Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "The binomial expansion of a plus b all to the power n"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: differentiate y = (2x-1)(x+3) after expanding it first
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allWorked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allCambridge-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
Subscribe to unlock allForm a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Subscribe to unlock allTeach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Subscribe to unlock allProve command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Subscribe to unlock allStructured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
Subscribe to unlock allShow that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Subscribe to unlock allCommon Mistakes: Checking a completed square by expanding it again
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che
Subscribe to unlock allPractice: 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
Subscribe to unlock allCommon Mistakes: A word problem giving one linear and one quadratic equation
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w
Subscribe to unlock allFinal Revision: Checking both solutions in both equations
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Subscribe to unlock allFinal Revision: A word problem about a line and a parabola
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Subscribe to unlock allLearn: What makes an expression a polynomial
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol
Subscribe to unlock allPractice: A division that leaves no remainder
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha
Subscribe to unlock allExplain Back: A division that leaves a constant remainder
I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat
Subscribe to unlock allPractice: A cubic with one real root and two complex ones
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o
Subscribe to unlock allExplain Back: A cubic with a repeated root
I have just studied a cubic with a repeated root in my SS2 Further Mathematics class. Let
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