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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 "Proving an identity by working on one side only"

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

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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Finding the centre and radius from a circle's equation

I am in SS 1. Quiz me with 3 short Additional Maths questions on finding the centre and ra

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Simultaneous equations of a line and the coordinate axes

I am in SS 1. Teach me finding the area enclosed between a straight line and the coordinat

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Equation of a line with a given y-intercept and passing through a point

I am in SS 1. I attempted an Additional Maths question on finding the equation of a straig

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Finding the equation of a median of a triangle

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

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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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Factorising by taking out a common factor

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

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Solving a linear inequality and showing the solution

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

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Substituting values into an algebraic expression

I am in SS 1. Teach me substituting given numerical values into an algebraic expression co

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Simplifying expressions with like and unlike terms

I am in SS 1. Teach me correctly identifying and collecting like terms in a longer algebra

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Cross-multiplying to solve an equation with fractions

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

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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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Explaining the difference between an expression and an equation

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

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Common sign errors in algebraic manipulation

Show me a fully worked Cambridge/Additional Maths style solution to a question on the most

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Common mistakes with composite and inverse functions

Teach me the most common mistakes SS1 students make with composite and inverse functions,

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Show All Working: Classifying a mixed list of numbers as rational or irrational

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on classifying a m

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Show All Working: Simplifying a surd expression that contains brackets

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on simplifying a s

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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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Show All Working: A conjugate where the surd term comes first

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on a conjugate whe

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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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