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Further Mathematics

AI prompts for senior secondary learners.

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1,319 prompts matching "IGCSE Additional Maths Y10: The range of a function — Quiz Me"

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

Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1

I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q

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Structured question: AP and GP sharing the same first three terms

I am in SS 3. Give me a structured question describing a sequence whose first three given

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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Quiz me on choosing the correct method for a quadratic

I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor

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Scalar multiplication of a matrix #2

Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip

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Solve a friction and forces of equilibrium problem #2

I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict

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Solve a friction and forces of equilibrium problem #3

I am in SS 3. Give me a problem where a crate being pulled with an applied force while fri

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Vectors and simple geometry proof

I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera

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Modulus, argument and the Argand diagram #1

I am in SS 3. Give me a complex number problem where I must, for z = 3 + 4i, plot it on an

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Modulus, argument and the Argand diagram #2

I am in SS 3. Give me a complex number problem where I must, for z = -2 + 2i, find the mod

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Modulus, argument and the Argand diagram #3

I am in SS 3. Give me a complex number problem where I must, for z = 1 - i, express it in

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Modulus, argument and the Argand diagram #4

I am in SS 3. Give me a complex number problem where I must, for z = -3 - 4i, find the mod

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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 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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Quiz me on kinematics equations of motion

I am in SS 3. Quiz me with a short kinematics word problem and check whether I selected th

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Explain-back: resultant versus resolution of forces

I am in SS 3. Let me explain the difference between finding a resultant force and resolvin

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Explain-back: the chain rule in calculus

I am in SS 3. Let me explain the chain rule for differentiation in my own words with my ow

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Explain-back: equilibrium of a rigid body

I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri

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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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