505 prompts matching "A geometric progression with a negative common ratio"
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Simplify the surd expression 5/(1+sqrt3)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra
Simplify the surd expression (2+sqrt5)^2
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
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+
Structured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
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
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
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
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
Quiz: Factorising a difference of two squares in order to solve it
Act as my SS2 Further Mathematics tutor and quiz me on factorising a difference of two squ
Spot My Mistake: Solving a quadratic that must be rearranged before factorising
Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must
Final Revision: A word problem solved by factorising a quadratic
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Learn: Making the coefficient of x squared equal to one first
You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq
Quiz: Completing the square on x squared plus 6x
Act as my SS2 Further Mathematics tutor and quiz me on completing the square on x squared
Spot My Mistake: Completing the square when the roots are not real
Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the