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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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724 prompts matching "prove an argument invalid using a truth table"

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

Verifying an index law with numbers

I am in SS 1. I'm going to explain verifying that a^m divided by a^n equals a^(m-n) using

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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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Rationalising using the conjugate

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

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Surd word problem: diagonal of a rectangle

I am in SS 1. Teach me a word problem asking for the exact length of the diagonal of a rec

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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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Solving a surd equation that gives an extraneous root

I am in SS 1. Quiz me with 3 short Additional Maths questions on solving a surd equation s

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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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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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Reading and writing set notation

I am in SS 1. Teach me reading and writing basic set notation, such as element-of, subset-

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Finding n(A union B) using the formula

I am in SS 1. Quiz me with 5 short Additional Maths questions on using the formula n(A uni

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Disjoint sets and what they mean

I am in SS 1. Teach me what it means for two sets to be disjoint, giving an example and dr

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Survey word problem using a two-set Venn diagram

I am in SS 1. Teach me a classic survey word problem, such as a group of students where so

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Survey word problem using a three-set Venn diagram

I am in SS 1. Quiz me with 5 short Additional Maths questions on a WAEC-style survey word

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Universal set and its role in set problems

I am in SS 1. Teach me what a universal set is and how it affects the answer to complement

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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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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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De Morgan's laws for sets

I am in SS 1. Teach me De Morgan's laws for sets, (A union B)' = A' intersection B' and (A

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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 the first n terms of an arithmetic series

I am in SS 1. I attempted an Additional Maths question on using the formula Sn = n/2 (2a +

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