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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Structured question: AP and GP sharing the same first three terms"

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

Rationalising a denominator with a surd and integer

I am in SS 1. I'm going to explain rationalising a denominator such as 6 divided by (2 roo

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Dividing surds using the quotient rule

I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d

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Union and intersection of two number sets

I am in SS 1. I'm going to explain finding the union and intersection of two given sets of

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Finding the nth term of an arithmetic sequence

I am in SS 1. I'm going to explain finding the nth term formula of an arithmetic sequence,

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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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Finding a term given the sum of a series

I am in SS 1. I'm going to explain finding a specific term of a sequence by first finding

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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

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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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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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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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Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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Worked Example: Why multiplying by the conjugate clears the surd

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

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Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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Worked Example: Reading the symbol used for a binary operation

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

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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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Worked Example: Testing the even numbers for closure under addition

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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Worked Example: Testing whether star distributes over plus

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

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Explain Back: The law for a product raised to a power

I have just studied the law for a product raised to a power in my SS1 Further Mathematics

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