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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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575 prompts matching "Checking a root of a cubic by substitution"

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

Deciding whether a geometric series converges

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

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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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Simplifying a mixed index expression

I am in SS 1. Quiz me with 3 short Additional Maths questions on simplifying an expression

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Index equations reducing to a quadratic

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

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Simplifying an algebraic fraction with index rules

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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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Adding surds that need simplifying first

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Multiplying two surds together

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Expanding a binomial surd bracket

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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 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 denominator with a surd and integer

I am in SS 1. I'm going to explain rationalising a denominator such as 6 divided by (2 roo

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Rationalising using the conjugate

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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 surd equation with terms on both sides

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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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Distinguishing rational and irrational numbers

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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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