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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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285 prompts matching "Solve x^2 - 6x + 9 = 0 by factorisation"

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

Common sign errors in algebraic manipulation

Show me a fully worked Cambridge/Additional Maths style solution to a question on the most

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Division law of indices

I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div

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Power of a power rule

I am in SS 1. Quiz me with 3 short Additional Maths questions on the power-of-a-power rule

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Negative indices in algebraic fractions

I am in SS 1. I attempted an Additional Maths question on simplifying an algebraic express

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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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Rewriting different bases as the same base

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

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Solving index equations with matching bases

I am in SS 1. I'm going to explain solving an index equation by rewriting both sides with

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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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Evaluating index expressions without a calculator

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

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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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Comparing the size of two large index numbers

I am in SS 1. Quiz me with 5 short Additional Maths questions on comparing the size of two

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Simplifying a fraction of two bracketed index terms

I am in SS 1. I'm going to explain simplifying a fraction of index expressions down to a s

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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 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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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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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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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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