Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,034 prompts matching "Showing a set is not closed by a single counter-example"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show that command word: surd simplification
I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp
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 allShow that command word: three points are collinear
I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi
Subscribe to unlock allShow that command word: trigonometric identity
I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear
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 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 allFind the coefficient command word: binomial expansion
I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia
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 allStructured question: find and classify all stationary points
I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta
Subscribe to unlock allStructured question: converse, inverse, and contrapositive together
I am in SS 3. Set me a structured question where, for one given conditional statement, I m
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 allWAEC exam question: testing an argument with a truth table
I am in SS 3. Give me a WAEC Further Maths exam question with a two-premise argument, and
Subscribe to unlock allStructured question: choosing a committee with a condition
I am in SS 3. Set me a structured combinations question where a committee must be chosen f
Subscribe to unlock allShow all your working command word: permutation problem
I am in SS 3. Give me a permutation exam question that instructs 'show all your working',
Subscribe to unlock allStructured question: permutation versus combination in one paper
I am in SS 3. Give me a structured two-part question where part (a) requires a permutation
Subscribe to unlock allFind the number of ways command word: combinations
I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin
Subscribe to unlock allStructured question: probability using combinations, exam style
I am in SS 3. Give me a structured question where I must find a probability by dividing th
Subscribe to unlock allStructured question: use Pascal's triangle to expand a binomial
I am in SS 3. Give me a structured question where I must write out the relevant row of Pas
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
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