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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Why one component vanishes when the direction is chosen well"

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

Explain completing the square back to me

Act as my SS2 Further Maths tutor. I'll explain the completing the square method back to y

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Give me practice with the quadratic formula

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

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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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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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Worked example: reading the solutions as points of intersection

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on readin

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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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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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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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Quiz me on polynomial division by a quadratic divisor

Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di

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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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Explain polynomial long division back to me

Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back

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Give me practice on the remainder theorem

Act as my SS2 Further Maths tutor. Give me eight practice questions on applying the remain

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Explain the difference between remainder and factor theorem

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

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Teach me what a tautology is

Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi

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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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Spot my mistake identifying a tautology

Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau

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When to use permutations versus combinations

Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh

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Spot my mistake in a combinatorial probability problem

Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi

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Teach me the binomial expansion formula

Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c

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