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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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744 prompts matching "Structured question: cubic equation from three given 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: Solving modulus of x less than a

Act as my SS1 Further Mathematics tutor and quiz me on solving modulus of x less than a. A

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Practice: Solving modulus of x greater than a

Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving modulu

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Final Revision: Writing the inequalities that describe a shaded region

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

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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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Power of a power rule

I am in SS 1. Quiz me with 3 short Additional Maths questions on the power-of-a-power rule

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Negative indices in algebraic fractions

I am in SS 1. I attempted an Additional Maths question on simplifying an algebraic express

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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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Simplifying a mixed index expression

I am in SS 1. Quiz me with 3 short Additional Maths questions on simplifying an expression

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Simplifying bracketed algebraic index expressions

I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying an expression

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Indices word problem: bacteria growth

I am in SS 1. Teach me a word problem where a quantity grows according to an index formula

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Comparing the size of two large index numbers

I am in SS 1. Quiz me with 5 short Additional Maths questions on comparing the size of two

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Multiplying and dividing indices in one expression

I am in SS 1. Teach me simplifying (a^5 x a^-2) divided by a^3 fully, quoting which law is

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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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Index laws with an unknown letter base

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

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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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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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Evaluating (1/2)^-3 without a calculator

I am in SS 1. I attempted an Additional Maths question on evaluating (1/2)^-3 fully withou

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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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Adding and subtracting like surds

I am in SS 1. I'm going to explain adding and subtracting surds that share the same irrati

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