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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,302 prompts matching "An operation that is associative but not commutative"

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Common Mistakes: Solving an exponential equation using logarithms

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Final Revision: Checking that the roots found satisfy the original equation

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Common Mistakes: The range of values of x for which an expression stays positive

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Common Mistakes: Arrangements restricted at the first or the last place

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Learn: The distance between two points

You are my personal SS3 Further Mathematics tutor. Teach me the distance between two point

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Common Mistakes: The angle between two lines found from their gradients

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Common Mistakes: The condition for a line to be a tangent to a circle

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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 velocity of one body relative to another

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Common Mistakes: The work done against friction on an incline

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Final Revision: Showing that a given motion is simple harmonic

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Common Mistakes: A particle oscillating on the end of an elastic string

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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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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Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

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Structured question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

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Show that command word: logarithm laws

I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit

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