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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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755 prompts matching "An answer left in surd form after completing the square"

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

Division law of indices

I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div

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I am in SS 1. I'm going to explain the zero index rule, showing why any nonzero number rai

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Fractional indices with numerator above 1

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

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Solving index equations with matching bases

I am in SS 1. I'm going to explain solving an index equation by rewriting both sides with

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Simplifying a fraction of two bracketed index terms

I am in SS 1. I'm going to explain simplifying a fraction of index expressions down to a s

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Laws of indices with three different bases in one line

I am in SS 1. I attempted an Additional Maths question on simplifying an expression that c

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Evaluating a negative fractional index

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

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Solving 4^x = 8^(x-1) by matching bases

I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side

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Evaluating a fractional-negative index expression

I am in SS 1. Teach me evaluating 25^(-3/2) fully as a fraction without a calculator the w

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Simplifying indices before adding like terms

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

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Index expression with three unknown letters

I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed

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Multi-part index exam question with a real context

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

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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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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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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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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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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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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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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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Set problem leading to a linear equation

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

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