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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,329 prompts matching "IGCSE Additional Maths Y11: Giving an exact answer in terms of pi — Exam Techniq"

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Learn: The coordinates of a point in three dimensions

You are my personal SS3 Further Mathematics tutor. Teach me the coordinates of a point in

Learn: The magnitude of a three-dimensional vector

You are my personal SS3 Further Mathematics tutor. Teach me the magnitude of a three-dimen

Practice: The magnitude of the sum of two vectors

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

Worked Example: Finding the unit vector in the direction of a given vector

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Practice: A vector of stated magnitude in a given direction

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a vector of st

Worked Example: The position vector of the midpoint of AB

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Worked Example: Testing two vectors for perpendicularity

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Practice: Deciding whether a point lies on a given line

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

Worked Example: Squaring a complex number

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

Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting a c

Learn: The cube roots of unity

You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki

Practice: Why complex roots of a real quadratic come in conjugate pairs

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro

Practice: Differentiating x squared from first principles

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Worked Example: The quotient rule for differentiation

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Worked Example: Differentiating a bracket raised to a power

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Learn: Differentiating sin of a multiple of x

You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi

Worked Example: Classifying a stationary point by the sign of the gradient either side

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Learn: Integrating a polynomial term by term

You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term

Learn: Finding displacement by integrating velocity

You are my personal SS3 Further Mathematics tutor. Teach me finding displacement by integr

Practice: A body thrown vertically upwards

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a body thrown

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