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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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329 prompts matching "Sequences given by a recurrence relation"

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

Scalar (dot) and vector (cross) product practice #4

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

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Position vectors and displacement between points #4

I am in SS 3. Give me a vectors problem where I have a point dividing a line AB in a given

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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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Vectors and simple geometry proof

I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera

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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 #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 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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Build my SS3 Further Maths WAEC revision timetable

I am in SS 3. Help me build a week-by-week revision timetable covering matrices, determina

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Explain-back: complex conjugates

I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di

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Worked example: binomial distribution problem

I am in SS 3. Show me one fully worked binomial probability example step by step, then giv

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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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Show All Working: A three-set Venn diagram drawn from a subject survey

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on a three-se

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Show All Working: Solving an equation written in terms of a binary operation

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving an

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Show All Working: Expressing a number in the form a root b

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Show All Working: Three roots in arithmetic progression in a cubic

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on three root

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Show All Working: Solving a pair of simultaneous linear inequalities

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Show All Working: Counting the handshakes, or the lines joining n points

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on counting t

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Show All Working: The half angle formulae and the t-substitution

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the half a

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Show All Working: Reading the solutions of a trigonometric equation off a graph

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on reading th

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