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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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560 prompts matching "Testing two vectors for perpendicularity"

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

Practice: Arrangements of a word with repeated letters

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Learn: What makes a permutation cyclic

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Worked Example: The number of ways n people sit round a round table

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Quiz: Why one person is fixed in a circular arrangement

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Spot My Mistake: Arrangements round a table with men and women alternating

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Learn: Selecting a team of five from a squad

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Worked Example: Selections in which the order does not matter

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Practice: A selection that must include one particular member

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Spot My Mistake: A selection with at least a stated number of one kind

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Learn: Probability as favourable outcomes over total outcomes

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Worked Example: Counting the total outcomes with combinations

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Practice: The probability of drawing one ball of each colour

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Spot My Mistake: The probability that a committee contains a given person

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Learn: Building Pascal's triangle row by row

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Worked Example: Reading the coefficients of an expansion off Pascal's triangle

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Quiz: Expanding a bracket to the power four using Pascal's triangle

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Practice: The symmetry of a row of Pascal's triangle

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Spot My Mistake: Expanding a bracket with a minus sign inside it

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Worked Example: Finding the fifth term of an expansion

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Quiz: Finding the term in x cubed

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