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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,278 prompts matching "Find sum and product of roots of x^2 - 8x + 15 = 0"

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

Vectors and simple geometry proof

I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera

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Show all working: the range and the greatest height of a projectile

I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest

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Explain time of flight and range in projectile motion

I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o

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Teach me how to find the writing the inverse of a two by two matrix with the adjugate

You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat

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Final Revision: The power set, and how many subsets a set of n elements has

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

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Explain Back: Finding the identity element of a binary operation

I have just studied finding the identity element of a binary operation in my SS3 Further M

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

I have just studied rationalising a denominator of the form a plus root b using the conjug

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Learn: The multiplication and division laws of indices used together

You are my personal SS3 Further Mathematics tutor. Teach me the multiplication and divisio

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Worked Example: The discriminant, and what each of its three cases means

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

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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 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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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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

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Learn: The degree of a polynomial and its leading coefficient

You are my personal SS3 Further Mathematics tutor. Teach me the degree of a polynomial and

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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

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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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Learn: The meaning of n factorial, and how to evaluate it

You are my personal SS3 Further Mathematics tutor. Teach me the meaning of n factorial, an

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Learn: The meaning of n choose r, and how to evaluate it

You are my personal SS3 Further Mathematics tutor. Teach me the meaning of n choose r, and

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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

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Quiz: Solving tan x equals a given value, and the period of the tangent

Act as my SS3 Further Mathematics tutor and quiz me on solving tan x equals a given value,

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Learn: The shape, period and range of the sine curve

You are my personal SS3 Further Mathematics tutor. Teach me the shape, period and range of

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