1,130 prompts matching "multi-part coordinate geometry question"
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Worked Example: Finding the first term and the common difference from two given terms
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Explain Back: The sum of the first n terms of a geometric progression
I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt
Spot My Mistake: Finding the common ratio from two given terms
Act as my SS3 Further Mathematics tutor. Work a question on finding the common ratio from
Practice: The sum to infinity of a convergent geometric series
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum to inf
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
Quiz: The general term of a binomial expansion
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Practice: The middle term when the power is odd
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the middle ter
Quiz: The remainder theorem, and the remainder on dividing by x minus a
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Practice: Finding a remainder without carrying out the division
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding a rema
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
Quiz: The modal class of a grouped frequency distribution
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Practice: The rank correlation coefficient
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the rank corre
Explain Back: The line of best fit, and the regression line
I have just studied the line of best fit, and the regression line in my SS3 Further Mathem
Add two matrices, 2x2 #1
Give me a matrix problem where A=[[2,3],[1,4]], B=[[5,-1],[0,2]] and I have to add them, s
Add two matrices, 3x3 #5
Give me a matrix problem where A=[[1,2,0],[3,-1,4],[0,2,1]], B=[[2,0,1],[1,1,-1],[3,-2,0]]
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
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 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
Explain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Quiz me on 2x2 and 3x3 determinants together
Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te