Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,314 prompts matching "expand (x+2)^5 fully using the binomial theorem"
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 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 allStructured question: find the equation of a tangent to a curve
I am in SS 3. Give me a structured question where I differentiate a curve's equation, find
Subscribe to unlock allStructured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
Subscribe to unlock allTimed 20-minute Further Maths exam practice
I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering
Subscribe to unlock allWAEC exam question: the converse, the inverse and the contrapositive
Act as my SS3 Further Mathematics examiner. Set me an exam-standard question on the conver
Subscribe to unlock allStructured question: converse, inverse, and contrapositive together
I am in SS 3. Set me a structured question where, for one given conditional statement, I m
Subscribe to unlock allStructured question: identify a tautology using a truth table
I am in SS 3. Set me a structured question where I build a truth table for a compound stat
Subscribe to unlock allQuiz me on logic symbols and their meanings
I am in SS 3. Quiz me by giving me logic symbols one at a time, such as negation, conjunct
Subscribe to unlock allFind the number of ways command word: combinations
I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin
Subscribe to unlock allStructured question: probability using combinations, exam style
I am in SS 3. Give me a structured question where I must find a probability by dividing th
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 allFind the centre and radius from x^2+y^2-6x+8y-11=0
I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski
Subscribe to unlock allDifferentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1
I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q
Subscribe to unlock allFind the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
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 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 a past-paper style question bank for completing the square
I am in SS 3. Give me a bank of four exam-style questions on completing the square, rangin
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
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