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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 "Finding the inverse of an element under a binary operation"

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

Complete the square for 2x^2 + 4x - 3 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 + 4x - 3 = 0 by

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Complete the square for x^2 - 10x + 21 = 0

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Complete the square for x^2 + 3x - 4 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c

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Complete the square for 3x^2 + 6x - 2 = 0

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Quiz me on completing the square to find a turning point

Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve

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Explain completing the square back to me

Act as my SS2 Further Maths tutor. I'll explain the completing the square method back to y

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Why does completing the square work

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Quiz me on checking both pairs of solutions of a linear-quadratic pair

Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac

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Why simultaneous linear-quadratic systems can have two solutions

Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi

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Teach me conditions for a line and a curve to intersect

Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line

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Worked example: is this line tangent to this curve

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Give me practice on tangent lines to curves

Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio

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Worked example: using the factor theorem to factorise a cubic

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Give me practice factorising polynomials with the factor theorem

Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t

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Spot my mistake using the remainder theorem

Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I

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Teach me the truth table for negation

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation

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Teach me the truth table for conjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti

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Teach me the truth table for disjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti

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Explain biconditional and equivalence back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between a biconditional sta

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Worked example: testing an argument for validity

Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic

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