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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,044 prompts matching "Simplifying the answer once the denominator is rational"

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

Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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

Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

Spot My Mistake: Completing the square when the roots are not real

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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

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

Spot My Mistake: The value of alpha over beta plus beta over alpha

Act as my SS2 Further Mathematics tutor. Work a question on the value of alpha over beta p

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

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

Explain Back: Writing the answers as ordered pairs

I have just studied writing the answers as ordered pairs in my SS2 Further Mathematics cla

Worked Example: The discriminant used as the test for intersection

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

Common Mistakes: Multiplying one polynomial by another

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

Learn: Setting out the division of a cubic by a linear expression

You are my personal SS2 Further Mathematics tutor. Teach me setting out the division of a

Worked Example: The division algorithm for polynomials

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

Common Mistakes: The degree of the quotient and of the remainder

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

Final Revision: Writing the result of a polynomial division out in full

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

Explain Back: Finding a coefficient when the remainder is given

I have just studied finding a coefficient when the remainder is given in my SS2 Further Ma

Common Mistakes: The remainder theorem applied to a quartic

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

Spot My Mistake: The factor theorem applied to a quartic

Act as my SS2 Further Mathematics tutor. Work a question on the factor theorem applied to

Common Mistakes: Using the factor theorem before dividing

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

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

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