Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,044 prompts matching "Quiz me on quick surd simplifications"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve the logarithmic equation log(x+1) - log(x-1) = 2
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Subscribe to unlock allSolve the logarithmic equation 2log(x) = log(x+6) + log(4)
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Subscribe to unlock allSolve the logarithmic equation log3(x^2) - log3(x+2) = 1
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Subscribe to unlock allSolve the logarithmic equation log5(x+3) + log5(2) = 2
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Subscribe to unlock allWorked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Subscribe to unlock allWorked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Subscribe to unlock allWorked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Subscribe to unlock allWorked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Subscribe to unlock allWorked 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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Subscribe to unlock allWorked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Subscribe to unlock allWorked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Subscribe to unlock allWorked example: find the equation of the line through (2,3) and (5,9)
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Subscribe to unlock allWorked example: find the equation of a circle with centre (2,-1) and radius 4
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Subscribe to unlock allWorked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Subscribe to unlock allWorked example: find the unit vector in the direction of (6,8)
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Subscribe to unlock allWorked example: how many ways can 5 books be arranged on a shelf
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Subscribe to unlock allWorked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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Subscribe to unlock allWorked example: find the term in x^3 in the expansion of (2x-1)^6
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Subscribe to unlock allWorked example: find the coefficient of x^4 in the expansion of (1+3x)^7
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Subscribe to unlock allWorked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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