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Further Mathematics

AI prompts for senior secondary learners.

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755 prompts matching "Simplifying the answer after using the quotient rule"

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

What makes a number a surd

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

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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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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 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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Distinguishing rational and irrational numbers

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Proving a surd statement is true or false

I am in SS 1. I attempted an Additional Maths question on proving whether a given surd sta

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Explaining why we rationalise denominators

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Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

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Union and intersection of two number sets

I am in SS 1. I'm going to explain finding the union and intersection of two given sets of

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Drawing a two-set Venn diagram from data

I am in SS 1. I attempted an Additional Maths question on drawing a Venn diagram for two o

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Three-set Venn diagram word problem

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Working backwards from Venn diagram totals

I am in SS 1. I'm going to explain a Venn diagram question where I am given some regions a

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Equal sets versus equivalent sets

I am in SS 1. I attempted an Additional Maths question on the difference between two sets

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Number of elements in a set from a Venn diagram region count

I am in SS 1. I'm going to explain counting n(A only), n(B only) and n(A and B) separately

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Power set of a three-element set

I am in SS 1. I'm going to explain listing the full power set of a three-element set, incl

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Distributive law for sets

I am in SS 1. I attempted an Additional Maths question on the distributive law connecting

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Solving for x when three terms are in arithmetic progression

I am in SS 1. I attempted an Additional Maths question on finding the value of x given tha

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Mixed sequence exam question, arithmetic and geometric

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Sequences given by a recurrence relation

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