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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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643 prompts matching "Proving that a quadratic expression is positive for every real x"

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

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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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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Reading values off a completed Venn diagram

I am in SS 1. Teach me reading and interpreting information from a completed two-set Venn

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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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Using sets to test simple logical statements

I am in SS 1. Quiz me with 4 short Additional Maths questions on using sets to test whethe

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Empty set and its notation

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

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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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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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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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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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Sum of an arithmetic series given the first and last term

I am in SS 1. Teach me using the formula Sn = n/2 (a + l) to find the sum of an arithmetic

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Finding the number of terms in an arithmetic series

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

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Sum of the first n terms of a geometric series

I am in SS 1. I'm going to explain using the formula Sn = a(r^n - 1)/(r - 1) to find the s

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Finding a term given the sum of a series

I am in SS 1. I'm going to explain finding a specific term of a sequence by first finding

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Recurring decimals as an infinite geometric series

I am in SS 1. I'm going to explain how a recurring decimal, such as 0.777..., can be writt

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Sum of a geometric series with a negative common ratio

I am in SS 1. Teach me finding the sum of a geometric series where the common ratio is neg

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Series exam question with show all working

I am in SS 1. I'm going to explain a full Cambridge/Additional Maths style series question

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Multi-part progression problem with an unknown first term

I am in SS 1. Quiz me with 5 short Additional Maths questions on a multi-part question whe

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