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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,210 prompts matching "why a line tangent to a curve gives equal roots"

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 finding a vector cross product

I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about

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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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Teach me resolving forces on an inclined plane

I am in SS 3. Teach me how to resolve forces along and perpendicular to an inclined plane,

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Show All Working: Expressing a number in the form a root b

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Learn: The sum and the product of the roots read from the coefficients

You are my personal SS3 Further Mathematics tutor. Teach me the sum and the product of the

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Explain Back: The range of values of k for which the roots are real

I have just studied the range of values of k for which the roots are real in my SS3 Furthe

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

Act as my SS3 Further Mathematics tutor. Work a question on forming a new equation whose r

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

Act as my SS3 Further Mathematics tutor. Work a question on forming an equation whose root

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Practice: Factorising a cubic completely once one factor is known

Act as my SS3 Further Mathematics tutor. Give me five practice questions on factorising a

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Show All Working: Solving a cubic equation by factorisation

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Learn: The sum of the roots of a cubic read from its coefficients

You are my personal SS3 Further Mathematics tutor. Teach me the sum of the roots of a cubi

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Quiz: The product of the roots of a cubic

Act as my SS3 Further Mathematics tutor and quiz me on the product of the roots of a cubic

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Spot My Mistake: The relations between roots and coefficients for a quartic

Act as my SS3 Further Mathematics tutor. Work a question on the relations between roots an

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Show All Working: Three roots in arithmetic progression in a cubic

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on three root

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Quiz: Solving a quadratic inequality using a sign table

Act as my SS3 Further Mathematics tutor and quiz me on solving a quadratic inequality usin

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Explain Back: Solving an inequality that involves a modulus

I have just studied solving an inequality that involves a modulus in my SS3 Further Mathem

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Show All Working: Arrangements of the letters of a given word

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on arrangemen

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Spot My Mistake: The identity that n choose r equals n choose n minus r

Act as my SS3 Further Mathematics tutor. Work a question on the identity that n choose r e

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

You are my personal SS3 Further Mathematics tutor. Teach me the Pythagorean identity, sin

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