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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "Closure on a set of three elements under a stated rule"

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

Learn: The range, and why it is a weak measure of spread

You are my personal SS3 Further Mathematics tutor. Teach me the range, and why it is a wea

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Learn: The moment of a force about a point, and its units

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Quiz: The principle of moments for a body in equilibrium

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

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Practice: The triangle of velocities for a boat crossing a river

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Explain Back: A particle on a rough table connected to a hanging particle

I have just studied a particle on a rough table connected to a hanging particle in my SS3

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

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Explain Back: A car on a banked track

I have just studied a car on a banked track in my SS3 Further Mathematics class. Let me ex

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WAEC Prep: The conical pendulum

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Learn: Hooke's law, and what the modulus of elasticity means

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Worked Example: The tension in a stretched elastic string

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WAEC Prep: Two elastic strings supporting one particle

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Spot my mistake: Treating the dot product of two vectors as another vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product

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Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

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Evaluating a function at a given value

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

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Composite functions gf(x)

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Self-inverse functions

I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct

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