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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The position vector of a point relative to the origin"

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

Worked example: how many ways can 5 books be arranged on a shelf

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: how many ways can a president and secretary be chosen from 8 people

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: in how many ways can 6 people be seated around a circular table

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

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Hence solve command word: quadratic equations

I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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Discriminant classification exam question

I am in SS 2. Give me a short structured question where I must use the discriminant to sta

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Spot my mistake in a quadratic inequality solution

I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether

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Prove command word: line does not intersect a curve

I am in SS 2. Give me a 'prove that' style question where I must show a given line never m

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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Teach me composite functions

Teach me what a composite function fg(x) means and how to find it, using function notation

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Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

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Show All Working: A quadratic whose two roots are both negative

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who

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Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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Show All Working: Roots equal in magnitude but opposite in sign

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in

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Show All Working: Forming an equation whose roots are three alpha and three beta

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa

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Spot My Mistake: A pair with equal roots, meaning one solution only

Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani

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Spot My Mistake: A polynomial written in descending powers

Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen

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Show All Working: Adding and subtracting two polynomials

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on adding and subt

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Quiz: Dividing a quartic by a quadratic

Act as my SS2 Further Mathematics tutor and quiz me on dividing a quartic by a quadratic.

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