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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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700 prompts matching "WAEC past-question practice: vectors #4"

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Common Mistakes: Roots that are reciprocals of one another

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on roo

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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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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

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Explain Back: The value of alpha minus beta, all squared

I have just studied the value of alpha minus beta, all squared in my SS2 Further Mathemati

Spot My Mistake: The value of alpha over beta plus beta over alpha

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

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

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Final Revision: Using a symmetric function to find an unknown coefficient

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Learn: Making one unknown the subject of the linear equation

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Worked Example: Substituting into the quadratic and tidying up

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Quiz: Solving the quadratic that results from the substitution

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Explain Back: Writing the answers as ordered pairs

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

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Worked Example: The discriminant used as the test for intersection

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