Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →416 prompts matching "Squaring both sides safely when solving a surd equation"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Find 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: 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 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 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 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
Subscribe to unlock allSolve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Subscribe to unlock allSolve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f
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 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
Subscribe to unlock allFind the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
Subscribe to unlock allGive me an exam formula sheet for quadratic inequalities
I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua
Subscribe to unlock allGive me a past-paper style question bank for quadratic factorisation
I am in SS 3. Give me a bank of four exam-style questions on factorising quadratic trinomi
Subscribe to unlock allGive me a past-paper style question bank for completing the square
I am in SS 3. Give me a bank of four exam-style questions on completing the square, rangin
Subscribe to unlock allGive me a past-paper style question bank for the quadratic formula
I am in SS 3. Give me a bank of four exam-style questions on using the quadratic formula,
Subscribe to unlock allGive me a past-paper style question bank for sum and product of roots
I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran
Subscribe to unlock allGive me a past-paper style question bank for line and curve tangency conditions
I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t
Subscribe to unlock allGive me a past-paper style question bank for polynomial operations
I am in SS 3. Give me a bank of four exam-style questions on adding, subtracting and divid
Subscribe to unlock allGive me a past-paper style question bank for the remainder theorem
I am in SS 3. Give me a bank of four exam-style questions on the remainder theorem, rangin
Subscribe to unlock allGive me a past-paper style question bank for the factor theorem
I am in SS 3. Give me a bank of four exam-style questions on the factor theorem, ranging f
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