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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,314 prompts matching "expand (x+2)^5 fully using the binomial theorem"

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

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 #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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Find and classify stationary points #1

I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify

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Find and classify stationary points #2

I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary

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Find and classify stationary points #3

I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum

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WAEC past-question practice: calculus #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on differentiation using th

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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 #2

I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15

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Kinematics: equations of motion practice #3

I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a

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Kinematics: equations of motion practice #4

I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i

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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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Worked example: 3x3 matrix multiplication

I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every

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Worked example: projectile range and time of flight

I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl

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Spot my mistake in a Cramer's rule solution

I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su

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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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Solving an equation formed by equating two algebraic fractions

I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s

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Domain of a simple algebraic function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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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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