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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 "Writing a solution set in interval notation"

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

Common sign errors in algebraic manipulation

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Common mistakes with composite and inverse functions

Teach me the most common mistakes SS1 students make with composite and inverse functions,

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Learn: Telling a rational number from an irrational one

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

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WAEC Prep: Ordering a list of surds by size

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Show All Working: Deciding whether two given surds are equal without a calculator

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

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Learn: Simplifying root 72 into its simplest form

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Worked Example: Adding two surds that simplify to the same root

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WAEC Prep: Squaring a single surd

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Show All Working: Simplifying a surd expression that contains brackets

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Common Mistakes: Expanding the product of two surd brackets

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Learn: Why a surd is never left in the denominator

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Worked Example: Rationalising a denominator that is a single surd

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WAEC Prep: Rationalising a denominator inside a larger expression

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Show All Working: Checking a rationalised answer by decimal approximation

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Worked Example: Why multiplying by the conjugate clears the surd

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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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