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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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792 prompts matching "Solve x^2 + 7x - 18 = 0 with full exam working"

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 unit vector in the direction of (6,8)

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)

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Worked example: how many ways can 5 books be arranged on a shelf

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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: how many ways can a committee of 4 be chosen from 10 people

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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Worked example: in how many ways can 6 people be seated around a circular table

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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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: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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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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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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Quiz: Factorising a difference of two squares in order to solve it

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Practice: Factorising a quadratic with a common factor taken out first

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WAEC Prep: A quadratic with a repeated root

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Show All Working: A quadratic whose two roots are both negative

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