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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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730 prompts matching "Cambridge-style structured question: line meets a curve"

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

Sequences applied to simple interest vs compound interest

I am in SS 1. Teach me how simple interest over time behaves like an arithmetic sequence w

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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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Distance between two coordinate points

I am in SS 1. I attempted an Additional Maths question on finding the distance between two

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Distance formula with negative coordinates

I am in SS 1. Teach me finding the distance between two points where some coordinates are

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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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Gradient as a rate of change interpretation

I am in SS 1. I'm going to explain interpreting the gradient of a straight-line graph as a

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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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Expanding a product of three brackets

I am in SS 1. I'm going to explain expanding a product of three linear brackets, such as (

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Factorising by grouping four terms

I am in SS 1. Teach me factorising an expression with four terms by grouping them in pairs

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Simplifying an algebraic fraction by factorising first

I am in SS 1. Teach me simplifying an algebraic fraction by factorising both the numerator

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Dividing algebraic fractions

I am in SS 1. I attempted an Additional Maths question on dividing one algebraic fraction

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Simplifying a complex algebraic fraction

I am in SS 1. Teach me simplifying a 'fraction within a fraction' algebraic expression by

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Changing the subject when the variable appears twice

I am in SS 1. Teach me changing the subject of a formula where the required letter appears

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Substituting values into an algebraic expression

I am in SS 1. Teach me substituting given numerical values into an algebraic expression co

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Solving a word problem using simultaneous equations

I am in SS 1. I'm going to explain a word problem that must be solved by setting up and so

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Simplifying expressions with like and unlike terms

I am in SS 1. Teach me correctly identifying and collecting like terms in a longer algebra

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Common mistakes with composite and inverse functions

Teach me the most common mistakes SS1 students make with composite and inverse functions,

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Learn: Telling a rational number from an irrational one

You are my personal SS1 Further Mathematics tutor. Teach me telling a rational number from

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Quiz: Writing a recurring decimal as a fraction to show it is rational

Act as my SS1 Further Mathematics tutor and quiz me on writing a recurring decimal as a fr

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Practice: Deciding whether root 16 is rational or irrational

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

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