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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,301 prompts matching "An arithmetic progression with a negative common difference"

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

Composite functions gf(x)

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Finding the inverse of a simple linear function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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Function notation applied to a real-world formula

I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu

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Finding f(x) given a description of the function rule

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Explaining function notation to a classmate

I am in SS 3. I'm going to explain explaining function notation and what f(x) really means

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Quiz me rapid-fire on evaluating functions

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a ra

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Structured question: equation of a line through two points

I am in SS 3. Give me a structured question where I find the equation of a straight line t

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Structured question: perpendicular bisector of a line segment

I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr

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Structured question: prove a trigonometric identity

I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu

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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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Structured question: find the equation of a normal to a curve

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

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Timed 20-minute Further Maths exam practice

I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering

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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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Structured question: two compound statements compared row by row

I am in SS 3. Give me a structured question where I must build truth tables for two differ

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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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Quiz me on nPr versus nCr notation

I am in SS 3. Quiz me on when to use nPr and when to use nCr, giving me short scenarios an

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Structured question: probability using combinations, exam style

I am in SS 3. Give me a structured question where I must find a probability by dividing th

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Express x^2 + 10x - 3 in completed-square form

I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for

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Express x^2 - 14x + 20 in completed-square form

I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo

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Express x^2 + 5x + 1 in completed-square form

I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form

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