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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 "Finding the remaining roots once one is known"

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

Locus problem: points equidistant from two fixed points

I am in SS 1. Quiz me with 3 short Additional Maths questions on a locus-style coordinate

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Full worked exam-style problem combining gradient, distance and midpoint

I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r

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Factorising by grouping four terms

I am in SS 1. Teach me factorising an expression with four terms by grouping them in pairs

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Simplifying an algebraic fraction by factorising first

I am in SS 1. Teach me simplifying an algebraic fraction by factorising both the numerator

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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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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

You are my personal SS1 Further Mathematics tutor. Teach me telling a rational number from

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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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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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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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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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Learn: What a binary operation actually is

You are my personal SS1 Further Mathematics tutor. Teach me what a binary operation actual

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Final Revision: Why brackets matter when an operation is not associative

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

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Quiz: Left distributivity and right distributivity

Act as my SS1 Further Mathematics tutor and quiz me on left distributivity and right distr

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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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Spot My Mistake: Checking distributivity from two operation tables

Act as my SS1 Further Mathematics tutor. Work a question on checking distributivity from t

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Learn: What an identity element is

You are my personal SS1 Further Mathematics tutor. Teach me what an identity element is fr

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Explain Back: What an inverse element is

I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me

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