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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Express x^2 - 14x + 20 in completed-square form"

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Worked example: find the equation of the line through (2,3) and (5,9)

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Worked example: find the distance between the points (1,2) and (4,6)

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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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 magnitude of the vector (3,4)

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Worked example: find a+b where a=(2,-1) and b=(-3,5)

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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

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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)

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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: in how many ways can 6 people be seated around a circular table

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Real-life application of the quadratic formula

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Give me a 5-minute recap of quadratic equations

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Give me a 5-minute recap of polynomial division

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Give me a 5-minute recap of the remainder theorem

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Give me a 5-minute recap of the factor theorem

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Give me a 5-minute recap of cubic equations

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Give me a 5-minute recap of propositions and compound statements

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