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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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459 prompts matching "proving a statement is a tautology"

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

Proving a surd statement is true or false

I am in SS 1. I attempted an Additional Maths question on proving whether a given surd sta

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Common Mistakes: Proving the sum formula by pairing the terms

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on pro

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IGCSE Additional Maths Y10: Proving that a quadratic expression is always positive — Show All Working

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on p

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IGCSE Additional Maths Y10: Proving that a triangle is right-angled using gradients — Exam Technique

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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Final Revision: Proving a logarithmic identity from the laws

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

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Final Revision: Proving the sum formula for a geometric progression

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

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Using sets to test simple logical statements

I am in SS 1. Quiz me with 4 short Additional Maths questions on using sets to test whethe

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Division law of indices

I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div

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Rationalising a denominator with a single surd

I am in SS 1. Quiz me with 4 short Additional Maths questions on rationalising a denominat

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Rationalising a denominator with a surd and integer

I am in SS 1. I'm going to explain rationalising a denominator such as 6 divided by (2 roo

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Rationalising using the conjugate

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

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Rationalising a more complex conjugate denominator

I am in SS 1. I attempted an Additional Maths question on rationalising a fraction with a

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Surds arising from Pythagoras' theorem

I am in SS 1. Quiz me with 4 short Additional Maths questions on a Pythagoras' theorem que

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Distinguishing rational and irrational numbers

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Rationalising and then simplifying fully

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

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Rationalising the denominator when it's a surd minus a surd

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Explaining why we rationalise denominators

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Common surd mistakes to watch out for

Quiz me with 4 short Additional Maths questions on the most common mistakes SS1 Further Ma

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Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

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Surds in a coordinate geometry distance calculation

I am in SS 1. Teach me a coordinate geometry question where applying the distance formula

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