Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Non-calculator paper: simplify an index expression
I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify
Subscribe to unlock allStructured question: perpendicular bisector of a line segment
I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr
Subscribe to unlock allShow that command word: line is tangent to a circle
I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry
Subscribe to unlock allStructured question: solve a trig equation for all solutions in range
I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an
Subscribe to unlock allStructured question: use binomial expansion to approximate a value
I am in SS 3. Give me a structured question where I expand a binomial expression and then
Subscribe to unlock allStructured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
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: 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
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: fully factorise x^3 - 2x^2 - 5x + 6
I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest
Subscribe to unlock allStructured question: unknown coefficient from a factor condition
I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a
Subscribe to unlock allWAEC exam question: two unknowns from remainder and factor conditions
I am in SS 3. Give me a WAEC-style polynomial question where a cubic has two unknown coeff
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 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 allStructured question: perpendicular bisector of (2,1) and (-4,7)
I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi
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