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Senior Secondary

Further Mathematics

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1,334 prompts matching "Spot the examiner's trick in a factorisation question"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Spot My Mistake: The vector from A to B as the difference of two position vectors

Act as my SS3 Further Mathematics tutor. Work a question on the vector from A to B as the

Worked Example: The position vector of the midpoint of AB

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Learn: Subtracting one vector from another

You are my personal SS3 Further Mathematics tutor. Teach me subtracting one vector from an

Practice: The dot product as the magnitudes times the cosine of the angle

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

Explain Back: The dot product of two perpendicular vectors

I have just studied the dot product of two perpendicular vectors in my SS3 Further Mathema

Quiz: The vector equation of the line through two given points

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Practice: Deciding whether a point lies on a given line

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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

Quiz: Subtracting one complex number from another

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

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

I have just studied the locus of a complex number at a fixed distance from a point in my S

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

Quiz: Why the power rule fails for the integral of one over x

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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

Quiz: Using the initial conditions to fix the constants in a kinematics problem

Act as my SS3 Further Mathematics tutor and quiz me on using the initial conditions to fix

Learn: Connected rates of change through the chain rule

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

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