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Further Mathematics

AI prompts for senior secondary learners.

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1,333 prompts matching "IGCSE Additional Maths Y11: Using an expansion to approximate a small power — Sp"

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

Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

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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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Quiz me: vectors and complex numbers mixed

I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus qu

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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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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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Find the tangent to y = x^2 - 4x + 7 at x = 3

I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie

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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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What a function is and function notation

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on what

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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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Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

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Verifying an inverse function is correct

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on veri

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Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

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Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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Comparing two functions to see which grows faster

I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of

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Give me a past-paper style question bank for the quadratic formula

I am in SS 3. Give me a bank of four exam-style questions on using the quadratic formula,

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Give me a past-paper style question bank for the binomial theorem

I am in SS 3. Give me a bank of four exam-style questions on the binomial expansion, rangi

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Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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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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Range of a simple function from its graph or values

I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si

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