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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "IGCSE Additional Maths Y11: An equation that factorises into two ratios — Spot M"

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Worked Example: Adding two surds that simplify to the same root

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on adding

Show All Working: Simplifying a surd expression that contains brackets

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Common Mistakes: Expanding the product of two surd brackets

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Worked Example: Rationalising a denominator that is a single surd

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Show All Working: Checking a rationalised answer by decimal approximation

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on checking a rati

Worked Example: Squaring both sides safely when solving a surd equation

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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Common Mistakes: A binary operation that is ordinary addition in disguise

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Common Mistakes: Subtraction as an example of neither law

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Show All Working: Using distributivity to simplify an expression

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Show All Working: An element with no inverse under a given operation

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Common Mistakes: Checking an inverse by working the operation both ways

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Show All Working: Simplifying an expression with letters and indices

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Common Mistakes: An arithmetic progression with a negative common difference

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Worked Example: The alternative sum formula that uses the last term

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Common Mistakes: Inserting a geometric mean between two numbers

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Show All Working: The sum to infinity of a geometric progression, and when it exists

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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