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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The vector equation of a line through a point in a given direction"

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

IGCSE Additional Maths Y11: The integral of a sum of terms — Worked Example

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Take me through one co

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IGCSE Additional Maths Y11: The area between a curve and a straight line — Teach Me

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I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Teach me the area between a curve and a straight line the way the syllabus presents it, using its command words such as 'show that' and 'hence'. Work one example through step by step, then set me a short question in the same style.

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Teach me the completing the square when the coefficient of x squared is one

You are my SS2 Further Mathematics tutor. Teach me completing the square when the coeffici

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Teach me writing the sum and product of the roots from the coefficients

You are my SS2 Further Mathematics tutor. Teach me writing the sum and product of the root

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Quiz me on the finding the remainder when a cubic is divided by a linear factor

Act as my SS2 Further Mathematics tutor and quiz me on finding the remainder when a cubic

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

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Teach me the number of arrangements of n distinct objects

You are my SS2 Further Mathematics tutor. Teach me the number of arrangements of n distinc

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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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Worked example: finding the middle term of a binomial expansion

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

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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 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 finding the modulus of a complex number

You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number

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Teach me finding the determinant of a 2x2 matrix

Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an

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Teach me finding the determinant of a two by two matrix

You are my SS2 Further Mathematics tutor. Teach me the determinant of a two by two matrix,

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Worked example: find the distance between the points (1,2) and (4,6)

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

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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

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

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

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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

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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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Give me a 5-minute recap of completing the square

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square

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