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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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946 prompts matching "Explain parallel and perpendicular vectors"

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

Explain why Further Maths topics connect to each other

Act as my SS2 Further Maths tutor. Explain to me how the topics I've studied so far, like

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Worked example: find the equation of the line through (2,3) and (5,9)

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

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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

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Real-life application of sequences and series

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

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Real-life application of sum and product of roots

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

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Give me a 5-minute recap of vectors

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of vectors, covering onl

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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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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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