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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 resultant of forces given as vectors"

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: differentiate y = (2x-1)(x+3) after expanding it first

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

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

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

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

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

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Worked example: find a+b where a=(2,-1) and b=(-3,5)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

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

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Multi-part exam question on factorising trinomials

I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks

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Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

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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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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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Quiz me on quadratic inequalities

I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu

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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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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: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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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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Final Revision: A word problem solved by factorising a quadratic

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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Common Mistakes: Checking a completed square by expanding it again

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che

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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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Final Revision: Using a symmetric function to find an unknown coefficient

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of u

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