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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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643 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.

Alternating sequences and their pattern

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on iden

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Gradient from a linear equation

I am in SS 1. I'm going to explain finding the gradient and y-intercept of a line directly

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Dividing a line segment in a given ratio

I am in SS 1. Teach me finding the coordinates of a point that divides a line segment inte

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Area of a triangle from three coordinates

I am in SS 1. I'm going to explain finding the area of a triangle given the coordinates of

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Length of a line segment on a graph

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Finding the equation of a circle from its centre and radius

I am in SS 1. Teach me finding the equation of a circle in the form (x-a)^2 + (y-b)^2 = r^

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Gradient as a rate of change interpretation

I am in SS 1. I'm going to explain interpreting the gradient of a straight-line graph as a

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Perpendicular from a point to a line

I am in SS 1. Teach me finding the equation of the line through a given point that is perp

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WAEC-style past question on coordinate geometry

I am in SS 1. I'm going to explain a complete WAEC Further Mathematics past-paper style co

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Coordinate geometry involving a right-angle condition to find x

I am in SS 1. Teach me finding an unknown coordinate x so that two given line segments mee

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Expanding a product of three brackets

I am in SS 1. I'm going to explain expanding a product of three linear brackets, such as (

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Subtracting two algebraic fractions

I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno

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Simplifying a complex algebraic fraction

I am in SS 1. Teach me simplifying a 'fraction within a fraction' algebraic expression by

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Solving simultaneous linear equations by substitution

I am in SS 1. I'm going to explain solving a pair of simultaneous linear equations by the

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Changing the subject when the variable appears twice

I am in SS 1. Teach me changing the subject of a formula where the required letter appears

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Multi-part algebraic manipulation exam question

I am in SS 1. I attempted an Additional Maths question on a Cambridge/Additional Maths sty

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Worked Example: What makes two surds equal

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on what m

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Worked Example: Why multiplying by the conjugate clears the surd

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why mu

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Worked Example: Squaring both sides safely when solving a surd equation

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on findin

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