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Further Mathematics

AI prompts for senior secondary learners.

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507 prompts matching "Domain of a function involving a square root"

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

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

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

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Simplifying an algebraic fraction with index rules

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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Adding and subtracting like surds

I am in SS 1. I'm going to explain adding and subtracting surds that share the same irrati

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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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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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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

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

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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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Surd answers in area and perimeter questions

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

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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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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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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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