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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 dot product of a vector with itself"

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

Surds combined with algebraic terms

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on simp

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Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

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

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

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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

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on usin

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Explaining the difference between a sequence and a series

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on expl

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Alternating sequences and their pattern

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on iden

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Coordinate geometry proof: right-angled triangle

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Coordinate geometry proof: isosceles triangle

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 gradients and equations of lines

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a ra

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Solving a linear inequality and showing the solution

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

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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

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

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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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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

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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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