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Further Mathematics

AI prompts for senior secondary learners.

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834 prompts matching "Show that command word: laws of indices"

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

IGCSE Additional Maths Y11: Evaluating a definite integral with numerical limits — Teach Me

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Teach me evaluating a

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IGCSE Additional Maths Y11: The area between a curve and a straight line — Teach Me

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I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Teach me the area between a curve and a straight line the way the syllabus presents it, using its command words such as 'show that' and 'hence'. Work one example through step by step, then set me a short question in the same style.

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Teach me solving quadratic equations by factorisation

Act as my SS2 Further Maths tutor. Teach me the full method for solving a quadratic equati

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WAEC exam question on quadratic equations

Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics style question that r

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Explain completing the square back to me

Act as my SS2 Further Maths tutor. I'll explain the completing the square method back to y

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Worked example: truth table for a compound statement

Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth

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Worked example: proving two statements are logically equivalent

Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo

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Teach me what a tautology is

Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi

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Worked example: proving a statement is a tautology

Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to

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Explain argument validity back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi

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Worked example: solving a quadratic trigonometric equation

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri

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Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

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Solve the logarithmic equation log2(x) + log2(x-2) = 3

Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =

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Solve the logarithmic equation log(x+1) - log(x-1) = 2

Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =

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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +

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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Common Mistakes: Writing down the roots once the brackets are found

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on wri

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Common Mistakes: Checking a completed square by expanding it again

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che

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