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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,334 prompts matching "Surd answers in area and perimeter questions"

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

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: solve 3^(2x) - 4(3^x) + 3 = 0

I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it

Structured word problem: population growth as a geometric sequence

I am in SS 3. Set me a structured word problem where a town's population grows geometrical

Worked Example: The associative law for the product of three matrices

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the as

Worked Example: The weight of a body as mass times g

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the we

Worked Example: The direction of the resultant of two forces

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the di

Worked Example: The total moment of three parallel forces about one end

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the to

Worked Example: The triangle law of vector addition

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the tr

Worked Example: The quotient rule for differentiation

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the qu

Add two matrices, 2x2 #3

I am in SS 3. Give me a matrix problem where A=[[6,2],[-3,1]], B=[[1,4],[2,-5]] and I have

Subtract two matrices, 2x2 #4

Give me a matrix problem where A=[[3,0],[-1,2]], B=[[-4,5],[6,1]] and I have to subtract t

Add two matrices, 2x2 #7

I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have

Subtract two matrices, 3x3 #8

Give me a matrix problem where A=[[0,5,1],[2,-2,3],[4,1,0]], B=[[1,1,-1],[0,2,2],[-3,1,1]]

Identify symmetric matrices practice

Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^

Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

Quiz me on units of force

Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv

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