1,334 prompts matching "Expressing a rationalised answer in the form a root b over c"
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Worked Example: The area between a curve and the x-axis
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ar
Learn: Finding displacement by integrating velocity
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Practice: The sign convention for displacement, velocity and acceleration
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Practice: The range of a projectile on level ground
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Explain Back: Writing a recurring decimal as a geometric series
I have just studied writing a recurring decimal as a geometric series in my SS3 Further Ma
Practice: The middle term when the power is odd
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Explain Back: Partial fractions with a repeated linear factor
I have just studied partial fractions with a repeated linear factor in my SS3 Further Math
Learn: The median of a set of ordered data
You are my personal SS3 Further Mathematics tutor. Teach me the median of a set of ordered
Practice: The rank correlation coefficient
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Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Spot my mistake in a matrix transpose
I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please
Show all working: adding three matrices in one question
Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C
Multi-part matrix question: add then multiply
Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul
Evaluate a 2x2 determinant #1
I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi
Evaluate a 2x2 determinant #2
I am in SS 3. Give me a 2x2 matrix like A=[[7,-2],[3,1]] and ask me to evaluate its determ
Evaluate a 2x2 determinant #3
Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad
Evaluate a 2x2 determinant #4
Give me a 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a
Evaluate a 2x2 determinant #5
I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi
Evaluate a 2x2 determinant #6
I am in SS 3. Give me a 2x2 matrix like A=[[0,-4],[6,2]] and ask me to evaluate its determ
Evaluate a 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina