Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "A polynomial written in descending powers"
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: permutations with repeated letters
I am in SS 3. Set me a structured question asking for the number of distinct arrangements
Subscribe to unlock allWAEC exam question: circular permutation with a condition
I am in SS 3. Give me a WAEC-style Further Maths question on circular permutations where t
Subscribe to unlock allQuiz me on nPr versus nCr notation
I am in SS 3. Quiz me on when to use nPr and when to use nCr, giving me short scenarios an
Subscribe to unlock allStructured question: fully factorise x^3 - 2x^2 - 5x + 6
I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest
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 allStructured question: perpendicular bisector of (2,1) and (-4,7)
I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi
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 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 allGive me a past-paper style question bank for quadratic factorisation
I am in SS 3. Give me a bank of four exam-style questions on factorising quadratic trinomi
Subscribe to unlock allGive me a past-paper style question bank for the quadratic formula
I am in SS 3. Give me a bank of four exam-style questions on using the quadratic formula,
Subscribe to unlock allGive me a past-paper style question bank for sum and product of roots
I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran
Subscribe to unlock allGive me a past-paper style question bank for the factor theorem
I am in SS 3. Give me a bank of four exam-style questions on the factor theorem, ranging f
Subscribe to unlock allGive me a past-paper style question bank for cubic equations
I am in SS 3. Give me a bank of four exam-style questions on solving cubic equations, rang
Subscribe to unlock allGive me a past-paper style question bank for functions
I am in SS 3. Give me a bank of four exam-style questions on composite and inverse functio
Subscribe to unlock allGive me a past-paper style question bank for surds
I am in SS 3. Give me a bank of four exam-style questions on simplifying and rationalising
Subscribe to unlock allGive me a past-paper style question bank for logarithms
I am in SS 3. Give me a bank of four exam-style questions on the laws of logarithms, rangi
Subscribe to unlock all