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Further Mathematics

AI prompts for senior secondary learners.

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755 prompts matching "De Morgan's law that the complement of a union is the intersection of the comple"

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Rationalising the denominator when it's a surd minus a surd

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Show All Working: Deciding whether two given surds are equal without a calculator

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Common Mistakes: Closure on a set of three elements under a stated rule

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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IGCSE Additional Maths Y10: Expressing a surd answer in the form the question demands — Common Mistakes

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Multiplication law of indices

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Simplifying a fraction of two bracketed index terms

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Verifying an index law with numbers

I am in SS 1. I'm going to explain verifying that a^m divided by a^n equals a^(m-n) using

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Combining several index laws in one simplification

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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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Explaining why a^1/n means the nth root of a

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Listing elements of a set from a description

I am in SS 1. Quiz me with 4 short Additional Maths questions on writing down the elements

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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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Complement of a set within a universal set

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Sum of the first n terms of an arithmetic series

I am in SS 1. I attempted an Additional Maths question on using the formula Sn = n/2 (2a +

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Deciding whether a geometric series converges

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Deriving the arithmetic series sum formula

I am in SS 1. Quiz me with 4 short Additional Maths questions on how the formula Sn = n/2

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Deriving the geometric series sum formula

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Sum of the first n odd numbers

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