Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,252 prompts matching "Multi-part index exam question with a real context"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Worked 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 allWorked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and
Subscribe to unlock allWorked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Subscribe to unlock allWorked example: solve 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it
Subscribe to unlock allWorked example: prove an argument invalid using a truth table
I am in SS 3. Show me a full worked example of testing a logical argument for validity usi
Subscribe to unlock allWorked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
Subscribe to unlock allStructured word problem: WAEC exam hall seating combinations
I am in SS 3. Set me a structured combinations word problem about choosing students for an
Subscribe to unlock allStructured question: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Subscribe to unlock allStructured question: composite function domain restriction
I am in SS 3. Give me a structured question where the composite function fg(x) is undefine
Subscribe to unlock allStructured question: logarithmic equation reducing to a quadratic
I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x
Subscribe to unlock allStructured question: AP and GP sharing the same first three terms
I am in SS 3. Give me a structured question describing a sequence whose first three given
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: two quadratics sharing a common root
I am in SS 3. Give me a structured question where two quadratic equations are given and I
Subscribe to unlock allStructured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
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: sum of a series expressed using sigma notation
I am in SS 3. Give me a structured question where a sum is written using sigma notation fo
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: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Subscribe to unlock allNon-calculator paper: exact value question on sum and product of roots
I am in SS 3. Give me a non-calculator sum and product of roots question where the final a
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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