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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 "An argument written in words and tested for validity"

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Explain Back: Raising a complex number to a power by de Moivre's theorem

I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F

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Explain Back: Differentiating one over x from first principles

I have just studied differentiating one over x from first principles in my SS3 Further Mat

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Worked Example: Differentiating a bracket raised to a power

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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Explain Back: The greatest height reached by a body thrown upwards

I have just studied the greatest height reached by a body thrown upwards in my SS3 Further

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Worked Example: Power as the rate of doing work

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Explain Back: The sum of the first n terms of a geometric progression

I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt

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Explain Back: Writing a recurring decimal as a geometric series

I have just studied writing a recurring decimal as a geometric series in my SS3 Further Ma

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Explain Back: Partial fractions with a repeated linear factor

I have just studied partial fractions with a repeated linear factor in my SS3 Further Math

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WAEC past-question practice: inverse matrices #4

I am in SS 3. Test me with a timed WAEC-style inverse matrix question, give it to me cold,

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Explain why a complex number times its conjugate is real

I have just studied why a complex number times its conjugate is real in my SS3 Further Mat

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WAEC past-question practice: mechanics #4

I am in SS 3. Test me with a timed WAEC-style mechanics question, give it to me cold, then

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Worked example: binomial distribution problem

I am in SS 3. Show me one fully worked binomial probability example step by step, then giv

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Teach me integration by recognising the reverse of differentiation

I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin

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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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Worked Example: Testing whether a binary operation is closed on a given set

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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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Worked Example: Collecting like surds in a single sum

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Worked Example: Finding one over alpha plus one over beta

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