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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,242 prompts matching "Using change of base to prove a stated relation"

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

Find the moment of a force about a point #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

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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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Scalar (dot) and vector (cross) product practice #1

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

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Scalar (dot) and vector (cross) product practice #2

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

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Scalar (dot) and vector (cross) product practice #3

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

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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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Quiz me on unit vectors

I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w

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WAEC past-question practice: vectors #1

I am in SS 3. Give me a WAEC Further Mathematics past-question style problem on vector add

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WAEC past-question practice: vectors #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style question on position vectors a

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WAEC past-question practice: vectors #4

I am in SS 3. Test me with a timed WAEC-style vectors question, give it to me cold, then m

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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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Rank my weakest Further Maths topics before WAEC

Ask me a quick diagnostic question from each major SS3 Further Mathematics topic — matrice

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Explain how to present working for full WAEC marks

I am in SS 3. Explain how to lay out my working clearly enough to earn full method marks i

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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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Explain-back: equilibrium of a rigid body

I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri

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Quiz me: vectors and complex numbers mixed

I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus 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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