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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 "The polygon of forces for several forces in equilibrium"

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Worked example: find the distance between the points (1,2) and (4,6)

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

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

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Quiz: Completing the square on x squared plus 6x

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Practice: Working through a quadratic by completing the square, step by step

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Spot My Mistake: Completing the square when the roots are not real

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Final Revision: Why completing the square always works

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Practice: Giving the roots correct to two decimal places

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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

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Explain Back: Finding a missing coefficient from a stated sum of roots

I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur

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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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