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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,007 prompts matching "Explain how to present working for full WAEC marks"

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0

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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: 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: 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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Real-life application of the quadratic formula

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the qu

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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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Mark scheme walkthrough: factorising a trinomial

I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr

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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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Worked Example: Factorising a quadratic whose leading coefficient is not one

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

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Practice: Working through a quadratic by completing the square, step by step

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Practice: Giving the roots correct to two decimal places

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Practice: Forming an equation from a given sum and product

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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Practice: The value of alpha to the fourth plus beta to the fourth

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Worked Example: Substituting into the quadratic and tidying up

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