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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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712 prompts matching "why a line tangent to a curve gives equal roots"

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

Quiz me on quick surd simplifications

I am in SS 1. Teach me a rapid-fire set of surd simplification questions typical of the no

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A full WAEC-style surds past question

I am in SS 1. Quiz me with 3 short Additional Maths questions on a complete WAEC/Cambridge

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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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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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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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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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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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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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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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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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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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Finding the nth term of a geometric sequence

I am in SS 1. Quiz me with 5 short Additional Maths questions on finding the nth term form

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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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Recognising arithmetic vs geometric sequences

I am in SS 1. Teach me how to tell from a list of numbers whether a sequence is arithmetic

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Word problem: arithmetic sequence in a savings context

I am in SS 1. Teach me a real-life word problem modelled by an arithmetic sequence, such a

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