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Further Mathematics

AI prompts for senior secondary learners.

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1,019 prompts matching "A set closed under one operation but not another"

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

Vector addition, subtraction and magnitude #2

I am in SS 3. Give me a vector problem where a = 2i - 4j + k and b = i + 3j - 2k, find a +

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Vector addition, subtraction and magnitude #3

I am in SS 3. Give me a vector problem where a = 5i - j, find the magnitude of a. Let me a

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Vector addition, subtraction and magnitude #4

I am in SS 3. Give me a vector problem where a = 2i + 3j - 6k, find the magnitude of a. Le

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Vector addition, subtraction and magnitude #5

I am in SS 3. Give me a vector problem where a = 4i - 3j, find a unit vector in the direct

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Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

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WAEC past-question practice: vectors #2

I am in SS 3. Set me a WAEC-style question on the scalar product of two vectors and the an

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WAEC past-question practice: complex numbers #2

I am in SS 3. Set me a WAEC-style question on finding the modulus and argument of a comple

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WAEC past-question practice: complex numbers #4

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

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Integration practice question #4

I am in SS 3. Give me an integration problem where I must find the area under the curve y

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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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Explain the difference between differentiation and integration

I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro

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Spot my mistake using the product rule

I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ

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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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WAEC past-question practice: calculus #2

I am in SS 3. Set me a WAEC-style integration question exactly the way past papers phrase

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WAEC past-question practice: calculus #4

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

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Kinematics: equations of motion practice #5

I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,

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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 #2

I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s

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Projectile motion problem #3

I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60

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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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