

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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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Explain solving cubic equations back to me

Act as my SS2 Further Maths tutor. I'll explain the full process for solving a cubic equat

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Spot my mistake identifying a compound statement symbol

Act as my SS2 Further Maths tutor. I identified the symbol used in a compound statement bu

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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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Spot my mistake in a truth table

Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu

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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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Spot my mistake testing logical equivalence

Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test

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