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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,051 prompts matching "Roots that are reciprocals of one another"

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

Quiz me: vectors and complex numbers mixed

I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus qu

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Quiz me: calculus differentiation rules

I am in SS 3. Quiz me with three short differentiation questions, one needing the product

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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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Teach me resolving forces on an inclined plane

I am in SS 3. Teach me how to resolve forces along and perpendicular to an inclined plane,

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Teach me the normal distribution standardisation formula

I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -

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WAEC Further Mathematics: vectors and geometry combined question

I am in SS 3. Give me a WAEC Further Mathematics style question combining position vectors

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WAEC Further Mathematics: calculus optimisation word problem

I am in SS 3. Give me a WAEC Further Mathematics style optimisation word problem, such as

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Final revision: my three hardest Further Maths topics

Ask me which three SS3 Further Mathematics topics I find hardest, then set me one focused

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

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

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Quiz: Testing a binary operation for commutativity

Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm

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Worked Example: Collecting like surds in a single sum

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

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Quiz: Multiplying two surds and simplifying the result

Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Quiz: Solving an index equation by writing both sides to the same base

Act as my SS3 Further Mathematics tutor and quiz me on solving an index equation by writin

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Quiz: Finding alpha cubed plus beta cubed

Act as my SS3 Further Mathematics tutor and quiz me on finding alpha cubed plus beta cubed

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Worked Example: Evaluating a polynomial by substitution

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Quiz: The factor theorem, and testing whether x minus a is a factor

Act as my SS3 Further Mathematics tutor and quiz me on the factor theorem, and testing whe

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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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Quiz: Solving a quadratic inequality using a sign table

Act as my SS3 Further Mathematics tutor and quiz me on solving a quadratic inequality usin

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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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