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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,002 prompts matching "Solve simultaneous equations using an inverse matrix #1"

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

Give me common mistakes students make in trigonometric identities and equations

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the equation of the line through (2,3) and (5,9)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: expand (x+2)^5 fully using the binomial theorem

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Give me a 5-minute recap of converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of converse and inverse

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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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Quiz: Finding the sum and the product without solving the equation

Act as my SS2 Further Mathematics tutor and quiz me on finding the sum and the product wit

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Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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WAEC Prep: Checking the sum and product against the solved roots

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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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: Using a symmetric function to find an unknown coefficient

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

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Common Mistakes: A word problem giving one linear and one quadratic equation

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w

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