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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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964 prompts matching "Reviewing every sequence and series formula before a test"

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 equation of the line through (2,3) and (5,9)

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

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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: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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

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

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

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Real-life application of the quadratic formula

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the qu

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Real-life application of testing the validity of an argument

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin

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Show that command word: quadratic factorisation

I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma

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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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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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