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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,022 prompts matching "Solving a surd equation that gives an extraneous root"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Teach me how to simplify surds

Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s

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Quiz me on simplifying surds

Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che

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Explain surds back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to simplify and ration

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Teach me changing the base of a logarithm

Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and

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Spot my mistake finding a line's equation

Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi

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Worked example: finding a term in an arithmetic progression

Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter

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Give me practice on matrices

Act as my SS2 Further Maths tutor. Give me six practice questions on matrix operations, de

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Teach me adding and subtracting vectors

Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum

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Worked example: finding the angle between two vectors

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the angle betw

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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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Spot my mistake calculating standard deviation

Act as my SS2 Further Maths tutor. I calculated the standard deviation of a data set but I

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Test me under exam conditions on quadratic equations

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on qu

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Test me under exam conditions on surds

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on su

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=

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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 3sin(x) - 1 = 0, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for

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

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

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Real-life application of sequences and series

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

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