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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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732 prompts matching "Structured question: solve a cubic equation fully"

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

Rewriting an expression with only positive indices

I am in SS 1. Teach me rewriting an expression such as 3x^-2 y^3 z^-1 so every index in it

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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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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 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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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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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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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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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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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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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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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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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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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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Distributive law for sets

I am in SS 1. I attempted an Additional Maths question on the distributive law connecting

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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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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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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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