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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "A bouncing ball problem, and the total distance travelled"

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

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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Explain equal complex numbers

I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal

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Differentiation practice question #1

I am in SS 3. Give me a differentiation problem where y = x^3 - 4x^2 + 2x, find dy/dx. Let

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Differentiation practice question #2

I am in SS 3. Give me a differentiation problem where y = (2x+1)(x-3), find dy/dx using th

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Differentiation practice question #3

I am in SS 3. Give me a differentiation problem where y = (3x-2)/(x+1), find dy/dx using t

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Differentiation practice question #4

I am in SS 3. Give me a differentiation problem where y = (2x-1)^5, find dy/dx using the c

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Differentiation practice question #5

I am in SS 3. Give me a differentiation problem where y = sin(3x) + cos(2x), find dy/dx. L

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Integration practice question #1

I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +

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Integration practice question #2

I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi

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Integration practice question #3

I am in SS 3. Give me an integration problem where I must find the definite integral of x^

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Integration practice question #4

I am in SS 3. Give me an integration problem where I must find the area under the curve y

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Explain finding area under a curve using integration

I am in SS 3. Explain how definite integration gives the area under a curve between two li

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Kinematics: equations of motion practice #1

I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in

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Kinematics: equations of motion practice #5

I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,

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Spot my mistake in a projectile motion question

I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr

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Quiz me on kinematics equations of motion

I am in SS 3. Quiz me with a short kinematics word problem and check whether I selected th

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WAEC past-question practice: mechanics #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style kinematics question involving

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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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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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