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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Express x^2 - 14x + 20 in completed-square form"

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

Finding a sequence's sum between two term numbers

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

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Sum of a series expressed with algebraic terms

I am in SS 1. Teach me finding the sum of the first n terms of a series where each term is

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Explaining why sum to infinity only works for |r| < 1

I am in SS 1. Quiz me with 5 short Additional Maths questions on explaining, using a numer

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Gradient of a line joining two points

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

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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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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

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Coordinate geometry proof: right-angled triangle

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Coordinate geometry proof: isosceles triangle

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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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Distance from a point to the centre of a circle

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Coordinate geometry combined with simultaneous equations

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Full worked exam-style problem combining gradient, distance and midpoint

I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r

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Coordinate geometry applied to a triangle's area check

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Expanding and simplifying with negative brackets

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Factorising by taking out a common factor

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Factorising by grouping four terms

I am in SS 1. Teach me factorising an expression with four terms by grouping them in pairs

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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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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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Algebraic long division of a simple polynomial by a linear factor

I am in SS 1. Quiz me with 4 short Additional Maths questions on dividing a simple cubic e

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