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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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216 prompts matching "evaluating a power using binomial expansion"

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

Multiplying and dividing indices in one expression

I am in SS 1. Teach me simplifying (a^5 x a^-2) divided by a^3 fully, quoting which law is

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Index notation for a nested root

I am in SS 1. Quiz me with 3 short Additional Maths questions on rewriting a nested root,

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Solving 4^x = 8^(x-1) by matching bases

I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side

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Solving 9^x x 3^(x+1) = 1

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

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Indices in a WAEC-style savings context question

I am in SS 1. Quiz me with 3 short Additional Maths questions on a WAEC Further Mathematic

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Simplifying an algebraic fraction with index rules

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

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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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Solving an equation with a fractional exponent on x

I am in SS 1. Quiz me with 3 short Additional Maths questions on solving x^(2/3) = 4 for x

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Verifying an index law with numbers

I am in SS 1. I'm going to explain verifying that a^m divided by a^n equals a^(m-n) using

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Index equation with equal exponents, unknown base

I am in SS 1. Teach me solving an equation of the form x^3 = 125 for an unknown base x the

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Index law shortcuts for mental exam questions

I am in SS 1. Quiz me with 3 short Additional Maths questions on quick mental-maths style

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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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Simplifying a surd by extracting square factors

I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying a surd by ext

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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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Expanding brackets containing surds

I am in SS 1. Quiz me with 4 short Additional Maths questions on expanding a bracket conta

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Rationalising a denominator with a single surd

I am in SS 1. Quiz me with 4 short Additional Maths questions on rationalising a denominat

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Rationalising a more complex conjugate denominator

I am in SS 1. I attempted an Additional Maths question on rationalising a fraction with a

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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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Surds arising from Pythagoras' theorem

I am in SS 1. Quiz me with 4 short Additional Maths questions on a Pythagoras' theorem que

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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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