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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The sum of the terms lying between two given positions"

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

Worked example: expand (x+2)^5 fully using the binomial theorem

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

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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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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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Structured question: find coordinates of intersection points

I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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Learn: Factorising a quadratic whose coefficient of x squared is one

You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose

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

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Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

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

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

Act as my SS2 Further Mathematics tutor. Work a question on finding a missing coefficient

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Learn: What makes an expression in the roots symmetric

You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression in th

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Show All Working: A simultaneous pair in which the second equation is a circle

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

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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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Common Mistakes: A line and a curve meeting once without the line being a tangent

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

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Practice: Polynomial notation such as P of x

Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not

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Show All Working: Synthetic division as a shorter route

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

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Spot My Mistake: Finding two coefficients from two remainder conditions

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Show All Working: A remainder of nought, and what it means

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

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