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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,020 prompts matching "Solving a surd equation with terms on both sides"

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

Teach me composite functions

Teach me what a composite function fg(x) means and how to find it, using function notation

Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

Worked Example: Factorising a quadratic whose leading coefficient is not one

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

Common Mistakes: Writing down the roots once the brackets are found

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Common Mistakes: Checking a completed square by expanding it again

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Common Mistakes: A sign error in the formula, and how to catch it

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s

Common Mistakes: Roots that are reciprocals of one another

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Common Mistakes: A symmetric function needing the sum and product twice over

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Practice: Finding the matching value of the second unknown

Act as my SS2 Further Mathematics tutor. Give me five practice questions on finding the ma

Worked Example: The discriminant used as the test for intersection

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Practice: The condition for the line to be a tangent

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the condition

Explain Back: The condition for the line never to meet the curve

I have just studied the condition for the line never to meet the curve in my SS2 Further M

Show All Working: The point of contact when a line touches a curve

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the point of co

Worked Example: The degree of a polynomial in one variable

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Practice: Polynomial notation such as P of x

Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not

Common Mistakes: Multiplying one polynomial by another

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Worked Example: The division algorithm for polynomials

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Practice: A division that leaves no remainder

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha

Explain Back: A division that leaves a constant remainder

I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat

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