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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Find the range of x for which y = x^3 - 3x is increasing"

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Common Mistakes: Closure on a set of three elements under a stated rule

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Worked Example: Testing whether star distributes over plus

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Common Mistakes: Distributivity on a set of three elements

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Final Revision: Why distributivity links two operations rather than one

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Quiz: Finding the identity element from an operation table

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WAEC Prep: The inverse of the identity element itself

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Common Mistakes: Checking an inverse by working the operation both ways

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Common Mistakes: Why the index laws need the bases to match

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Worked Example: Writing out the terms of a sequence from its nth term

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Quiz: The sum of the first fifty natural numbers

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WAEC Prep: A word problem about seats in the rows of a hall

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Final Revision: Deciding whether a given sequence is a geometric progression

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Quiz: The sum of the first six terms of a given geometric progression

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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WAEC Prep: Showing the solution of a linear inequality on a number line

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Worked Example: The critical values of a quadratic inequality

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Quiz: Using a sketch of the parabola to read off the solution

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Spot My Mistake: The solution when the quadratic expression is less than nought

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