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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 "Quiz: The principle of moments for a body in equilibrium"

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 2cos(x) = 1, for 0 <= x <= 360

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

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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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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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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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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