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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Quiz me on the testing two statements for logical equivalence"

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: 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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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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Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f

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Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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Spot my mistake: solving an exponential equation

I am in SS 3. I will show you my working for solving an exponential equation by matching b

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Worked example: prove an argument invalid using a truth table

I am in SS 3. Show me a full worked example of testing a logical argument for validity usi

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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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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: 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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Structured question: logarithmic equation reducing to a quadratic

I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x

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Structured question: polynomial with a given remainder pattern

I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind

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Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

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Structured question: solving a trig equation involving a double angle

I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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Structured question: curve sketching using stationary points

I am in SS 3. Give me a structured question where I find the stationary points of a cubic

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Structured question: combination problem with 'at least' condition

I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc

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WAEC Prep: Adding two 2 by 2 matrices entry by entry

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Worked Example: Adding two 3 by 3 matrices

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on adding

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Explain Back: Subtracting two 3 by 3 matrices

I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L

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