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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "The dot product of a vector with itself"

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

Show All Working: Classifying a mixed list of numbers as rational or irrational

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on classifying a m

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Quiz: Reducing two surds to the same root in order to compare them

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Common Mistakes: Expressing root 50 as a multiple of root 2

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Quiz: Subtracting one surd from another

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Spot My Mistake: Dividing one surd by another

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Spot My Mistake: Rationalising and then cancelling a common factor

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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WAEC Prep: Expressing the answer in the form a plus b root c

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Show All Working: A conjugate where the surd term comes first

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Practice: Solving an equation with a surd on each side

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Quiz: Testing the odd numbers for closure under addition

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WAEC Prep: A set closed under one operation but not another

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Common Mistakes: Closure on a set of three elements under a stated rule

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Practice: An operation that is not commutative, with a counter-example

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Common Mistakes: Distributivity on a set of three elements

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Quiz: Finding the identity element from an operation table

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Common Mistakes: Checking an inverse by working the operation both ways

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Spot My Mistake: The law for a quotient raised to a power

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Common Mistakes: Why the index laws need the bases to match

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Practice: A fractional index with numerator one, read as a root

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