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Further Mathematics

AI prompts for senior secondary learners.

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1,318 prompts matching "Solving a surd equation with terms on both sides"

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

Solve 2x^2 - 5x - 12 = 0 with full exam working

I am in SS 3. Give me the equation 2x^2 - 5x - 12 = 0 as an Additional Maths exam question

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Solve 5x^2 + 13x - 6 = 0 with full exam working

I am in SS 3. Give me the equation 5x^2 + 13x - 6 = 0 as an Additional Maths exam question

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Solve x^2 - 2x - 35 = 0 with full exam working

I am in SS 3. Give me the equation x^2 - 2x - 35 = 0 as an Additional Maths exam question

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Solve 4x^2 - 12x + 5 = 0 with full exam working

I am in SS 3. Give me the equation 4x^2 - 12x + 5 = 0 as an Additional Maths exam question

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Solve x^2 + 7x - 18 = 0 with full exam working

I am in SS 3. Give me the equation x^2 + 7x - 18 = 0 as an Additional Maths exam question

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Solve 3x^2 + x - 14 = 0 with full exam working

I am in SS 3. Give me the equation 3x^2 + x - 14 = 0 as an Additional Maths exam question

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Choose your own method command word: solving a quadratic

I am in SS 3. Give me a quadratic equation and ask me to solve it by whichever method I th

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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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WAEC exam question: two unknowns from remainder and factor conditions

I am in SS 3. Give me a WAEC-style polynomial question where a cubic has two unknown coeff

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Structured question: three linked function sub-questions

I am in SS 3. Give me a structured question with three parts on the same pair of functions

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Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Solve 5^(x+2) = 125^(x-1) with full working

I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio

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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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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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Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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Show that a geometric series converges and find its sum to infinity

I am in SS 3. Give me a structured question where I must first show a given geometric seri

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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 line and curve tangency conditions

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

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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 functions

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

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