1,022 prompts matching "Structured question: circle and line with an unknown intercept"
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Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
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
Worked example: find the equation of a circle with centre (2,-1) and radius 4
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Structured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
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
Structured question: quadratic formula with exact surd answer
I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa
Teach me solving a linear and a quadratic equation by substitution
You are my SS2 Further Mathematics tutor. Teach me solving a linear and a quadratic equati
Final Revision: A word problem about a line and a parabola
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Common Mistakes: Comparing a line arrangement with a circular one
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on com
Quiz me on line and curve intersection conditions
Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
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
Quiz: Finding the sum and the product without solving the equation
Act as my SS2 Further Mathematics tutor and quiz me on finding the sum and the product wit
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
Worked Example: Factorising a cubic into a linear and a quadratic factor
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor
Practice: A cubic with one real root and two complex ones
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o
Spot My Mistake: Arrangements round a table with men and women alternating
Act as my SS2 Further Mathematics tutor. Work a question on arrangements round a table wit
Explain Back: Probability with replacement and without replacement
I have just studied probability with replacement and without replacement in my SS2 Further
Spot My Mistake: Expanding a bracket with a minus sign inside it
Act as my SS2 Further Mathematics tutor. Work a question on expanding a bracket with a min