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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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658 prompts matching "Explain why a complex number times its conjugate is real"

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

Simplifying bracketed algebraic index expressions

I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying an expression

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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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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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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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Combining several index laws in one simplification

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

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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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Multi-part index exam question with a real context

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

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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 two surds together

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

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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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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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Comparing the size of two surds

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

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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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