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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Practice: Finding the twentieth term of a given arithmetic progression"

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Learn: Factorising a quadratic whose coefficient of x squared is one

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Quiz: Factorising a difference of two squares in order to solve it

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Practice: Factorising a quadratic with a common factor taken out first

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Common Mistakes: Writing down the roots once the brackets are found

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Learn: Deriving the quadratic formula by completing the square

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Show All Working: Choosing between factorising and the formula

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Common Mistakes: A sign error in the formula, and how to catch it

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Learn: What makes an expression in the roots symmetric

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Common Mistakes: A symmetric function needing the sum and product twice over

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

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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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Common Mistakes: Multiplying one polynomial by another

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Practice: A division that leaves no remainder

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Show All Working: Synthetic division as a shorter route

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Spot My Mistake: Finding two coefficients from two remainder conditions

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Show All Working: A remainder of nought, and what it means

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Common Mistakes: The remainder theorem applied to a quartic

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Worked Example: Testing a list of candidates to find a factor

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Explain Back: Finding a coefficient so that a stated expression is a factor

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