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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "The discriminant, and what each of its three cases means"

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

Find the value of k for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's

Teach me what a polynomial is

Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term

Quiz me on when a conjunction of three statements is true

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Quiz me on the inclusive sense of 'or' in a disjunction

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Teach me converse and inverse propositions

Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a

Teach me probability using permutations and combinations

Act as my SS2 Further Maths tutor. Teach me how to solve probability problems using permut

Teach me the binomial expansion formula

Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c

Worked example: expanding (2x-3)^5 using the binomial formula

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi

Quiz me on the laws of logarithms used to solve an equation

Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin

Teach me adding and subtracting complex numbers

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Teach me adding and subtracting matrices

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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

Teach me mean, variance and standard deviation

Act as my SS2 Further Maths tutor. Teach me how to calculate the mean, variance and standa

Teach me measures of dispersion for grouped data

Act as my SS2 Further Maths tutor. Teach me how to estimate the mean and standard deviatio

Summarise polynomials and the remainder/factor theorems for quick revision

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Test me under exam conditions on polynomials and the remainder/factor theorems

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Worked example: find the magnitude of the vector (3,4)

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

Worked example: find the unit vector in the direction of (6,8)

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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

Real-life application of testing the validity of an argument

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

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