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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 "Setting out the coefficient determinant for two simultaneous equations"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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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 the argument 'if p then q; p; therefore q' is valid using a truth table

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Real-life application of the quadratic formula

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Real-life application of the condition for a line to be tangent to a curve

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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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

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Learn: Deriving the quadratic formula by completing the square

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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Quiz: A negative value of b in the quadratic formula

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Spot My Mistake: What the formula gives when the discriminant is nought

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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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Final Revision: A word problem solved with the quadratic formula

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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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Worked Example: The discriminant used as the test for intersection

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Practice: The condition for the line to be a tangent

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