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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Practice: The equation of a line through a point with a given gradient"

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

Why simultaneous linear-quadratic systems can have two solutions

Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi

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Find sum and product of roots of 2x^2 - 5x + 3 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Find sum and product of roots of x^2 + 4x - 12 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Find sum and product of roots of 3x^2 + 7x - 6 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Find sum and product of roots of x^2 - 8x + 15 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Build a quadratic equation from given roots

Act as my SS2 Further Maths tutor. Teach me how to construct a quadratic equation when I a

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Teach me conditions for a line and a curve to intersect

Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line

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Worked example: is this line tangent to this curve

Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's

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Spot my mistake solving a cubic equation

Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t

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Give me practice on probability using combinatorics

Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be

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Give me practice on indices and surds

Act as my SS2 Further Maths tutor. Give me eight practice questions mixing laws of indices

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Worked example: finding where a line meets a circle

Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig

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Worked example: solving simultaneous equations using matrices

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu

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Teach me measures of dispersion for grouped data

Act as my SS2 Further Maths tutor. Teach me how to estimate the mean and standard deviatio

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Mark scheme walkthrough: factorising a trinomial

I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr

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Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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Cambridge-style structured question: line meets a curve

I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute

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Show All Working: Forming an equation whose roots are three alpha and three beta

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa

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Final Revision: Checking both solutions in both equations

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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Final Revision: A word problem about a line and a parabola

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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