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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Test me under exam conditions on trigonometric identities and equations"

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

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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Quiz me on modulus and argument of complex numbers

I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t

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Quiz me on rates of change problems

I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a

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WAEC-style past question on functions

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Why is matrix multiplication not commutative

Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2

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Explain the identity matrix

Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

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WAEC past-question practice: matrices #7

I am in SS 3. Test me with a WAEC Further Mathematics matrix question under exam time pres

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

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The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

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Function notation applied to a real-world formula

I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu

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Explaining function notation to a classmate

I am in SS 3. I'm going to explain explaining function notation and what f(x) really means

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Find the equation command word: circle through the origin

I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th

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Determine command word: validity of an argument

I am in SS 3. Give me an exam question phrased 'determine whether the following argument i

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Structured question: solving a trig equation involving a double angle

I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co

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WAEC Prep: The product of a 2 by 2 matrix with the identity

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the product of a 2

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WAEC Prep: Multiplying a 3 by 3 matrix by the identity matrix

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through multiplying a 3 by

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WAEC Prep: The identity matrix of order three

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the identity matri

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WAEC Prep: The identity matrix, and what it does in a product

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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