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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 "Forming a new equation whose roots are the reciprocals of the original"

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

Simplifying indices before adding like terms

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

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Index expression with three unknown letters

I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed

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Multiplying a surd by an integer

I am in SS 1. Teach me multiplying a surd by a whole number, such as 4 times root 5, and s

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Expanding brackets containing surds

I am in SS 1. Quiz me with 4 short Additional Maths questions on expanding a bracket conta

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Expanding a binomial surd bracket

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

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Squaring a surd expression

I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin

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Rationalising a denominator with a single surd

I am in SS 1. Quiz me with 4 short Additional Maths questions on rationalising a denominat

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Rationalising a more complex conjugate denominator

I am in SS 1. I attempted an Additional Maths question on rationalising a fraction with a

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Distinguishing rational and irrational numbers

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

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Simplifying a fraction with a surd numerator

I am in SS 1. Teach me simplifying a fraction where the numerator contains a surd, such as

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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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Proving a surd statement is true or false

I am in SS 1. I attempted an Additional Maths question on proving whether a given surd sta

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Surds in trigonometric exact values

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

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Common surd mistakes to watch out for

Quiz me with 4 short Additional Maths questions on the most common mistakes SS1 Further Ma

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Union and intersection of two number sets

I am in SS 1. I'm going to explain finding the union and intersection of two given sets of

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Finding a missing intersection from set sizes

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

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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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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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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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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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