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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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697 prompts matching "Rationalising a denominator that is a single surd"

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Show All Working: A simultaneous pair in which the second equation is a circle

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Learn: Forming the quadratic that decides where a line meets a curve

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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WAEC Prep: Expressions that are not polynomials, and why not

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Common Mistakes: Multiplying one polynomial by another

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Show All Working: Synthetic division as a shorter route

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Common Mistakes: The degree of the quotient and of the remainder

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Common Mistakes: The remainder theorem applied to a quartic

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Common Mistakes: Using the factor theorem before dividing

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Show All Working: Factorising a polynomial with fractional roots

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Common Mistakes: Factorising fully, and knowing when to stop

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Show All Working: Solving a cubic that must first be rearranged

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Common Mistakes: A cubic equation arising from a volume problem

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Show All Working: Translating an English sentence into logical symbols

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Common Mistakes: Translating a symbolic statement back into English

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Common Mistakes: Comparing two statements by their truth tables

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Common Mistakes: Writing the converse, inverse and contrapositive of one statement

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Show All Working: The distributive laws in logic

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Common Mistakes: Simplifying a compound statement using the laws

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