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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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979 prompts matching "Common mistakes with set notation"

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

Scalar multiplication of a matrix #4

I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a

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Explain the zero matrix in matrix algebra

I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s

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WAEC past-question practice: matrices #2

I am in SS 3. Set me a typical WAEC Further Mathematics question combining matrix multipli

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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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Find the inverse of a 2x2 matrix #4

Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ

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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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Find the resultant of two forces #2

Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t

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Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

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Find the resultant of several concurrent forces #1

Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a

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Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

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Explain the triangle of forces method

Explain how the triangle of forces method finds a resultant, and compare it with the paral

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Quiz me on equilibrium conditions

I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili

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Quiz me on rates of change problems

I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def

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Learn: Simplifying a surd by extracting the largest perfect square

You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti

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Learn: The multiplication and division laws of indices used together

You are my personal SS3 Further Mathematics tutor. Teach me the multiplication and divisio

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WAEC Prep: The change of base formula for logarithms

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

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Learn: The sum and the product of the roots read from the coefficients

You are my personal SS3 Further Mathematics tutor. Teach me the sum and the product of the

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WAEC Prep: Forming an equation whose roots are each two more than the original

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

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Learn: Finding alpha squared plus beta squared from the sum and product

You are my personal SS3 Further Mathematics tutor. Teach me finding alpha squared plus bet

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