Use AI with an adult nearby, and check answers together.

Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
Clear

1,111 prompts matching "Factorising a quadratic whose leading coefficient is not one"

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: 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

Show 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

Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

Structured 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

Find the range of x for which y = x^3 - 3x is increasing

I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range

Give 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,

Give me a past-paper style question bank for quadratic inequalities

I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie

Give me a past-paper style question bank for linear-quadratic simultaneous equations

I am in SS 3. Give me a bank of four exam-style questions on linear-quadratic simultaneous

Spot my mistake: dividing a polynomial by long division

I am in SS 3. I will show you my full long division working for dividing a polynomial by a

Worked 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

Structured question: logarithmic equation reducing to a quadratic

I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x

Structured question: trig equation with a coefficient inside the angle

I am in SS 3. Give me a structured trigonometric equation question where the angle inside

Structured question: binomial expansion coefficient equation

I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien

Structured 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

WAEC 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

WAEC Prep: Raising a 2 by 2 matrix to the third power

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through raising a 2 by 2 m

Spot My Mistake: Squaring a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with

Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column

Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by

Quiz: Multiplying a matrix by minus one

Act as my SS3 Further Mathematics tutor and quiz me on multiplying a matrix by minus one.

Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

© 2026 PromptPaddi Limited. All rights reserved.