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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "Quiz me on complex number operations"

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

Spot my mistake: Assuming moments may only be taken about the pivot and never about another point

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming moments may only

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Spot my mistake: Assuming the normal curve meets the horizontal axis at its points of inflexion

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming the normal curve

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Spot my mistake: Treating the action and the reaction of Newton's third law as forces acting on the same body

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the action and t

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Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

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Position vectors and displacement between points #1

I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto

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Position vectors and displacement between points #2

I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v

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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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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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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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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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Showing that fg(x) is not the same as gf(x)

I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec

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Self-inverse functions

I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct

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