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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,242 prompts matching "Using change of base to prove a stated relation"

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

Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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Explain equal complex numbers

I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal

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Integration practice question #1

I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +

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Integration practice question #2

I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi

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Integration practice question #3

I am in SS 3. Give me an integration problem where I must find the definite integral of x^

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Find and classify stationary points #1

I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify

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Find and classify stationary points #2

I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary

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Find and classify stationary points #3

I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum

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Projectile motion problem #1

I am in SS 3. Give me a projectile motion problem where a ball is projected at 20 m/s at 3

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Projectile motion problem #4

I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a

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Explain the difference between speed and velocity in mechanics

I am in SS 3. Explain the difference between speed and velocity, and between distance and

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WAEC Further Mathematics command words explained

I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and 'd

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Diagnose my exam readiness for WAEC Further Maths

I am in SS 3. Ask me a set of questions covering matrices, vectors, calculus and mechanics

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Worked example: 3x3 matrix multiplication

I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every

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Spot my mistake in a Cramer's rule solution

I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su

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Spot my mistake finding a resultant force

I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used

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Teach me resolving forces on an inclined plane

I am in SS 3. Teach me how to resolve forces along and perpendicular to an inclined plane,

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Teach me the normal distribution standardisation formula

I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -

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WAEC Further Mathematics: matrices in a real-world context

I am in SS 3. Give me a WAEC Further Mathematics style word problem that applies matrix op

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Teach me the Poisson distribution from scratch

I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia

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