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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 "Structured question: surd equation with a solution to reject"

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

Quiz me on why negation reverses every truth value

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Quiz me on when a conjunction of three statements is true

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Quiz me on the inclusive sense of 'or' in a disjunction

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Give me practice constructing truth tables

Act as my SS2 Further Maths tutor. Give me five compound statements combining negation, co

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Worked example: truth table for a compound statement

Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth

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Spot my mistake in a truth table

Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu

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Worked example: converse and inverse of a statement

Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a

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Quiz me on converse and inverse

Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as

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Spot my mistake forming a converse

Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement

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Teach me biconditional propositions

Act as my SS2 Further Maths tutor. Teach me what a biconditional proposition is, using the

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Worked example: proving two statements are logically equivalent

Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo

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Spot my mistake testing logical equivalence

Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test

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Spot my mistake testing an argument

Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth

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Teach me combinations

Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from

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Worked example: choosing a committee

Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to

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Worked example: cyclic permutation around a table

Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number

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Spot my mistake in a permutation problem

Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used

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Spot my mistake in a combination problem

Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi

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Worked example: probability of selecting a committee

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the probabilit

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Worked example: expanding (x+y)^4 using Pascal's triangle

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin

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