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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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831 prompts matching "Arrangements with two particular items adjacent"

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

Practice: The difference of two sets, A minus B

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Explain Back: The symmetric difference of two sets

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Practice: Finding the third root of a cubic when two are known

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Practice: Solving an inequality with the unknown in the denominator

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Worked Example: The number of arrangements of n different objects in a row

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Practice: Arrangements when some of the objects are identical

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Show All Working: Arrangements of the letters of a given word

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

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Practice: Choosing a committee that must contain one particular person

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Final Revision: Combinations used with the addition and multiplication principles

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

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Practice: The equation of a line through a point with a given gradient

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Explain Back: The equation of the line through two given points

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Show All Working: Proving two given lines perpendicular from their gradients

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Common Mistakes: The angle between two lines found from their gradients

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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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Learn: The parabola y squared equals 4ax, with its focus and directrix

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