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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "A binary operation defined on the integers"

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

Piecewise-style simple function evaluation

I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha

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Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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Structured question: solve a logarithmic equation with two conditions

I am in SS 3. Give me a structured question where I solve a logarithmic equation and must

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Structured question: composite function domain restriction

I am in SS 3. Give me a structured question where the composite function fg(x) is undefine

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Show all working: mixed matrices and determinants exam question

I am in SS 3. Give me a Cambridge Additional Mathematics style multi-part question combini

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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Inequality word problem with a real-life constraint

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a wo

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

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Solving an equation formed by equating two algebraic fractions

I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s

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What a function is and function notation

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on what

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Evaluating a function at a given value

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Evaluating a function at a negative value

I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(

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Evaluating a function at an algebraic input

I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at

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Domain of a simple algebraic function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Range of a simple function from its graph or values

I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si

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Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

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The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

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Composite functions fg(x)

I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f

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