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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Changing the subject with a square or square root"

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Worked Example: The position vector of the midpoint of AB

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Worked Example: The triangle law of vector addition

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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

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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

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Worked Example: The powers of i, and the cycle they follow

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

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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

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Worked Example: The quotient rule for differentiation

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

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WAEC Prep: A definite integral evaluated with the limits reversed

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a definite integra

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Worked Example: The area between a curve and the x-axis

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Practice: The sign convention for displacement, velocity and acceleration

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Worked Example: Power as the rate of doing work

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

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Practice: The rank correlation coefficient

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Explain the rule of signs for determinants

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

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Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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Find the inverse of a 3x3 matrix using cofactors #2

I am in SS 3. Give me a 3x3 matrix like A=[[2,0,1],[1,3,-1],[0,1,2]] and guide me through

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