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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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721 prompts matching "Checking a factorisation by expanding it again"

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Mixed sequence exam question, arithmetic and geometric

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

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Sequences given by a recurrence relation

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Distinguishing gradient sign: positive, negative, zero, undefined

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Factorising by taking out a common factor

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Solving a linear inequality and showing the solution

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Cross-multiplying to solve an equation with fractions

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Rewriting different bases as the same base

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Solving index equations with matching bases

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Evaluating index expressions without a calculator

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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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Simplifying an algebraic fraction with index rules

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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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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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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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Expanding a binomial surd bracket

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Rationalising a denominator with a single surd

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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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Working with cube roots as a type of surd

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