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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 "Comparing the sizes of two surds without a calculator"

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

Sum of the first n odd numbers

I am in SS 1. Quiz me with 4 short Additional Maths questions on proving and using the fac

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Finding the equation of a line parallel to the x-axis or y-axis through a point

I am in SS 1. I'm going to explain finding the equation of a line through a given point th

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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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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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Changing the subject of a simple formula

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

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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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Explain Back: Where the surds sit on the number line

I have just studied where the surds sit on the number line in my SS1 Further Mathematics c

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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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WAEC Prep: Pi and root 2 as the two best-known irrational numbers

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Quiz: Subtracting one surd from another

Act as my SS1 Further Mathematics tutor and quiz me on subtracting one surd from another.

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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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Quiz: Rationalising a denominator of the form one over root 3

Act as my SS1 Further Mathematics tutor and quiz me on rationalising a denominator of the

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Practice: Rationalising a denominator with a whole number multiplying the surd

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

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Common Mistakes: Rationalising a denominator of the form root a over root b

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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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Quiz: Rationalising a denominator of the form one over 2 plus root 3

Act as my SS1 Further Mathematics tutor and quiz me on rationalising a denominator of the

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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

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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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WAEC Prep: Equating the rational and the irrational parts of an equation

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Common Mistakes: Subtraction as an example of neither law

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