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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,044 prompts matching "The dot product worked out from components"

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

Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

Find the range of values command word: quadratic inequality

I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'

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

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

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

Show All Working: Completing the square with a fractional coefficient of x

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

Final Revision: Why completing the square always works

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

Spot My Mistake: What the formula gives when the discriminant is nought

Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th

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

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

Final Revision: A word problem solved with the quadratic formula

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

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

Final Revision: One root twice the other, and what that gives

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

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

Show All Working: A simultaneous pair in which the second equation is a circle

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous

Spot My Mistake: Finding the values of c for which a line is a tangent

Act as my SS2 Further Mathematics tutor. Work a question on finding the values of c for wh

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

Common Mistakes: Multiplying one polynomial by another

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

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

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