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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 change of base formula in a calculation"

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 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 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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Give me a 5-minute recap of the quadratic formula

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

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Quiz: A negative value of b in the quadratic formula

Act as my SS2 Further Mathematics tutor and quiz me on a negative value of b in the quadra

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IGCSE Additional Maths Y11: The rate at which the volume of a cone changes — Explain It Back

I am in SS 2. I have just studied the rate at which the volume of a cone changes for Cambr

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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

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Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

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Teach me the binomial expansion formula

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

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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

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Worked example: find the equation of the line through (2,3) and (5,9)

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 midpoint of the segment joining (-3,5) and (7,-1)

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 equation of a circle with centre (2,-1) and radius 4

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

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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 unit vector in the direction of (6,8)

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Real-life application of the quadratic formula

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

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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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