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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 magnitude of a vector after multiplication by a scalar"

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

Teach me approximating powers using binomial expansion

Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate

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Worked example: evaluating a power using binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp

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Worked example: rationalising a binomial surd denominator

Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the

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Worked example: finding where a line meets a circle

Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig

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Worked example: proving a trigonometric identity

Act as my SS2 Further Maths tutor. Show me a full worked example of proving a trigonometri

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Teach me finding stationary points

Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom

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Teach me adding and subtracting complex numbers

Act as my SS2 Further Maths tutor. Teach me how to add and subtract complex numbers by com

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Teach me what a matrix is

Act as my SS2 Further Maths tutor. Teach me what a matrix is, including the meaning of its

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Teach me adding and subtracting matrices

Act as my SS2 Further Maths tutor. Teach me how to add and subtract matrices of the same o

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Worked example: solving simultaneous equations using matrices

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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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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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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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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Show All Working: Factorising a polynomial with fractional roots

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

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Show All Working: Solving a cubic that must first be rearranged

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

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Show All Working: Translating an English sentence into logical symbols

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

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Show All Working: Why a conditional and its converse are not equivalent

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

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IGCSE Additional Maths Y11: Solving an equation that contains sec x — Show All Working

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on s

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