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Senior Secondary

Further Mathematics

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📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "Why does completing the square work"

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

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

Learn: The unit vectors i, j and k

You are my personal SS3 Further Mathematics tutor. Teach me the unit vectors i, j and k, w

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

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

Worked Example: Testing two vectors for perpendicularity

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin

Learn: The angle between a vector and one of the axes

You are my personal SS3 Further Mathematics tutor. Teach me the angle between a vector and

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

Spot My Mistake: The equilibrium condition written in vector form

Act as my SS3 Further Mathematics tutor. Work a question on the equilibrium condition writ

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

Spot My Mistake: Dividing one complex number by another using the conjugate

Act as my SS3 Further Mathematics tutor. Work a question on dividing one complex number by

Worked Example: Squaring a complex number

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on squari

WAEC Prep: The conjugate of a complex number, and how it is written

Act as my SS3 Further Mathematics examiner. Set me an exam-standard question on the conjug

Practice: The sum of a complex number and its conjugate

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

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

Practice: The addition of complex numbers shown on an Argand diagram

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

Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem

Act as my SS3 Further Mathematics tutor. Work a question on deriving a multiple angle form

Learn: The cube roots of unity

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

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

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