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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Discriminant and the nature of roots"

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Worked Example: Solving a quadratic inequality by sketching the parabola

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

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Explain Back: Arrangements in which two particular objects must stay together

I have just studied arrangements in which two particular objects must stay together in my

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Worked Example: The midpoint formula applied to a given segment

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Explain Back: Deciding whether a point lies inside, on or outside a circle

I have just studied deciding whether a point lies inside, on or outside a circle in my SS3

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Worked Example: Relative velocity when two bodies move along the same line

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Explain Back: The course to steer so that a boat crosses straight over

I have just studied the course to steer so that a boat crosses straight over in my SS3 Fur

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Worked Example: The normal reaction on a body resting on a smooth incline

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Explain Back: The displacement written as x equals a sin omega t

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Worked Example: The tension in a stretched elastic string

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Explain Back: The elastic potential energy stored in a stretched string

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Show that command word: binomial coefficient identity

I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi

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Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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Evaluating a function at an algebraic input

I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at

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Piecewise-style simple function evaluation

I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha

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Function notation applied to a real-world formula

I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu

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One-to-one versus many-to-one functions

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

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Solving f(x) = a given value

I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th

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Quiz me rapid-fire on evaluating functions

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

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