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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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575 prompts matching "Checking a root of a cubic by substitution"

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

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: Reducing two surds to the same root in order to compare them

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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

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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

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Common Mistakes: Expanding the product of two surd brackets

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Learn: The conjugate of a compound surd expression

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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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Common Mistakes: Rationalising when both terms of the denominator are surds

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

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Spot My Mistake: A binary operation defined on a set of three elements

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Spot My Mistake: Reading closure off an operation table

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Common Mistakes: Closure on a set of three elements under a stated rule

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Quiz: Reading commutativity off a symmetrical operation table

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Common Mistakes: Subtraction as an example of neither law

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