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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Learn: The meaning of n factorial, and how to evaluate it"

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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Worked example: find the modulus and argument of 3+4i

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: find the magnitude of the vector (3,4)

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Worked example: find the unit vector in the direction of (6,8)

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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Real-life application of the factor theorem

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Real-life application of the condition for a line to be tangent to a curve

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Practice: The value of alpha to the fourth plus beta to the fourth

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WAEC Prep: Dividing by a factor of the form ax plus b

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Common Mistakes: The degree of the quotient and of the remainder

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Practice: Showing that x plus 3 is a factor of a given polynomial

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WAEC Prep: The factor theorem for a factor of the form ax plus b

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Show All Working: What the factor theorem says about the roots

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Practice: Factorising a quartic as the product of two quadratics

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WAEC Prep: Factorising the difference of two cubes

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Common Mistakes: Writing the converse, inverse and contrapositive of one statement

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Common Mistakes: The number of ways of dividing a class into groups

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IGCSE Additional Maths Y11: The area common to two overlapping circles — Show All Working

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