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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "The change of base formula for logarithms"

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

Finding the equation of a line parallel to the x-axis or y-axis through a point

I am in SS 1. I'm going to explain finding the equation of a line through a given point th

Finding the equation of a circle from its centre and radius

I am in SS 1. Teach me finding the equation of a circle in the form (x-a)^2 + (y-b)^2 = r^

Distance from a point to the centre of a circle

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on usin

Explaining gradient, midpoint and distance formulas in my own words

I am in SS 1. Quiz me with 4 short Additional Maths questions on the three core coordinate

Common mistakes in coordinate geometry formulas

Teach me the most common mistakes SS1 students make with coordinate geometry formulas, suc

Worked Example: Why the square root of a non-square whole number is irrational

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th

Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

Act as my SS1 Further Mathematics tutor. Work a question on the decimal expansion of an ir

Final Revision: Expressing a rationalised answer in the form a root b over c

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of e

Learn: The conjugate of a compound surd expression

You are my personal SS1 Further Mathematics tutor. Teach me the conjugate of a compound su

Final Revision: Why closure is checked before any other property

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

Learn: What it means for one operation to distribute over another

You are my personal SS1 Further Mathematics tutor. Teach me what it means for one operatio

Spot My Mistake: Finding the inverse of a given element

Act as my SS1 Further Mathematics tutor. Work a question on finding the inverse of a given

Common Mistakes: Why the index laws need the bases to match

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on why

Final Revision: Converting an answer back out of index form

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

WAEC Prep: Simplifying a logarithmic expression before evaluating it

Act as my SS 1 Further Mathematics teacher setting an examination question. Give me a ques

Final Revision: Proving a logarithmic identity from the laws

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of p

Practice: The relation between log a of b and log b of a

Act as my SS1 Further Mathematics tutor. Give me five practice questions on the relation b

Explain Back: A logarithmic equation written in two different bases

I have just studied a logarithmic equation written in two different bases in my SS1 Furthe

WAEC Prep: Solving an exponential equation by taking logarithms of both sides

Act as my SS 1 Further Mathematics teacher setting an examination question. Give me a ques

Worked Example: Writing out the terms of a sequence from its nth term

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on writin

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