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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.

De Morgan's laws for sets

I am in SS 1. Teach me De Morgan's laws for sets, (A union B)' = A' intersection B' and (A

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Logical reasoning puzzle solved using sets

I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people

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Word problem: arithmetic sequence in a savings context

I am in SS 1. Teach me a real-life word problem modelled by an arithmetic sequence, such a

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Recurring decimals as an infinite geometric series

I am in SS 1. I'm going to explain how a recurring decimal, such as 0.777..., can be writt

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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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Gradient from a linear equation

I am in SS 1. I'm going to explain finding the gradient and y-intercept of a line directly

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Coordinate geometry involving a right-angle condition to find x

I am in SS 1. Teach me finding an unknown coordinate x so that two given line segments mee

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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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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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Solving simultaneous linear equations by substitution

I am in SS 1. I'm going to explain solving a pair of simultaneous linear equations by the

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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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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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Explain Back: Where the surds sit on the number line

I have just studied where the surds sit on the number line in my SS1 Further Mathematics c

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WAEC Prep: Pi and root 2 as the two best-known irrational numbers

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

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Worked Example: What makes two surds equal

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

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Quiz: Reducing two surds to the same root in order to compare them

Act as my SS1 Further Mathematics tutor and quiz me on reducing two surds to the same root

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