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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 "Why one component vanishes when the direction is chosen well"

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

Fractional indices as roots

I am in SS 1. Teach me fractional indices, converting between root form and index form, su

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Simplifying a mixed index expression

I am in SS 1. Quiz me with 3 short Additional Maths questions on simplifying an expression

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Index equations with a fractional right-hand side

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on solv

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Standard form calculations using indices

I am in SS 1. Teach me converting numbers to and from standard form and using the laws of

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Indices word problem: bacteria growth

I am in SS 1. Teach me a word problem where a quantity grows according to an index formula

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Evaluating a fractional-negative index expression

I am in SS 1. Teach me evaluating 25^(-3/2) fully as a fraction without a calculator the w

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Rewriting an expression with only positive indices

I am in SS 1. Teach me rewriting an expression such as 3x^-2 y^3 z^-1 so every index in it

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Full past-question style index problem, timed

I am in SS 1. Teach me a complete WAEC/Additional Maths style index question exactly as it

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What makes a number a surd

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Multiplying a surd by an integer

I am in SS 1. Teach me multiplying a surd by a whole number, such as 4 times root 5, and s

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Squaring a surd expression

I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin

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Solving a simple surd equation

I am in SS 1. Teach me solving a surd equation, such as solving root(x + 4) = 3, and check

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Simplifying a fraction with a surd numerator

I am in SS 1. Teach me simplifying a fraction where the numerator contains a surd, such as

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Surd word problem: diagonal of a rectangle

I am in SS 1. Teach me a word problem asking for the exact length of the diagonal of a rec

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Show all working: full surd simplification exam question

I am in SS 1. Teach me a structured exam question requiring simplification, then rationali

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Solving a surd equation that gives an extraneous root

I am in SS 1. Quiz me with 3 short Additional Maths questions on solving a surd equation s

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Quiz me on quick surd simplifications

I am in SS 1. Teach me a rapid-fire set of surd simplification questions typical of the no

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Reviewing every surd rule before a test

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a st

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Surd equation from a geometry context

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a su

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Simplifying a surd expression before squaring

I am in SS 1. I attempted an Additional Maths question on why it matters to simplify a sur

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