Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,319 prompts matching "A selection with at most a stated number of one kind"
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: trigonometric identity
I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear
Subscribe to unlock allNon-calculator paper: exact trigonometric values
I am in SS 3. Give me a non-calculator Additional Maths question requiring exact trigonome
Subscribe to unlock allStructured question: find the nth term and a specific term of an AP
I am in SS 3. Give me a structured arithmetic progression question where I first find the
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: 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 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 allStructured question: two compound statements compared row by row
I am in SS 3. Give me a structured question where I must build truth tables for two differ
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 allQuiz me on nPr versus nCr notation
I am in SS 3. Quiz me on when to use nPr and when to use nCr, giving me short scenarios an
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 allSolve log2(x+1) + log2(x-1) = 3 with full working
I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e
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
Subscribe to unlock allProve 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 allAP with 3rd term 11 and 8th term 31: find a and d
I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1
Subscribe to unlock allGP with 3rd term 18 and 6th term 486: find a and r
I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18
Subscribe to unlock allFind the sum of the first 15 terms of an AP
I am in SS 3. Give me a structured question where I am given the first term and common dif
Subscribe to unlock allShow that a geometric series converges and find its sum to infinity
I am in SS 3. Give me a structured question where I must first show a given geometric seri
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
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