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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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500 prompts matching "Prove command word: line does not intersect a curve"

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

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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Solving a surd equation with terms on both sides

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

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Estimating the value of a surd

I am in SS 1. I'm going to explain estimating the approximate value of a surd such as root

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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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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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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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Simplifying a surd expression before squaring

I am in SS 1. I attempted an Additional Maths question on why it matters to simplify a sur

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Drawing a two-set Venn diagram from data

I am in SS 1. I attempted an Additional Maths question on drawing a Venn diagram for two o

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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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Set operations exam question, multi-part

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

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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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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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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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