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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 identity matrix, and what it does in a product"

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

Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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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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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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Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

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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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Practice: The value of alpha to the fourth plus beta to the fourth

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a

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Practice: A division that leaves no remainder

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha

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Practice: Showing that x plus 3 is a factor of a given polynomial

Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that x

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Show All Working: Solving a cubic that must first be rearranged

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

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Worked Example: Sentences that are not propositions

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Show All Working: Translating an English sentence into logical symbols

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

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Worked Example: What a contradiction is

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Practice: Showing that a statement is a tautology

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Worked Example: Premises and conclusion

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Practice: A selection that must include one particular member

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a selection th

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Practice: The symmetry of a row of Pascal's triangle

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the symmetry o

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Worked example: factorising a harder trinomial

Act as my SS2 Further Maths tutor. Show me a full worked example of factorising a quadrati

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Derive the quadratic formula

Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form

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Worked example: solving x^3-6x^2+11x-6=0

Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic

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