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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,043 prompts matching "Why one component vanishes when the direction is chosen well"

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

Give me practice on sum and product of roots

Act as my SS2 Further Maths tutor. Give me eight practice questions on finding the sum and

Build a quadratic equation from given roots

Act as my SS2 Further Maths tutor. Teach me how to construct a quadratic equation when I a

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

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

Give me practice adding and subtracting polynomials

Act as my SS2 Further Maths tutor. Give me eight practice questions on adding and subtract

Explain polynomial addition back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to add and subtract po

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

Teach me how to solve cubic equations

Act as my SS2 Further Maths tutor. Teach me how to solve a cubic equation by first using t

Give me practice solving cubic equations

Act as my SS2 Further Maths tutor. Give me six practice cubic equations to solve completel

Sum and product of roots of a cubic equation

Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o

Teach me compound statement symbols

Act as my SS2 Further Maths tutor. Teach me the standard symbols used for compound stateme

Explain propositions back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between a p

Give me practice constructing truth tables

Act as my SS2 Further Maths tutor. Give me five compound statements combining negation, co

Explain truth tables back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to build a truth table

Worked example: converse and inverse of a statement

Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a

Quiz me on converse and inverse

Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as

Teach me biconditional propositions

Act as my SS2 Further Maths tutor. Teach me what a biconditional proposition is, using the

Teach me logically equivalent propositions

Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit

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