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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,326 prompts matching "completing the square when the coefficient of x squared is not one"

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Practice: A diagonal matrix

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat

Worked Example: A singular matrix, and why it has no inverse

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Practice: Evaluating AB minus BA

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Explain Back: Solving a matrix equation containing both a sum and a product

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

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Practice: Finding an unknown force from a closed polygon

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Practice: Resolving three forces in two perpendicular directions

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Explain Back: A particle hanging from two strings set at different angles

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Practice: Using a binomial expansion to approximate a number

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Explain Back: Finding n and p from a given mean and variance

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Explain Back: Converting a value to a z-score

I have just studied converting a value to a z-score in my SS3 Further Mathematics class. L

Worked Example: Finding a value from a given probability by working backwards

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Worked Example: Testing two vectors for perpendicularity

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Practice: Equating real and imaginary parts to find two unknowns

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Worked Example: Squaring a complex number

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Practice: Converting a complex number from polar form back to a plus bi

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Explain Back: Forming a quadratic equation with given complex roots

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Explain Back: Differentiating one over x from first principles

I have just studied differentiating one over x from first principles in my SS3 Further Mat

Practice: Differentiating sin x and cos x

Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin

Explain Back: Differentiating tan x

I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl

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