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Further Mathematics

AI prompts for senior secondary learners.

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1,332 prompts matching "Roots equal in magnitude but opposite in sign"

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

Structured question: unknown coefficient from a factor condition

I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a

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Simplify (8^(2/3) times 4^(-1/2)) fully

I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2

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Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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Show that (sqrt3+1)^2 = 4+2sqrt3

I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that

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Structured question: circle centre (3,-2) radius 5

I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius

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Structured question: perpendicular bisector of (2,1) and (-4,7)

I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi

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Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f

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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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Give me an exam formula sheet for quadratic factorisation

I am in SS 3. Build me a short formula sheet covering every formula I need for factorising

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Give me an exam formula sheet for the quadratic formula

I am in SS 3. Build me a short formula sheet covering every formula I need for using the q

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Give me an exam formula sheet for polynomial operations

I am in SS 3. Build me a short formula sheet covering every formula I need for adding, sub

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Give me an exam formula sheet for the factor theorem

I am in SS 3. Build me a short formula sheet covering every formula I need for the factor

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Give me an exam formula sheet for cubic equations

I am in SS 3. Build me a short formula sheet covering every formula I need for solving cub

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Give me an exam formula sheet for functions

I am in SS 3. Build me a short formula sheet covering every formula I need for composite a

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Give me an exam formula sheet for surds

I am in SS 3. Build me a short formula sheet covering every formula I need for simplifying

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Give me an exam formula sheet for logarithms

I am in SS 3. Build me a short formula sheet covering every formula I need for the laws of

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Give me an exam formula sheet for trigonometric identities and equations

I am in SS 3. Build me a short formula sheet covering every formula I need for proving ide

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Give me an exam formula sheet for sequences and series

I am in SS 3. Build me a short formula sheet covering every formula I need for arithmetic

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Give me an exam formula sheet for propositional logic

I am in SS 3. Build me a short formula sheet covering every formula I need for proposition

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Give me an exam formula sheet for differentiation basics

I am in SS 3. Build me a short formula sheet covering every formula I need for differentia

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