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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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823 prompts matching "Showing a set is not closed by a single counter-example"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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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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Teach me solving quadratic inequalities

Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a

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Quiz me on quadratic inequalities

I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu

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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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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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Show that command word: polynomial identity

I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b

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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: Substituting a, b and c into the quadratic formula correctly

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

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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: Substituting into the quadratic and tidying up

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

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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: 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: The truth table for the conditional

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

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Worked Example: The truth table for the biconditional

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

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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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