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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,041 prompts matching "Dividing a line segment in a given ratio"

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

Explain line-curve intersection conditions back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the discriminan

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Quiz me on the finding the remainder when a cubic is divided by a linear factor

Act as my SS2 Further Mathematics tutor and quiz me on finding the remainder when a cubic

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Teach me rationalising the denominator

Act as my SS2 Further Maths tutor. Teach me how to rationalise a denominator containing a

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Worked example: rationalising a binomial surd denominator

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Worked example: finding where a line meets a circle

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

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Spot my mistake finding a line's equation

Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi

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Spot my mistake dividing two complex numbers in modulus-argument form

Act as my SS2 Further Mathematics tutor. Work a question on dividing two complex numbers i

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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

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 100 and common ratio 0.5, find the sum to infinity

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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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 midpoint of the segment joining (-3,5) and (7,-1)

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Real-life application of the condition for a line to be tangent to a curve

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

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Cambridge-style structured question: line meets a curve

I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute

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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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Learn: Making one unknown the subject of the linear equation

You are my personal SS2 Further Mathematics tutor. Teach me making one unknown the subject

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Learn: Forming the quadratic that decides where a line meets a curve

You are my personal SS2 Further Mathematics tutor. Teach me forming the quadratic that dec

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