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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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760 prompts matching "Structured question: curve sketching using stationary points"

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

WAEC question on measures of dispersion

Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question on fi

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Create flashcard questions for Further Maths topics

Act as my SS2 Further Maths tutor. Create ten flashcard-style question-and-answer pairs co

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

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

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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

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

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)

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 angle between the vectors (1,2) and (3,-1) using the dot product

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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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: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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

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Real-life application of probability using combinatorics

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

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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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Multi-part exam question on factorising trinomials

I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks

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Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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WAEC-style multi-mark question on completing the square

I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four

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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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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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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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Final Revision: A factor theorem question set in the WAEC style

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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Final Revision: A question asking for two coefficients to be equal

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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IGCSE Additional Maths Y11: A Cambridge-style permutation question with a restriction — Exam Technique

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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