225 prompts matching "Inserting a geometric mean between two numbers"
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Summarise complex numbers for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Test me under exam conditions on complex numbers
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on co
Give me common mistakes students make in complex numbers
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
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
Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
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:
Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Real-life application of complex numbers
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple
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
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
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
Practice: Giving the roots correct to two decimal places
Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo
Show All Working: Choosing between factorising and the formula
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee
Spot My Mistake: A pair with equal roots, meaning one solution only
Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani
Quiz: The condition for two points of intersection
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Show All Working: Adding and subtracting two polynomials
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on adding and subt
Final Revision: The degree of the product of two polynomials
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of t
Spot My Mistake: Finding two coefficients from two remainder conditions
Act as my SS2 Further Mathematics tutor. Work a question on finding two coefficients from
Show All Working: A remainder of nought, and what it means
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a remainder of
Practice: Factorising a quartic as the product of two quadratics
Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a