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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 "Structured question: circle and line with an unknown intercept"

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

Simplifying nested surds

I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su

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Solving for x when three terms are in arithmetic progression

I am in SS 1. I attempted an Additional Maths question on finding the value of x given tha

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Subtracting two algebraic fractions

I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno

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Dividing algebraic fractions

I am in SS 1. I attempted an Additional Maths question on dividing one algebraic fraction

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

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th

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Practice: Deciding whether root 16 is rational or irrational

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Worked Example: What makes two surds equal

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

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

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Practice: Multiplying a whole number by a surd

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Worked Example: Rationalising a denominator that is a single surd

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

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Common Mistakes: Rationalising when both terms of the denominator are surds

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

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Common Mistakes: A surd equation that has no real solution

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Worked Example: Reading the symbol used for a binary operation

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Practice: A binary operation set out as a table

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Common Mistakes: A binary operation that is ordinary addition in disguise

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