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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,025 prompts matching "Quiz: Writing a recurring decimal as a fraction to show it is rational"

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

Quiz me on combinations where one member must be included

Act as my SS2 Further Maths tutor. Quiz me with five combination problems, mixing straight

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Quiz me on probability with combinations

Act as my SS2 Further Maths tutor. Quiz me with four probability problems that require com

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Quiz me on finding specific terms in expansions

Act as my SS2 Further Maths tutor. Quiz me with three binomial expansions and ask me to fi

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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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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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Teach me the basic trigonometric identities

Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including

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Quiz me on trigonometric identities

Act as my SS2 Further Maths tutor. Quiz me with four trigonometric identities that I must

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Worked example: sum to infinity of a geometric series

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the sum to inf

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Quiz me on arithmetic and geometric progressions

Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome

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Teach me the basics of differentiation

Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom

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Worked example: finding and classifying a stationary point

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

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Quiz me on complex number operations

Act as my SS2 Further Maths tutor. Quiz me with five questions on adding, subtracting, mul

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Quiz me on matrix operations

Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting and

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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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Quiz me on mean and standard deviation

Act as my SS2 Further Maths tutor. Quiz me with three data sets and ask me to calculate th

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

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

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

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

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

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

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

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

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