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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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415 prompts matching "Testing two vectors for perpendicularity"

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

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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Rationalising the denominator when it's a surd minus a surd

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

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Simplifying nested surds

I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su

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Surds and indices together in one question

I am in SS 1. Teach me a question that requires converting a surd to index form, simplifyi

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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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Surds in a coordinate geometry distance calculation

I am in SS 1. Teach me a coordinate geometry question where applying the distance formula

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Set-builder notation basics

I am in SS 1. I'm going to explain reading and writing sets using set-builder notation, su

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Proper subsets versus subsets

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

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Working backwards from Venn diagram totals

I am in SS 1. I'm going to explain a Venn diagram question where I am given some regions a

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Equal sets versus equivalent sets

I am in SS 1. I attempted an Additional Maths question on the difference between two 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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Interpreting neither-nor in a Venn diagram problem

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

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Explaining Venn diagram vocabulary in my own words

I am in SS 1. Teach me the key vocabulary of Venn diagrams and set notation such as univer

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A three-region overlap problem with unknowns

I am in SS 1. Quiz me with 4 short Additional Maths questions on a Venn diagram word probl

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Common mistakes with set notation

Quiz me with 4 short Additional Maths questions on the most common set notation mistakes S

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Power set of a three-element set

I am in SS 1. I'm going to explain listing the full power set of a three-element set, incl

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Set theory laws: commutative and associative

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

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Quiz me rapid-fire on set notation symbols

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

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Logical reasoning puzzle solved using sets

I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people

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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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