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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 "Practice: Limiting friction, and the greatest value it can reach"

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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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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Full worked exam-style problem combining gradient, distance and midpoint

I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r

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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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Quiz me rapid-fire on expanding and factorising

I am in SS 1. I'm going to explain a rapid-fire quiz alternating between expanding a brack

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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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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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Show All Working: A conjugate where the surd term comes first

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

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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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Show All Working: Finding a and b when a plus b root 2 equals a given surd

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on finding a and b

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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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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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Explain Back: What it means for an operation to be associative

I have just studied what it means for an operation to be associative in my SS1 Further Mat

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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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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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Worked Example: Rewriting a negative index as a fraction

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

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Explain Back: A fractional index with a numerator above one

I have just studied a fractional index with a numerator above one in my SS1 Further Mathem

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Show All Working: Simplifying an expression that mixes the index types

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

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Worked Example: Writing an index statement as a logarithm

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

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