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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 "The triangle of forces used together with the cosine rule"

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Index laws with an unknown letter base

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

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Verifying an index law with numbers

I am in SS 1. I'm going to explain verifying that a^m divided by a^n equals a^(m-n) using

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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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Rationalising using the conjugate

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Solving a surd equation with terms on both sides

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Rationalising and then simplifying fully

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Surds combined with algebraic terms

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Logical reasoning with 'and' versus 'or' in sets

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Number of elements in a set from a Venn diagram region count

I am in SS 1. I'm going to explain counting n(A only), n(B only) and n(A and B) separately

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Applying the sum to infinity formula when the ratio lies between minus one and one

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Explaining the difference between a sequence and a series

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Alternating sequences and their pattern

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Quiz me rapid-fire on gradients and equations of lines

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Solving a linear inequality and showing the solution

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Cross-multiplying to solve an equation with fractions

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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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Worked Example: Adding two surds that simplify to the same root

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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

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