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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 "Structured question: complete the square then find the minimum"

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 with numerator above 1

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

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Index equations reducing to a quadratic

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

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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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Laws of indices with three different bases in one line

I am in SS 1. I attempted an Additional Maths question on simplifying an expression that c

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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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Evaluating a negative fractional index

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

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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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Index laws with an unknown letter base

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

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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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Evaluating (1/2)^-3 without a calculator

I am in SS 1. I attempted an Additional Maths question on evaluating (1/2)^-3 fully withou

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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 indices before adding like terms

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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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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Solving a surd equation with terms on both sides

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

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Distinguishing rational and irrational numbers

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

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