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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,231 prompts matching "Simplifying expressions with like and unlike terms"

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Worked Example: Collecting like surds in a single sum

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Practice: Converting between index form and logarithm form

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Explain Back: The laws of logarithms for a product and for a quotient

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Worked Example: The discriminant, and what each of its three cases means

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Practice: Finding alpha minus beta from the sum and the product

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Worked Example: The difference between a permutation and a combination

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Explain Back: Choosing a committee with a stated number from each of two groups

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Show All Working: Counting the handshakes, or the lines joining n points

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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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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Worked Example: The shape, period and range of the cosine curve

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

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Practice: The ellipse in standard form, and its two axes

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Show All Working: The effect on the standard deviation of adding a constant to every value

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Show All Working: A lift, and the person standing in it

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Explain Back: The angle of friction, and the coefficient of friction

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