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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 "Give me an exam formula sheet for differentiation basics"

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

Explaining the difference between an expression and an equation

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on expl

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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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Worked Example: Why the square root of a non-square whole number is irrational

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WAEC Prep: Pi and root 2 as the two best-known irrational numbers

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Worked Example: What makes two surds equal

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Practice: Collecting similar surds in an expression

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

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Worked Example: Rationalising a denominator that is a single surd

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Worked Example: Why multiplying by the conjugate clears the surd

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Worked Example: Squaring both sides safely when solving a surd equation

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Practice: Solving an equation with a surd on each side

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WAEC Prep: Equating the rational and the irrational parts of an equation

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Quiz: Evaluating a*b from a given rule

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Practice: Testing a set for closure under multiplication

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

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WAEC Prep: An operation that is commutative but not associative

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Worked Example: Testing whether star distributes over plus

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Practice: Multiplication distributing over addition in ordinary arithmetic

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WAEC Prep: The inverse of the identity element itself

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