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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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784 prompts matching "Structured question: two quadratics sharing a common root"

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

Why simultaneous linear-quadratic systems can have two solutions

Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi

Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

Cambridge-style structured question: factorise x^2 + 9x + 20

Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^

Cambridge-style structured question: factorise x^2 - 11x + 24

Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^

Cambridge-style structured question: factorise x^2 + 3x - 28

Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^

Cambridge-style structured question: factorise 2x^2 + 9x + 4

Set me a Cambridge Additional Maths structured question that says 'Factorise completely 2x

Cambridge-style structured question: factorise 3x^2 - 11x + 6

Set me a Cambridge Additional Maths structured question that says 'Factorise completely 3x

Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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

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

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

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

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

Common Mistakes: Roots that are reciprocals of one another

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

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

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

Common Mistakes: Comparing two statements by their truth tables

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

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

IGCSE Additional Maths Y11: Writing a vector in terms of two base vectors — Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

IGCSE Additional Maths Y11: Finding the ratio in which two lines cut one another — Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

IGCSE Additional Maths Y11: A Cambridge-style question on two moving ships — Exam Technique

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

IGCSE Additional Maths Y11: Telling nPr from nCr in the wording of a question — Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

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