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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "The area under a straight line checked by a trapezium"

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =

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

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Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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Cambridge-style structured question: line meets a curve

I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute

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Prove command word: line does not intersect a curve

I am in SS 2. Give me a 'prove that' style question where I must show a given line never m

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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Final Revision: A word problem solved by factorising a quadratic

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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Worked Example: Halving the coefficient of x and squaring it

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Quiz: Completing the square on x squared plus 6x

Act as my SS2 Further Mathematics tutor and quiz me on completing the square on x squared

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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Common Mistakes: Checking a completed square by expanding it again

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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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Practice: Giving the roots correct to two decimal places

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Explain Back: Leaving the roots of a quadratic in surd form

I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem

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