Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,320 prompts matching "Quiz: The sum of the first fifty natural numbers"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Structured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Subscribe to unlock allWAEC exam question: forming a quadratic equation from a word problem
I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe
Subscribe to unlock allSpot my mistake in a determinant expansion
I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si
Subscribe to unlock allShow all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Subscribe to unlock allExplain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Subscribe to unlock allComposite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Subscribe to unlock allSelf-inverse functions
I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct
Subscribe to unlock allOne-to-one versus many-to-one functions
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on the
Subscribe to unlock allWhy not every function has an inverse function
I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)
Subscribe to unlock allFunction machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Subscribe to unlock allStructured question: solve an exponential equation using indices
I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik
Subscribe to unlock allStructured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Subscribe to unlock allStructured question: solve a logarithmic equation with two conditions
I am in SS 3. Give me a structured question where I solve a logarithmic equation and must
Subscribe to unlock allShow that command word: logarithm laws
I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit
Subscribe to unlock allStructured question: prove a trigonometric identity
I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu
Subscribe to unlock allSolve for command word: quadratic trigonometric equation
I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,
Subscribe to unlock allStructured question: geometric progression with two given terms
I am in SS 3. Give me a structured geometric progression question where two non-consecutiv
Subscribe to unlock allShow that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Subscribe to unlock allGive me a full Additional Maths style Paper 1 question set
I am in SS 3. Give me a short set of five short-answer Additional Maths style Paper 1 ques
Subscribe to unlock allExplain back: converse and contrapositive
I am in SS 3. Let me explain in my own words the difference between the converse, the inve
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