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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,320 prompts matching "IGCSE Additional Maths Y11: The equation of the tangent at a given point — Worke"

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

Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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Solve a 3x3 simultaneous equation system with Cramer's rule #1

I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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Verify A times A-inverse equals the identity

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

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Solve a 3x3 system using the inverse matrix method #2

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

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Explain standard deviation and the normal curve

I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c

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Use the normal distribution function to find a probability #4

I am in SS 3. Give me a normal distribution problem where mean 70 and standard deviation 1

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Teach me equilibrium of forces from scratch

I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never

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Solve a friction and forces of equilibrium problem #1

I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi

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Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

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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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Solve a quadratic equation with complex roots #2

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0

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Solve a quadratic equation with complex roots #3

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

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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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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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Spot my mistake using the product rule

I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ

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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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Explain time of flight and range in projectile motion

I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o

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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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