Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,331 prompts matching "Checking the sum and product against the solved roots"
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 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 allEvaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
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 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 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 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
Subscribe to unlock allGive me an exam formula sheet for propositional logic
I am in SS 3. Build me a short formula sheet covering every formula I need for proposition
Subscribe to unlock allGive me an exam formula sheet for differentiation basics
I am in SS 3. Build me a short formula sheet covering every formula I need for differentia
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 solving quadratics by factorisation
I am in SS 3. Give me a bank of four exam-style questions on solving quadratic equations b
Subscribe to unlock allGive me a past-paper style question bank for quadratic inequalities
I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie
Subscribe to unlock allGive me a past-paper style question bank for linear-quadratic simultaneous equations
I am in SS 3. Give me a bank of four exam-style questions on linear-quadratic simultaneous
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
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