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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 "Practice: Deciding whether a point lies on a given line"

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

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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WAEC-style past question on algebraic fractions

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

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Common sign errors in algebraic manipulation

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Worked Example: Why the square root of a non-square whole number is irrational

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

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

Act as my SS1 Further Mathematics tutor. Work a question on the decimal expansion of an ir

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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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Practice: Multiplying a whole number by a surd

Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplying a

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Spot My Mistake: Dividing one surd by another

Act as my SS1 Further Mathematics tutor. Work a question on dividing one surd by another w

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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: Rationalising a denominator that is a single surd

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

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Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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Spot My Mistake: Rationalising and then cancelling a common factor

Act as my SS1 Further Mathematics tutor. Work a question on rationalising and then cancell

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Show All Working: Checking a rationalised answer by decimal approximation

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

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Worked Example: Why multiplying by the conjugate clears the surd

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

Act as my SS1 Further Mathematics tutor. Work a question on simplifying the denominator on

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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

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Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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Spot My Mistake: Solving a surd equation that leads to a quadratic

Act as my SS1 Further Mathematics tutor. Work a question on solving a surd equation that l

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