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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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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

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 10x + 21 = 0 by

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

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 6x - 2 = 0 by

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

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

Why does completing the square work

Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work

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

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

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

Worked example: is this line tangent to this curve

Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's

Give me practice on tangent lines to curves

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

Worked example: using the factor theorem to factorise a cubic

Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor

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

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

Teach me the truth table for negation

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

Teach me the truth table for conjunction

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

Teach me the truth table for disjunction

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

Explain biconditional and equivalence back to me

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

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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