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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 "Showing that fg(x) is not the same as gf(x)"

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

Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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

Act as my SS1 Further Mathematics tutor. Work a question on a binary operation defined on

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Worked Example: Testing the even numbers for closure under addition

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

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Quiz: Testing the odd numbers for closure under addition

Act as my SS1 Further Mathematics tutor and quiz me on testing the odd numbers for closure

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Spot My Mistake: Reading closure off an operation table

Act as my SS1 Further Mathematics tutor. Work a question on reading closure off an operati

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Explain Back: What it means for an operation to be associative

I have just studied what it means for an operation to be associative in my SS1 Further Mat

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Spot My Mistake: Testing (a*b)*c against a*(b*c)

Act as my SS1 Further Mathematics tutor. Work a question on testing (a*b)*c against a*(b*c

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Quiz: Finding the identity element from an operation table

Act as my SS1 Further Mathematics tutor and quiz me on finding the identity element from a

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Worked Example: Rewriting a negative index as a fraction

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Practice: A fractional index with numerator one, read as a root

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

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Spot My Mistake: A negative fractional index

Act as my SS1 Further Mathematics tutor. Work a question on a negative fractional index wi

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Final Revision: Converting an answer back out of index form

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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Practice: Solving 2 to the power x equals 32

Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving 2 to t

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Explain Back: An indicial equation with the unknown in the exponent on both sides

I have just studied an indicial equation with the unknown in the exponent on both sides in

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Final Revision: Checking an indicial solution by substitution

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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Worked Example: Writing an index statement as a logarithm

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

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Quiz: Writing a logarithm as an index statement

Act as my SS1 Further Mathematics tutor and quiz me on writing a logarithm as an index sta

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Practice: Evaluating log to base 2 of 8

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

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Worked Example: The law for the logarithm of a quotient

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Quiz: The law for the logarithm of a power

Act as my SS1 Further Mathematics tutor and quiz me on the law for the logarithm of a powe

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