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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,304 prompts matching "Practice: Why an identity element must work from both sides"

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 logarithmic equation with two conditions

I am in SS 3. Give me a structured question where I solve a logarithmic equation and must

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Structured question: geometric progression with two given terms

I am in SS 3. Give me a structured geometric progression question where two non-consecutiv

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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: 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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WAEC exam question: circular permutation with a condition

I am in SS 3. Give me a WAEC-style Further Maths question on circular permutations where t

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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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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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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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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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Solve 2sin(x) + 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x

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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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Spot my mistake: dividing a polynomial by long division

I am in SS 3. I will show you my full long division working for dividing a polynomial by a

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Spot my mistake: finding a stationary point

I am in SS 3. I will show you my working for finding and classifying a stationary point of

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Spot my mistake: geometric progression sum to infinity

I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v

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Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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Diagnose my weak topics using a short quiz

I am in SS 3. Give me one short question from each major topic covered so far in Further M

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Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

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Structured question: quadratic with roots that differ by a given amount

I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe

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Structured question: find k so a cubic has a repeated root

I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must

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Structured question: composite function domain restriction

I am in SS 3. Give me a structured question where the composite function fg(x) is undefine

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