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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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1,320 prompts matching "Factorising the difference of two squares"

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

Structured question: solve a trig equation for all solutions in range

I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an

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Non-calculator paper: exact trigonometric values

I am in SS 3. Give me a non-calculator Additional Maths question requiring exact trigonome

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WAEC exam question: mixed AP and GP problem

I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet

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Show that command word: binomial coefficient identity

I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi

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Structured question: find and classify all stationary points

I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta

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Structured question: identify a tautology using a truth table

I am in SS 3. Set me a structured question where I build a truth table for a compound stat

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WAEC exam question: predicate logic quantifiers

I am in SS 3. Give me a WAEC-style question asking me to translate a statement using the u

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Spot my mistake in a Pascal's row truth table

I am in SS 3. I will show you my attempt at a truth table for a compound proposition with

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Structured question: choosing a committee with a condition

I am in SS 3. Set me a structured combinations question where a committee must be chosen f

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Show all your working command word: permutation problem

I am in SS 3. Give me a permutation exam question that instructs 'show all your working',

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Structured question: permutation versus combination in one paper

I am in SS 3. Give me a structured two-part question where part (a) requires a permutation

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Spot my mistake in a combination calculation

I am in SS 3. I will show you my working for a combination problem. Check whether I used n

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Choose your own method command word: solving a quadratic

I am in SS 3. Give me a quadratic equation and ask me to solve it by whichever method I th

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Structured question: fully factorise x^3 + 4x^2 - 11x - 30

I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi

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WAEC exam question: solving f(x) = c for an unknown x

I am in SS 3. Give me a WAEC-style function question where I am given f(x) and a target ou

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Solve 2^(3x-1) = 16 with full working

I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style

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Simplify (8^(2/3) times 4^(-1/2)) fully

I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2

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Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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Show that (sqrt3+1)^2 = 4+2sqrt3

I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that

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Solve log2(x+1) + log2(x-1) = 3 with full working

I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e

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