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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 "Practice: The frictional force on a body on a rough incline"

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Give me practice solving logarithmic equations

Act as my SS2 Further Maths tutor. Give me six practice logarithmic equations to solve, at

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Give me practice solving trigonometric equations

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Give me practice on sequences and series

Act as my SS2 Further Maths tutor. Give me eight practice questions on arithmetic and geom

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Give me practice on differentiation and stationary points

Act as my SS2 Further Maths tutor. Give me six practice questions on differentiating polyn

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Give me practice on complex numbers

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Give me practice on matrices

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Give me practice on vectors

Act as my SS2 Further Maths tutor. Give me six practice questions on vector addition, magn

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Give me practice on measures of dispersion

Act as my SS2 Further Maths tutor. Give me five practice questions on calculating variance

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

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Worked 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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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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Worked 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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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 stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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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 term in x^3 in the expansion of (2x-1)^6

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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Practice: Factorising a quadratic with a common factor taken out first

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