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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Give me practice on converse and inverse propositions"

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

Teach me equilibrium of forces from scratch

I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never

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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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Explain-back: normal distribution properties

I am in SS 3. Let me explain the properties of the normal distribution curve in my own wor

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Worked example: finding the argument in the correct quadrant

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

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Teach me Cramer's rule from first principles

I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de

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Worked Example: The intersection of two overlapping sets

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Explain Back: The symmetric difference of two sets

I have just studied the symmetric difference of two sets in my SS3 Further Mathematics cla

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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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Worked Example: Finding one over alpha plus one over beta

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Worked Example: Evaluating a polynomial by substitution

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

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Worked Example: The number of arrangements of n different objects in a row

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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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Explain Back: The effect of b in y equals sin bx on the period

I have just studied the effect of b in y equals sin bx on the period in my SS3 Further Mat

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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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Explain Back: Finding the reaction at each support of a loaded beam

I have just studied finding the reaction at each support of a loaded beam in my SS3 Furthe

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Worked Example: The common acceleration of two connected particles

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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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Worked Example: The acceleration of a body moving round a circle at constant speed

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