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Further Mathematics

AI prompts for senior secondary learners.

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1,032 prompts matching "Show that command word: sum of an arithmetic progression"

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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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Worked example: word problem leading to a quadratic

Act as my SS2 Further Maths tutor. Show me a full worked example of a word problem that le

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Worked example: probability of selecting a committee

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

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Teach me the binomial expansion formula

Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c

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Teach me arithmetic progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

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Summarise quadratic equations for quick revision

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Summarise propositional logic for quick revision

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Summarise the binomial theorem for quick revision

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Summarise complex numbers for quick revision

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Summarise matrices for quick revision

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Summarise vectors for quick revision

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Summarise coordinate geometry for quick revision

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Summarise differentiation for quick revision

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Summarise surds for quick revision

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Real-life application of measures of dispersion

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where measur

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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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Show All Working: A quadratic whose two roots are both negative

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who

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Common Mistakes: Checking a completed square by expanding it again

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Common Mistakes: A sign error in the formula, and how to catch it

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Show All Working: Roots equal in magnitude but opposite in sign

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in

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