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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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891 prompts matching "Quiz: A cubic with three distinct real roots"

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

Quiz: A rate of change problem about a vessel filling with water

Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve

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WAEC Prep: Splitting a fraction with two distinct linear factors

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

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Solve a quadratic equation with complex roots #2

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0

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Solve a quadratic equation with complex roots #3

I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0

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Quiz: The complement of a set within a stated universal set

Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st

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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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Worked Example: The sum of the products of the roots of a cubic taken two at a time

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the su

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Practice: Finding the third root of a cubic when two are known

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding the th

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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming a quadratic with

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Inequality word problem with a real-life constraint

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a wo

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Composite function with three functions applied in order

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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Structured question: quadratic with roots that differ by a given amount

I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe

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Quiz me on the symmetry of the normal distribution curve

I am in SS 3. Quiz me with three true-or-false statements about the normal distribution cu

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Quiz me: matrices, determinants and inverses mixed

I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d

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Quiz me: calculus differentiation rules

I am in SS 3. Quiz me with three short differentiation questions, one needing the product

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Final Revision: Proving that root 2 is irrational

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Final Revision: Checking that the roots found satisfy the original equation

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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