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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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746 prompts matching "Cambridge-style question: change of base formula"

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

Sum of the first n terms of a geometric series

I am in SS 1. I'm going to explain using the formula Sn = a(r^n - 1)/(r - 1) to find the s

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Sum of a geometric series with a negative common ratio

I am in SS 1. Teach me finding the sum of a geometric series where the common ratio is neg

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Quiz me rapid-fire on nth term formulas

I am in SS 1. I attempted an Additional Maths question on a rapid quiz where I am given a

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Sum of a series expressed with algebraic terms

I am in SS 1. Teach me finding the sum of the first n terms of a series where each term is

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Area of a triangle from three coordinates

I am in SS 1. I'm going to explain finding the area of a triangle given the coordinates of

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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^

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Equation of a line with a given y-intercept and passing through a point

I am in SS 1. I attempted an Additional Maths question on finding the equation of a straig

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Common mistakes in coordinate geometry formulas

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

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Algebraic long division of a simple polynomial by a linear factor

I am in SS 1. Quiz me with 4 short Additional Maths questions on dividing a simple cubic e

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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

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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

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Show All Working: Classifying a mixed list of numbers as rational or irrational

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on classifying a m

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WAEC Prep: Ordering a list of surds by size

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

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Common Mistakes: Expressing root 50 as a multiple of root 2

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

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Common Mistakes: Expanding the product of two surd brackets

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

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Quiz: Rationalising a denominator of the form one over root 3

Act as my SS1 Further Mathematics tutor and quiz me on rationalising a denominator of the

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Common Mistakes: Rationalising a denominator of the form root a over root b

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

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Learn: The conjugate of a compound surd expression

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

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

Act as my SS1 Further Mathematics tutor and quiz me on rationalising a denominator of the

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising

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