Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,227 prompts matching "Common mistakes with composite and inverse functions"
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: three-part algebra question mixing methods
I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati
Subscribe to unlock allStructured question: fully factorise x^3 + 4x^2 - 11x - 30
I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi
Subscribe to unlock allSimplify (8^(2/3) times 4^(-1/2)) fully
I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2
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 allShow 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: 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 quadratic factorisation
I am in SS 3. Build me a short formula sheet covering every formula I need for factorising
Subscribe to unlock allGive me an exam formula sheet for solving quadratics by factorisation
I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua
Subscribe to unlock allGive me an exam formula sheet for completing the square
I am in SS 3. Build me a short formula sheet covering every formula I need for completing
Subscribe to unlock allGive me an exam formula sheet for the quadratic formula
I am in SS 3. Build me a short formula sheet covering every formula I need for using the q
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 an exam formula sheet for linear-quadratic simultaneous equations
I am in SS 3. Build me a short formula sheet covering every formula I need for linear-quad
Subscribe to unlock allGive me an exam formula sheet for the remainder theorem
I am in SS 3. Build me a short formula sheet covering every formula I need for the remaind
Subscribe to unlock allGive me an exam formula sheet for the factor theorem
I am in SS 3. Build me a short formula sheet covering every formula I need for the factor
Subscribe to unlock allGive me an exam formula sheet for cubic equations
I am in SS 3. Build me a short formula sheet covering every formula I need for solving cub
Subscribe to unlock allGive me an exam formula sheet for indices
I am in SS 3. Build me a short formula sheet covering every formula I need for the laws of
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