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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 "Clearing the denominators before comparing coefficients"

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

Simplifying an expression with brackets and indices together

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

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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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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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Practice: Deciding whether root 16 is rational or irrational

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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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Show All Working: Deciding whether two given surds are equal without a calculator

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

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Worked Example: Adding two surds that simplify to the same root

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Spot My Mistake: Dividing one surd by another

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Common Mistakes: Expanding the product of two surd brackets

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Spot My Mistake: Rationalising and then cancelling a common factor

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Final Revision: Expressing a rationalised answer in the form a root b over c

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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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WAEC Prep: Expressing the answer in the form a plus b root c

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

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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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Worked Example: Reading the symbol used for a binary operation

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