Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,320 prompts matching "IGCSE Additional Maths Y11: The derivative of tan x — Quiz Me"
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Prove that tanx + 1/tanx = 1/(sinx cosx)
I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu
Subscribe to unlock allDifferentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1
I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q
Subscribe to unlock allSpot my mistake: checking each line of a trigonometric identity proof
I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f
Subscribe to unlock allExplain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Subscribe to unlock allNon-calculator paper: exact value question on sum and product of roots
I am in SS 3. Give me a non-calculator sum and product of roots question where the final a
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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Quiz: The zero matrix as the identity for matrix addition
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for
Subscribe to unlock allSpot My Mistake: Orders that make a product possible one way round but not the other
Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos
Subscribe to unlock allQuiz: The zero matrix, and how it differs from nought in arithmetic
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Subscribe to unlock allPractice: The condition on the orders for a product to exist
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition
Subscribe to unlock allLearn: Deciding whether a stated matrix calculation is possible at all
You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr
Subscribe to unlock allSpot My Mistake: Forming the determinant Dx by replacing the first column
Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by
Subscribe to unlock allWorked Example: Forming the determinant Dy by replacing the second column
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Subscribe to unlock allWorked Example: The identity that A times its adjoint gives the determinant times the identity
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Subscribe to unlock allLearn: Swapping and negating the entries when inverting a 2 by 2 matrix
You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr
Subscribe to unlock allQuiz: Checking an inverse by multiplying to get the identity
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Subscribe to unlock allSpot My Mistake: Why the inverse must be applied on the correct side
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Subscribe to unlock allPractice: What a singular coefficient matrix says about the equations
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Subscribe to unlock allPractice: Comparing the inverse method with elimination for three equations
Act as my SS3 Further Mathematics tutor. Give me five practice questions on comparing the
Subscribe to unlock allQuiz: Why mass stays the same wherever the body is taken
Act as my SS3 Further Mathematics tutor and quiz me on why mass stays the same wherever th
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