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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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883 prompts matching "Proving that a quadratic expression is positive for every real x"

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: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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Show all your working command word: simultaneous equations

I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh

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Structured question: find coordinates of intersection points

I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th

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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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Prove command word: line does not intersect a curve

I am in SS 2. Give me a 'prove that' style question where I must show a given line never m

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Worked Example: Halving the coefficient of x and squaring it

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin

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Worked Example: The product of the roots as c over a

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the pr

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the id

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Worked Example: The degree of a polynomial in one variable

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the de

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Worked Example: The remainder on dividing by x minus 3

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the re

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Worked Example: How many roots a cubic equation has

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on how ma

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Worked Example: Conjunction in a three-variable truth table

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on conjun

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Worked Example: Arranging r of n objects in a line

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on arrang

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Worked Example: The number of ways n people sit round a round table

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the nu

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Worked Example: Selections in which the order does not matter

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on select

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Worked Example: Counting the total outcomes with combinations

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on counti

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Worked Example: Reading the coefficients of an expansion off Pascal's triangle

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on readin

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Worked Example: Finding the fifth term of an expansion

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on findin

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IGCSE Additional Maths Y11: Converting radians into degrees — Quiz Me

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Quiz me with five shor

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