Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,321 prompts matching "Factorising fully, and knowing when to stop"
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: 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 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 allExpress x^2 + 10x - 3 in completed-square form
I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for
Subscribe to unlock allExpress x^2 - 14x + 20 in completed-square form
I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo
Subscribe to unlock allExpress x^2 + 5x + 1 in completed-square form
I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form
Subscribe to unlock allExpress 2x^2 - 8x + 3 in completed-square form
I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for
Subscribe to unlock allExpress x^2 - 9x + 4 in completed-square form
I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form
Subscribe to unlock allStructured question: three linked function sub-questions
I am in SS 3. Give me a structured question with three parts on the same pair of functions
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 allSolve 2^(3x-1) = 16 with full working
I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style
Subscribe to unlock allSolve 5^(x+2) = 125^(x-1) with full working
I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio
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 allStructured question: circle centre (3,-2) radius 5
I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius
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 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 allFind the range of x for which y = x^3 - 3x is increasing
I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range
Subscribe to unlock allGive me an exam formula sheet for polynomial operations
I am in SS 3. Build me a short formula sheet covering every formula I need for adding, sub
Subscribe to unlock allGive me an exam formula sheet for functions
I am in SS 3. Build me a short formula sheet covering every formula I need for composite a
Subscribe to unlock allGive me an exam formula sheet for surds
I am in SS 3. Build me a short formula sheet covering every formula I need for simplifying
Subscribe to unlock allGive me an exam formula sheet for coordinate geometry
I am in SS 3. Build me a short formula sheet covering every formula I need for lines and c
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