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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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952 prompts matching "A symmetric matrix, equal to its own transpose"

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

Teach me how to solve cubic equations

Act as my SS2 Further Maths tutor. Teach me how to solve a cubic equation by first using t

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Teach me conditionals versus tautologies

Act as my SS2 Further Maths tutor. Teach me the difference between a conditional statement

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Worked example: proving a statement is a tautology

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

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Quiz me on tautologies

Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t

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Give me practice identifying tautologies

Act as my SS2 Further Maths tutor. Give me six compound propositions and ask me to constru

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Spot my mistake identifying a tautology

Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau

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Teach me how to determine the validity of an argument

Act as my SS2 Further Maths tutor. Teach me how to determine whether a logical argument is

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Quiz me on arranging objects round a circle when two must sit together

Act as my SS2 Further Mathematics tutor and quiz me on arranging objects round a circle wh

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When to use permutations versus combinations

Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh

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Give me practice on probability using combinatorics

Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be

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Spot my mistake in a combinatorial probability problem

Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi

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Teach me how to the general term formula of a binomial expansion

You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial

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Quiz me on the binomial expansion of a bracket raised to the power four

Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex

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Teach me how to simplify surds

Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s

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Teach me rationalising the denominator

Act as my SS2 Further Maths tutor. Teach me how to rationalise a denominator containing a

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Worked example: rationalising a binomial surd denominator

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

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Quiz me on the laws of logarithms used to solve an equation

Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin

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Worked example: sum to infinity of a geometric series

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

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Quiz me on matrix operations

Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting and

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Teach me what a vector is

Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,

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