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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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434 prompts matching "Quiz: Forming a quadratic equation whose roots are given"

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 cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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

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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: find the equation of the line through (2,3) and (5,9)

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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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: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Real-life application of completing the square

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

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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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Real-life application of cubic equations

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

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Real-life application of trigonometric equations

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

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Real-life application of sum and product of roots

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

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Give me a 5-minute recap of completing the square

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square

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Give me a 5-minute recap of the quadratic formula

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula

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Give me a 5-minute recap of cubic equations

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of cubic equations, cove

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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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WAEC-style multi-mark question on completing the square

I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four

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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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Structured question: quadratic formula with exact surd answer

I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa

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