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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "IGCSE Additional Maths Y10: The vertical line test for a function — Show All Wor"

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Explain Back: A polynomial with a repeated linear factor

I have just studied a polynomial with a repeated linear factor in my SS2 Further Mathemati

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

Quiz me on checking both pairs of solutions of a linear-quadratic pair

Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac

Spot my mistake in a linear-quadratic system

Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra

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

Teach me conditions for a line and a curve to intersect

Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line

Worked example: is this line tangent to this curve

Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's

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

Give me practice on tangent lines to curves

Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio

Explain line-curve intersection conditions back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the discriminan

Worked example: dividing a cubic by a linear polynomial

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

Spot my mistake testing logical equivalence

Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test

Worked example: testing an argument for validity

Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic

Give me practice testing argument validity

Act as my SS2 Further Maths tutor. Give me five logical arguments and ask me to test each

Spot my mistake testing an argument

Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth

Teach me the distance and midpoint formulas

Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an

Worked example: finding where a line meets a circle

Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig

Spot my mistake finding a line's equation

Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi

Summarise polynomials and the remainder/factor theorems for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

Summarise the binomial theorem for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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