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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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319 prompts matching "Simplifying a surd by extracting square factors"

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 approximating powers using binomial expansion

Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate

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Worked example: evaluating a power using binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp

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Teach me the laws of indices at Further Maths level

Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu

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Teach me rationalising the denominator

Act as my SS2 Further Maths tutor. Teach me how to rationalise a denominator containing a

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Worked example: finding where a line meets a circle

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

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Worked example: proving a trigonometric identity

Act as my SS2 Further Maths tutor. Show me a full worked example of proving a trigonometri

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Worked example: solving a quadratic trigonometric equation

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri

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Teach me finding stationary points

Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom

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Teach me adding and subtracting complex numbers

Act as my SS2 Further Maths tutor. Teach me how to add and subtract complex numbers by com

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Teach me what a matrix is

Act as my SS2 Further Maths tutor. Teach me what a matrix is, including the meaning of its

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Teach me adding and subtracting matrices

Act as my SS2 Further Maths tutor. Teach me how to add and subtract matrices of the same o

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Worked example: solving simultaneous equations using matrices

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu

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Spot my mistake finding a vector's magnitude

Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma

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Worked example: standard deviation of a small data set

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

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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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Solve the logarithmic equation log2(x) + log2(x-2) = 3

Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =

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Solve the logarithmic equation log(x+1) - log(x-1) = 2

Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =

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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +

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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

Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =

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