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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 "Find the range of x for which y = x^3 - 3x is increasing"

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

Condition for two lines to be perpendicular

I am in SS 1. Quiz me with 4 short Additional Maths questions on the condition for two lin

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Locus problem: points equidistant from two fixed points

I am in SS 1. Quiz me with 3 short Additional Maths questions on a locus-style coordinate

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Full worked exam-style problem combining gradient, distance and midpoint

I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r

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Changing the subject when the variable appears twice

I am in SS 1. Teach me changing the subject of a formula where the required letter appears

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Quiz me rapid-fire on expanding and factorising

I am in SS 1. I'm going to explain a rapid-fire quiz alternating between expanding a brack

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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

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Learn: Simplifying root 72 into its simplest form

You are my personal SS1 Further Mathematics tutor. Teach me simplifying root 72 into its s

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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

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Show All Working: A conjugate where the surd term comes first

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

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Learn: What a binary operation actually is

You are my personal SS1 Further Mathematics tutor. Teach me what a binary operation actual

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Learn: What closure means for a binary operation

You are my personal SS1 Further Mathematics tutor. Teach me what closure means for a binar

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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

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Learn: What it means for an operation to be commutative

You are my personal SS1 Further Mathematics tutor. Teach me what it means for an operation

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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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Show All Working: An operation that is associative but not commutative

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on an operation th

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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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Show All Working: Using distributivity to simplify an expression

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

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Learn: What an identity element is

You are my personal SS1 Further Mathematics tutor. Teach me what an identity element is fr

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Learn: Reading index notation, the base and the exponent

You are my personal SS1 Further Mathematics tutor. Teach me reading index notation, the ba

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Show All Working: Simplifying an expression that mixes the index types

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

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