Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,302 prompts matching "An operation that is commutative but not associative"
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: equation of a circle from centre and a point
I am in SS 3. Set me a structured question where I am given the centre of a circle and a p
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 allWAEC exam question: mixed AP and GP problem
I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet
Subscribe to unlock allStructured question: the constant term in a binomial expansion
You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi
Subscribe to unlock allStructured question: find the equation of a tangent to a curve
I am in SS 3. Give me a structured question where I differentiate a curve's equation, find
Subscribe to unlock allWAEC exam question: rate of change problem
I am in SS 3. Give me a WAEC-style Further Maths question involving a rate of change, such
Subscribe to unlock allFind the range of values command word: increasing function
I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the
Subscribe to unlock allWAEC exam question: the converse, the inverse and the contrapositive
Act as my SS3 Further Mathematics examiner. Set me an exam-standard question on the conver
Subscribe to unlock allDetermine command word: validity of an argument
I am in SS 3. Give me an exam question phrased 'determine whether the following argument i
Subscribe to unlock allWAEC exam question: predicate logic quantifiers
I am in SS 3. Give me a WAEC-style question asking me to translate a statement using the u
Subscribe to unlock allQuiz me on logic symbols and their meanings
I am in SS 3. Quiz me by giving me logic symbols one at a time, such as negation, conjunct
Subscribe to unlock allSpot 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 allStructured question: binomial expansion with a negative term
I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking
Subscribe to unlock allWAEC exam question: full binomial expansion to a stated power
I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f
Subscribe to unlock allStructured question: fully factorise x^3 + 4x^2 - 11x - 30
I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi
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 allWAEC exam question: solving f(x) = c for an unknown x
I am in SS 3. Give me a WAEC-style function question where I am given f(x) and a target ou
Subscribe to unlock allRationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
Subscribe to unlock allShow that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Subscribe to unlock allProve that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
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