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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 sum and product of the roots of a cubic"

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

Scalar (dot) and vector (cross) product practice #3

I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x

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Explain why a complex number times its conjugate is real

I have just studied why a complex number times its conjugate is real in my SS3 Further Mat

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Teach me the chain rule with an example

I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o

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WAEC past-question practice: mechanics #4

I am in SS 3. Test me with a timed WAEC-style mechanics question, give it to me cold, then

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Worked example: finding the argument in the correct quadrant

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

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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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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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Worked Example: Testing whether a binary operation is closed on a given set

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

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Explain Back: Arrangements in which two particular objects must stay together

I have just studied arrangements in which two particular objects must stay together in my

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Worked Example: The midpoint formula applied to a given segment

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

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Explain Back: Deciding whether a point lies inside, on or outside a circle

I have just studied deciding whether a point lies inside, on or outside a circle in my SS3

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Worked Example: The normal reaction on a body resting on a smooth incline

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the no

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Explain Back: The displacement written as x equals a sin omega t

I have just studied the displacement written as x equals a sin omega t in my SS3 Further M

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Worked Example: The tension in a stretched elastic string

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

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Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Structured question: cubic equation from three given roots

I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ

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Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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Evaluating a function at an algebraic input

I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at

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Piecewise-style simple function evaluation

I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha

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