Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,333 prompts matching "Give me practice solving quadratic equations"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Spot my mistake in a combination calculation
I am in SS 3. I will show you my working for a combination problem. Check whether I used n
Subscribe to unlock allExplain back: difference between permutations and combinations
I am in SS 3. Let me explain in my own words why order matters for permutations but not fo
Subscribe to unlock allExpress x^2 + 10x - 3 in completed-square form
I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for
Subscribe to unlock allExpress x^2 - 14x + 20 in completed-square form
I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo
Subscribe to unlock allExpress x^2 + 5x + 1 in completed-square form
I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form
Subscribe to unlock allExpress 2x^2 - 8x + 3 in completed-square form
I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for
Subscribe to unlock allExpress x^2 - 9x + 4 in completed-square form
I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form
Subscribe to unlock allFind the remainder command word: cubic divided by a linear factor
I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by
Subscribe to unlock allEvaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
Subscribe to unlock allSpot my mistake: dividing a polynomial by long division
I am in SS 3. I will show you my full long division working for dividing a polynomial by a
Subscribe to unlock allWorked example: fully factorise x^3 - 7x + 6
I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely
Subscribe to unlock allWorked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
Subscribe to unlock allWorked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
Subscribe to unlock allCheck whether my exam layout would satisfy a Cambridge examiner
I am in SS 3. I will show you my working for one exam-style question covered so far. Tell
Subscribe to unlock allStructured question: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Subscribe to unlock allStructured question: stating the domain of the inverse of a fractional function
You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a
Subscribe to unlock allWAEC Prep: The commutative law for matrix addition
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the commutative la
Subscribe to unlock allWAEC Prep: Adding two 2 by 2 matrices entry by entry
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allWorked Example: Adding two 3 by 3 matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on adding
Subscribe to unlock allLearn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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