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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Structured question: find the equation of a normal to a curve"

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

Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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

Final Revision: A word problem solved by factorising a quadratic

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

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

Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

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

Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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

Learn: What makes an expression in the roots symmetric

You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression in th

Show All Working: Forming an equation whose roots are three alpha and three beta

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

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

Learn: Forming the quadratic that decides where a line meets a curve

You are my personal SS2 Further Mathematics tutor. Teach me forming the quadratic that dec

Common Mistakes: A line and a curve meeting once without the line being a tangent

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

Practice: Polynomial notation such as P of x

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

Explain Back: Evaluating P of 2 for a given polynomial

I have just studied evaluating P of 2 for a given polynomial in my SS2 Further Mathematics

Common Mistakes: Multiplying one polynomial by another

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

Spot My Mistake: Finding two coefficients from two remainder conditions

Act as my SS2 Further Mathematics tutor. Work a question on finding two coefficients from

Final Revision: A word problem that uses the remainder theorem

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

Learn: Factorising a cubic into three linear factors

You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three

Show All Working: Factorising a polynomial with fractional roots

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

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