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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 condition for a geometric series to converge"

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

Common mistakes in coordinate geometry formulas

Teach me the most common mistakes SS1 students make with coordinate geometry formulas, suc

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Coordinate geometry applied to a triangle's area check

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

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Changing the subject when the variable appears twice

I am in SS 1. Teach me changing the subject of a formula where the required letter appears

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Algebraic long division of a simple polynomial by a linear factor

I am in SS 1. Quiz me with 4 short Additional Maths questions on dividing a simple cubic e

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Quiz me rapid-fire on expanding and factorising

I am in SS 1. I'm going to explain a rapid-fire quiz alternating between expanding a brack

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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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Quiz: Writing a recurring decimal as a fraction to show it is rational

Act as my SS1 Further Mathematics tutor and quiz me on writing a recurring decimal as a fr

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Practice: Deciding whether root 16 is rational or irrational

Act as my SS1 Further Mathematics tutor. Give me five practice questions on deciding wheth

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

Act as my SS1 Further Mathematics tutor. Work a question on the decimal expansion of an ir

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

Act as my SS1 Further Mathematics tutor. Work a question on why root 8 and root 2 turn out

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Quiz: Subtracting one surd from another

Act as my SS1 Further Mathematics tutor and quiz me on subtracting one surd from another.

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Spot My Mistake: Dividing one surd by another

Act as my SS1 Further Mathematics tutor. Work a question on dividing one surd by another w

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Worked Example: Rationalising a denominator that is a single surd

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

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Learn: The conjugate of a compound surd expression

You are my personal SS1 Further Mathematics tutor. Teach me the conjugate of a compound su

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Worked Example: Why multiplying by the conjugate clears the surd

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

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Quiz: Checking a surd equation for extraneous roots

Act as my SS1 Further Mathematics tutor and quiz me on checking a surd equation for extran

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Spot My Mistake: Solving a surd equation that leads to a quadratic

Act as my SS1 Further Mathematics tutor. Work a question on solving a surd equation that l

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Learn: What closure means for a binary operation

You are my personal SS1 Further Mathematics tutor. Teach me what closure means for a binar

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Practice: Testing a set for closure under multiplication

Act as my SS1 Further Mathematics tutor. Give me five practice questions on testing a set

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Worked Example: Testing a*b against b*a for a given rule

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

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