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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,278 prompts matching "Find sum and product of roots of 2x^2 - 5x + 3 = 0"

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

Vector addition, subtraction and magnitude #1

I am in SS 3. Give me a vector problem where a = 3i + 2j and b = -i + 5j, find a + b and a

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Vector addition, subtraction and magnitude #2

I am in SS 3. Give me a vector problem where a = 2i - 4j + k and b = i + 3j - 2k, find a +

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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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Position vectors and displacement between points #4

I am in SS 3. Give me a vectors problem where I have a point dividing a line AB in a given

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Spot my mistake finding a vector magnitude

I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an

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Modulus, argument and the Argand diagram #1

I am in SS 3. Give me a complex number problem where I must, for z = 3 + 4i, plot it on an

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Modulus, argument and the Argand diagram #2

I am in SS 3. Give me a complex number problem where I must, for z = -2 + 2i, find the mod

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Modulus, argument and the Argand diagram #4

I am in SS 3. Give me a complex number problem where I must, for z = -3 - 4i, find the mod

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Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

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Explain the difference between differentiation and integration

I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro

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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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Teach me the suvat equations of motion

I am in SS 3. Teach me the five suvat equations of motion, when to use each one, and one w

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Explain-back: resultant versus resolution of forces

I am in SS 3. Let me explain the difference between finding a resultant force and resolvin

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Worked example: resultant of two forces

I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a

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Spot my mistake finding a resultant force

I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used

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Quiz me: matrices, determinants and inverses mixed

I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d

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Quiz me: forces and equilibrium mixed

I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu

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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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