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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,008 prompts matching "Using change of base to prove a stated relation"

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 the using the discriminant to describe the roots

Act as my SS2 Further Mathematics tutor and quiz me on using the discriminant to describe

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Explain sum and product of roots back to me

Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back

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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

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Teach me how to determine the validity of an argument

Act as my SS2 Further Maths tutor. Teach me how to determine whether a logical argument is

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Teach me how to the general term formula of a binomial expansion

You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial

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Quiz me on the binomial expansion of a bracket raised to the power four

Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex

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Worked example: solving an equation with logarithms to the same base

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on solvin

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Worked example: sum to infinity of a geometric series

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Teach me the dot product of two vectors

Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector

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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: 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:

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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

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Real-life application of vectors

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

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Real-life application of the factor theorem

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

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Real-life application of the condition for a line to be tangent to a curve

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

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Give me a 5-minute recap of the factor theorem

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the factor theorem, c

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Give me a 5-minute recap of tautologies

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of tautologies, covering

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Give me a 5-minute recap of vectors

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of vectors, covering onl

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Learn: Factorising a quadratic whose coefficient of x squared is one

You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose

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