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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,010 prompts matching "Equation of a line with a given y-intercept and passing through a point"

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

Test me under exam conditions on polynomials and the remainder/factor theorems

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Test me under exam conditions on permutations and combinations

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Test me under exam conditions on sequences and series

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Test me under exam conditions on logarithms and indices

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Test me under exam conditions on measures of dispersion

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

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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 ways can a committee of 4 be chosen from 10 people

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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: expand (x+2)^5 fully using the binomial theorem

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

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Real-life application of measures of dispersion

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