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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,331 prompts matching "Structured question: find f^-1(x) and verify it"

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

Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f

Give me an exam formula sheet for polynomial operations

I am in SS 3. Build me a short formula sheet covering every formula I need for adding, sub

Give me an exam formula sheet for functions

I am in SS 3. Build me a short formula sheet covering every formula I need for composite a

Give me an exam formula sheet for surds

I am in SS 3. Build me a short formula sheet covering every formula I need for simplifying

Give me an exam formula sheet for coordinate geometry

I am in SS 3. Build me a short formula sheet covering every formula I need for lines and c

Give me an exam formula sheet for differentiation basics

I am in SS 3. Build me a short formula sheet covering every formula I need for differentia

Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

Worked example: prove an argument invalid using a truth table

I am in SS 3. Show me a full worked example of testing a logical argument for validity usi

Explain Back: Subtracting two 3 by 3 matrices

I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L

Practice: A 2 by 2 matrix multiplied by a column vector

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri

Explain Back: Keeping track of the nine entries when multiplying 3 by 3 matrices

I have just studied keeping track of the nine entries when multiplying 3 by 3 matrices in

Explain Back: Why the order of the letters matters in a matrix product

I have just studied why the order of the letters matters in a matrix product in my SS3 Fur

Practice: The transpose of a 2 by 3 matrix

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the transpose

Explain Back: The rule that the transpose of a product reverses the order

I have just studied the rule that the transpose of a product reverses the order in my SS3

Practice: A diagonal matrix

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat

Explain Back: The order of the answer when two matrices are multiplied

I have just studied the order of the answer when two matrices are multiplied in my SS3 Fur

Practice: Evaluating AB minus BA

Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB

Explain Back: The determinant of a product as the product of the determinants

I have just studied the determinant of a product as the product of the determinants in my

Practice: The sign pattern of the cofactors in a 3 by 3 determinant

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign patte

Explain Back: What a coefficient determinant of nought says about the system

I have just studied what a coefficient determinant of nought says about the system in my S

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