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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Raising a 2 by 2 matrix to the third power"

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

Simplify the surd expression (3+sqrt2)(3-sqrt2)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

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

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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

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Word problem leading to a factorable quadratic

I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con

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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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Common Mistakes: Checking a completed square by expanding it again

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Spot My Mistake: A polynomial written in descending powers

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Quiz: Dividing a quartic by a quadratic

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Show All Working: Factorising a polynomial with fractional roots

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Final Revision: Checking a root of a cubic by substitution

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Show All Working: Translating an English sentence into logical symbols

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Spot My Mistake: Building a truth table column by column

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Explain Back: Showing two statements equivalent by truth table

I have just studied showing two statements equivalent by truth table in my SS2 Further Mat

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