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Further Mathematics

AI prompts for senior secondary learners.

πŸ“… 36-Week WAEC Study Guide for Further Mathematics β†’
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1,045 prompts matching "Learn: The angle between a vector and one of the axes"

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IGCSE Additional Maths Y11: The area between a curve and a straight line β€” 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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Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

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Quiz me on the sum and product of the roots of a cubic

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin

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Explain the difference between remainder and factor theorem

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Worked example: find the equation of the line through (2,3) and (5,9)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the distance between the points (1,2) and (4,6)

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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Worked example: find the modulus and argument of 3+4i

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Find the range of values command word: quadratic inequality

I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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Worked Example: The degree of a polynomial in one variable

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the de

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Common Mistakes: The degree of the quotient and of the remainder

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WAEC Prep: The relation between the roots and the constant term

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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IGCSE Additional Maths Y11: The exact ratios of 30, 45 and 60 degrees β€” IGCSE Exam Practice

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a past-paper-st

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IGCSE Additional Maths Y11: The ratios of 0, 90, 180 and 270 degrees β€” Show All Working

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on t

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