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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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1,331 prompts matching "An element with no inverse under a given operation"

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

Show All Working: Arrangements of the letters of a given word

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on arrangemen

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Final Revision: Combinations used with the addition and multiplication principles

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Practice: Solving an equation of the form sin of 2x equals a given value

Act as my SS3 Further Mathematics tutor. Give me five practice questions on solving an equ

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Show All Working: The time at which two bodies are nearest one another

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the time a

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Spot my mistake: Treating any vector with small components as a unit vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating any vector with

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WAEC exam question: arranging books on a shelf with a rule

I am in SS 3. Give me a WAEC-style permutations question about arranging books on a shelf

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AP with 3rd term 11 and 8th term 31: find a and d

I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1

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GP with 3rd term 18 and 6th term 486: find a and r

I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18

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Give me a past-paper style question bank for trigonometric identities and equations

I am in SS 3. Give me a bank of four exam-style questions on proving identities and solvin

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Structured question: circle with a diameter given by two endpoints

I am in SS 3. Give me a structured coordinate geometry question where two points are the e

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Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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Teach me the chain rule with an example

I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o

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Self-inverse functions

I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct

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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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Show that command word: sum of an arithmetic progression

I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n

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