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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Adding or subtracting the same number on both sides"

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Final Revision: Checking that the roots found satisfy the original equation

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Common Mistakes: The range of values of x for which an expression stays positive

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Common Mistakes: Arrangements restricted at the first or the last place

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Worked Example: The difference between a permutation and a combination

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Show All Working: The half angle formulae and the t-substitution

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Practice: Solving an equation of the form sin of 2x equals a given value

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Learn: The equation of a circle with its centre at the origin

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Worked Example: The equation of a circle with a given centre and radius

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Explain Back: Deciding whether a point lies inside, on or outside a circle

I have just studied deciding whether a point lies inside, on or outside a circle in my SS3

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Show All Working: The intersection of a circle and a straight line

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Common Mistakes: The condition for a line to be a tangent to a circle

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Worked Example: The parametric form of a point on a parabola

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Common Mistakes: The coefficient of variation, for comparing two sets

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