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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 "An answer left in surd form after completing the square"

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: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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Learn: What it means for an operation to be commutative

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Worked Example: Testing a*b against b*a for a given rule

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Practice: An operation that is not commutative, with a counter-example

Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t

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Common Mistakes: Subtraction as an example of neither law

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Learn: What it means for one operation to distribute over another

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Worked Example: Testing whether star distributes over plus

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Practice: Multiplication distributing over addition in ordinary arithmetic

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

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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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Learn: What an identity element is

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Practice: Why an identity element must work from both sides

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Worked Example: The law for multiplying powers of the same base

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Practice: The law for a power raised to another power

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Explain Back: The law for a product raised to a power

I have just studied the law for a product raised to a power in my SS1 Further Mathematics

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Common Mistakes: Why the index laws need the bases to match

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Final Revision: Evaluating a numerical expression using the index laws

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Learn: Why any non-zero number to the power nought is one

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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

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