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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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706 prompts matching "a GP with first term 4 and common ratio 2, find the 8th term and the sum of the"

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Cross-multiplying to solve an equation with fractions

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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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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Worked Example: Why the square root of a non-square whole number is irrational

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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

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Worked Example: Rationalising a denominator that is a single surd

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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: 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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Common Mistakes: A surd equation that has no real solution

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Worked Example: Reading the symbol used for a binary operation

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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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Common Mistakes: Closure on a set of three elements under a stated rule

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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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Common Mistakes: Subtraction as an example of neither law

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Common Mistakes: Distributivity on a set of three elements

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

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Common Mistakes: Why the index laws need the bases to match

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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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Common Mistakes: Writing a root as a fractional index before simplifying

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Worked Example: Solving an indicial equation where one side must be factorised first

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