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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 "Universal set and its role in set problems"

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

Quiz: The point about which the total moment of a set of forces vanishes

Act as my SS3 Further Mathematics tutor and quiz me on the point about which the total mom

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Practice: The components of a vector given its magnitude and direction

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the components

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Quiz: The product of a complex number and its conjugate

Act as my SS3 Further Mathematics tutor and quiz me on the product of a complex number and

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Practice: The sum of a complex number and its conjugate

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum of a c

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Quiz: Using the initial conditions to fix the constants in a kinematics problem

Act as my SS3 Further Mathematics tutor and quiz me on using the initial conditions to fix

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Quiz: A rate of change problem about a vessel filling with water

Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve

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Worked Example: Finding the first term and the common difference from two given terms

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

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Explain pre-multiplication and post-multiplication

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

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Compare expanding a determinant along different rows

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

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Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

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Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

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Resolve a force into horizontal and vertical components #2

Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the

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Resolve a force into horizontal and vertical components #3

I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to

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Resolve a force into horizontal and vertical components #4

I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to

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Solve a binomial probability problem #2

Give me a binomial distribution problem where n=10, p=0.5, find P(X is at least 7), using

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Solve a binomial probability problem #3

I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin

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Solve a binomial probability problem #4

I am in SS 3. Give me a binomial distribution problem where n=12, p=0.4, find P(X=5), usin

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Solve a binomial probability problem #5

I am in SS 3. Give me a binomial distribution problem where n=5, p=0.6, find the probabili

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Explain friction and the coefficient of friction

I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t

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Solve a friction and forces of equilibrium problem #1

I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi

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