Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →2,800 prompts matching "statics and equilibrium"
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Subscribe to unlock allHence solve command word: cubic equations
Set me a 'hence solve' cubic equation question where I must use a factorisation I am given
Subscribe to unlock allSum and product of roots of a cubic exam question
Give me a Cambridge-style question asking for the sum or product of the roots of a cubic e
Subscribe to unlock allShow that command word: surd simplification
I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp
Subscribe to unlock allShow that command word: logarithm laws
I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit
Subscribe to unlock allShow that command word: three points are collinear
I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi
Subscribe to unlock allShow that command word: binomial coefficient identity
I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi
Subscribe to unlock allFind the range of values command word: increasing function
I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the
Subscribe to unlock allShow that command word: a function is its own inverse
I am in SS 3. Set me a 'show that' function question where I must show a given function is
Subscribe to unlock allFind and classify the stationary points of y = x^3 - 6x^2 + 9x + 1
I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/
Subscribe to unlock allGive me an exam formula sheet for line and curve tangency conditions
I am in SS 3. Build me a short formula sheet covering every formula I need for conditions
Subscribe to unlock allFind the moment of a force about a point #3
I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d
Subscribe to unlock allExplain the polygon of forces
I am in SS 3. Explain what the polygon of forces method is and how it shows several concur
Subscribe to unlock allMultiplication law of indices
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on the
Subscribe to unlock allDivision law of indices
I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div
Subscribe to unlock allPower of a power rule
I am in SS 1. Quiz me with 3 short Additional Maths questions on the power-of-a-power rule
Subscribe to unlock allZero index rule
I am in SS 1. I'm going to explain the zero index rule, showing why any nonzero number rai
Subscribe to unlock allNegative indices as fractions
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on nega
Subscribe to unlock allNegative indices in algebraic fractions
I am in SS 1. I attempted an Additional Maths question on simplifying an algebraic express
Subscribe to unlock allFractional indices as roots
I am in SS 1. Teach me fractional indices, converting between root form and index form, su
Subscribe to unlock all