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Further Mathematics

AI prompts for senior secondary learners.

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755 prompts matching "Structured question: simplifying a surd raised to a fractional index"

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

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 (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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Simplifying indices before adding like terms

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What makes a number a surd

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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

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Surds in the quadratic formula

I am in SS 1. Quiz me with 5 short Additional Maths questions on why the quadratic formula

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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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Dividing surds using the quotient rule

I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d

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Explaining why we rationalise denominators

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Surds in a coordinate geometry distance calculation

I am in SS 1. Teach me a coordinate geometry question where applying the distance formula

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Set operations exam question, multi-part

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

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Full WAEC-style set theory past question

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

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Applying the sum to infinity formula when the ratio lies between minus one and one

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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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Show all working: multi-part coordinate geometry question

I am in SS 1. Quiz me with 3 short Additional Maths questions on a structured Cambridge/Ad

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Distance from a point to the centre of a circle

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Coordinate geometry applied to a triangle's area check

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