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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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902 prompts matching "Deciding whether a given number is a term of a sequence"

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 log3(x^2) - log3(x+2) = 1

Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

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

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Worked example: simplify (3+2i) + (1-5i)

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Worked example: simplify (2+i)(3-4i)

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Worked example: simplify (4+3i)/(1-2i)

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

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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: expand (x+2)^5 fully using the 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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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Give your answer correct to command word: quadratic formula

I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t

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Quiz me on quadratic inequalities

I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu

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Cambridge-style structured question: line meets a curve

I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute

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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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