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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,334 prompts matching "Expressing a rationalised answer in the form a root b over c"

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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

Explain Back: The resultant of forces given as vectors

I have just studied the resultant of forces given as vectors in my SS3 Further Mathematics

Learn: The real and the imaginary parts of a complex number

You are my personal SS3 Further Mathematics tutor. Teach me the real and the imaginary par

Practice: The argument of a complex number in the second or third quadrant

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

Explain Back: The locus of a complex number at a fixed distance from a point

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Explain Back: Raising a complex number to a power by de Moivre's theorem

I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F

Learn: Choosing between the product rule and the quotient rule

You are my personal SS3 Further Mathematics tutor. Teach me choosing between the product r

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

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Explain Back: The constant of integration, and why it appears

I have just studied the constant of integration, and why it appears in my SS3 Further Math

Learn: An area lying below the x-axis, and its sign

You are my personal SS3 Further Mathematics tutor. Teach me an area lying below the x-axis

Learn: Connected rates of change through the chain rule

You are my personal SS3 Further Mathematics tutor. Teach me connected rates of change thro

Explain Back: The greatest height reached by a body thrown upwards

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Practice: The conservation of momentum in a collision

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

Worked Example: Power as the rate of doing work

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Learn: The kinetic energy of a moving body

You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving

Worked Example: Finding the first term and the common difference from two given terms

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Explain Back: The sum of the first n terms of a geometric progression

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Practice: The sum to infinity of a convergent geometric series

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum to inf

Practice: Finding a remainder without carrying out the division

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding a rema

Explain Back: The line of best fit, and the regression line

I have just studied the line of best fit, and the regression line in my SS3 Further Mathem

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