Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,321 prompts matching "Practice: Finding the eighth term of a given geometric progression"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve 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 allShow that (1,2), (3,6), and (5,10) are collinear
I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,
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 allSpot my mistake: forming a quadratic equation from its roots
Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f
Subscribe to unlock allSpot my mistake: solving an exponential equation
I am in SS 3. I will show you my working for solving an exponential equation by matching b
Subscribe to unlock allWorked example: fully factorise x^3 - 7x + 6
I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely
Subscribe to unlock allDiagnose my weak topics using a short quiz
I am in SS 3. Give me one short question from each major topic covered so far in Further M
Subscribe to unlock allStructured question: surd equation with a solution to reject
I am in SS 3. Give me a structured surd equation question where squaring both sides introd
Subscribe to unlock allStructured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
Subscribe to unlock allStructured question: simplifying a surd raised to a fractional index
I am in SS 3. Give me a structured question simplifying an expression that combines a surd
Subscribe to unlock allStructured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
Subscribe to unlock allStructured question: binomial expansion used for a probability estimate
I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a
Subscribe to unlock allStructured question: logic puzzle solved with a truth table
I am in SS 3. Give me a short logic puzzle involving two or three statements about people
Subscribe to unlock allStructured question: combination problem with 'at least' condition
I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc
Subscribe to unlock allStructured question: quadratic formula question with a negative discriminant
I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati
Subscribe to unlock allWAEC exam question: polynomial division real-world framing
I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi
Subscribe to unlock allWAEC exam question: sequences applied to loan repayment
I am in SS 3. Give me a WAEC-style Further Maths question where a fixed amount is repaid e
Subscribe to unlock allNon-calculator paper: coordinate geometry with fractional gradients
I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor
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