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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 "Define particle and rigid body in mechanics"

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: find the distance between the points (1,2) and (4,6)

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

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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Worked example: find the modulus and argument of 3+4i

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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 the angle between the vectors (1,2) and (3,-1) using the dot product

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

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Worked example: expand (x+2)^5 fully using the binomial theorem

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

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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

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Give me a 5-minute recap of propositions and compound statements

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of propositions and comp

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Give me a 5-minute recap of converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of converse and inverse

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Give me a 5-minute recap of indices and surds

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of indices and surds, co

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Give me a 5-minute recap of sequences and series

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of sequences and series,

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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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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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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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