Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,325 prompts matching "A word problem solved with the quadratic formula"
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 (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 allStructured question: line through (1,4) and (5,-2)
I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and
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 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 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 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 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 cubic equations
I am in SS 3. Give me a bank of four exam-style questions on solving cubic equations, rang
Subscribe to unlock allGive me a past-paper style question bank for functions
I am in SS 3. Give me a bank of four exam-style questions on composite and inverse functio
Subscribe to unlock allGive me a past-paper style question bank for indices
I am in SS 3. Give me a bank of four exam-style questions on the laws of indices at Furthe
Subscribe to unlock allGive me a past-paper style question bank for surds
I am in SS 3. Give me a bank of four exam-style questions on simplifying and rationalising
Subscribe to unlock allGive me a past-paper style question bank for logarithms
I am in SS 3. Give me a bank of four exam-style questions on the laws of logarithms, rangi
Subscribe to unlock allGive me a past-paper style question bank for coordinate geometry
I am in SS 3. Give me a bank of four exam-style questions on lines and circles in coordina
Subscribe to unlock allGive me a past-paper style question bank for trigonometric identities and equations
I am in SS 3. Give me a bank of four exam-style questions on proving identities and solvin
Subscribe to unlock allGive me a past-paper style question bank for sequences and series
I am in SS 3. Give me a bank of four exam-style questions on arithmetic and geometric prog
Subscribe to unlock allGive me a past-paper style question bank for propositional logic
I am in SS 3. Give me a bank of four exam-style questions on propositions, truth tables an
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