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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,002 prompts matching "WAEC-style question on evaluating composite functions"

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Show All Working: Completing the square with a fractional coefficient of x

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on completing the

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Common Mistakes: Checking a completed square by expanding it again

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Final Revision: Why completing the square always works

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

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Final Revision: A word problem solved with the quadratic formula

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Quiz: Finding the sum and the product without solving the equation

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Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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Common Mistakes: Roots that are reciprocals of one another

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Final Revision: One root twice the other, and what that gives

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Learn: What makes an expression in the roots symmetric

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Quiz: The value of one over alpha squared plus one over beta squared

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Show All Working: Forming an equation whose roots are three alpha and three beta

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa

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Learn: Making one unknown the subject of the linear equation

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Quiz: Solving the quadratic that results from the substitution

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Practice: Finding the matching value of the second unknown

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Spot My Mistake: A pair with equal roots, meaning one solution only

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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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Final Revision: Checking both solutions in both equations

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Worked Example: The discriminant used as the test for intersection

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