Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,043 prompts matching "The law for a quotient raised to a power"
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: solve x^2+4x+13=0 giving the roots as complex numbers
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Subscribe to unlock allWorked example: find the determinant of [[5,2],[3,4]]
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Subscribe to unlock allWorked example: find the inverse of [[2,1],[5,3]]
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Subscribe to unlock allWorked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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Subscribe to unlock allWorked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: find the term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: find the coefficient of x^4 in the expansion of (1+3x)^7
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allGive me a 5-minute recap of completing the square
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square
Subscribe to unlock allGive me a 5-minute recap of the remainder theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the remainder theorem
Subscribe to unlock allGive me a 5-minute recap of tautologies
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of tautologies, covering
Subscribe to unlock allGive me a 5-minute recap of the binomial theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the binomial theorem,
Subscribe to unlock allGive me a 5-minute recap of vectors
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of vectors, covering onl
Subscribe to unlock allMulti-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Subscribe to unlock allMark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Subscribe to unlock allWord problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Subscribe to unlock allStructured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
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
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