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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,318 prompts matching "Why 2 root 3 and 5 root 3 count as similar surds"

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

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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Show all working: vector geometry question

I am in SS 3. Give me a Cambridge Additional Mathematics style vector question involving p

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Complex number arithmetic practice #1

I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1

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Complex number arithmetic practice #2

I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x

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Complex number arithmetic practice #3

I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)

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Complex number arithmetic practice #4

I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th

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Complex number arithmetic practice #5

I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1

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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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Teach me the chain rule with an example

I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o

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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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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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