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Senior Secondary

Further Mathematics

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755 prompts matching "Structured question: three-part algebra question mixing methods"

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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

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

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WAEC Prep: Squaring a single surd

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Show All Working: Simplifying a surd expression that contains brackets

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Worked Example: Rationalising a denominator that is a single surd

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WAEC Prep: Rationalising a denominator inside a larger expression

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Show All Working: Checking a rationalised answer by decimal approximation

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

Worked Example: Why multiplying by the conjugate clears the surd

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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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Worked Example: Squaring both sides safely when solving a surd equation

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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Worked Example: Reading the symbol used for a binary operation

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WAEC Prep: Writing a binary operation rule from a description in words

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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Worked Example: Testing the even numbers for closure under addition

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WAEC Prep: A set closed under one operation but not another

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Show All Working: Showing a set is not closed by a single counter-example

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on showing a set i

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

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WAEC Prep: An operation that is commutative but not associative

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