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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "The inverse of a 2 by 2 matrix as one over the determinant times the adjoint"

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 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

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

Worked example: dividing a cubic by a linear polynomial

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Quiz me on polynomial division by a quadratic divisor

Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di

Divide a polynomial by a quadratic

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Worked example: using the factor theorem to factorise a cubic

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Sum and product of roots of a cubic equation

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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

Teach me converse and inverse propositions

Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a

Give me practice on converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me six conditional statements and ask me to form a

Explain converse and inverse back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th

Teach me the binomial expansion formula

Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c

Give me practice on the binomial theorem

Act as my SS2 Further Maths tutor. Give me eight practice questions covering Pascal's tria

Quiz me on coordinate geometry basics

Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin

Quiz me on basic differentiation

Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di

Worked example: standard deviation of a small data set

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

Summarise polynomials and the remainder/factor theorems for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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