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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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1,334 prompts matching "A word problem that leads to an equation in surd form"

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

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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Explain back: difference between permutations and combinations

I am in SS 3. Let me explain in my own words why order matters for permutations but not fo

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Structured question: binomial expansion with a negative term

I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking

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Evaluate log5(200) using change of base

I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang

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Structured question: line through (1,4) and (5,-2)

I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and

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Prove that (1-cos^2x)/sinx = sinx

I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que

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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 an exam formula sheet for quadratic factorisation

I am in SS 3. Build me a short formula sheet covering every formula I need for factorising

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Give me an exam formula sheet for line and curve tangency conditions

I am in SS 3. Build me a short formula sheet covering every formula I need for conditions

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Give me an exam formula sheet for the factor theorem

I am in SS 3. Build me a short formula sheet covering every formula I need for the factor

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Give me an exam formula sheet for cubic equations

I am in SS 3. Build me a short formula sheet covering every formula I need for solving cub

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Give me an exam formula sheet for trigonometric identities and equations

I am in SS 3. Build me a short formula sheet covering every formula I need for proving ide

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Give me a past-paper style question bank for quadratic factorisation

I am in SS 3. Give me a bank of four exam-style questions on factorising quadratic trinomi

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Give me a past-paper style question bank for completing the square

I am in SS 3. Give me a bank of four exam-style questions on completing the square, rangin

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Give me a past-paper style question bank for quadratic inequalities

I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie

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Give me a past-paper style question bank for line and curve tangency conditions

I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t

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Give me a past-paper style question bank for the remainder theorem

I am in SS 3. Give me a bank of four exam-style questions on the remainder theorem, rangin

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Give me a past-paper style question bank for the factor theorem

I am in SS 3. Give me a bank of four exam-style questions on the factor theorem, ranging f

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Give me a past-paper style question bank for indices

I am in SS 3. Give me a bank of four exam-style questions on the laws of indices at Furthe

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