Mathematical Methods (CAS) Exam Discussion

[sweetiepi]

The MAV ones scar me for life tbh... but whatevers.

Meanwhile, I've collated all the exam 2 difficult questions from 2006-2015 and here they are:

2015 MCQ

Question 3 (20%) A rule for a function question
Question 9 (37%) Finding the expected value of a function
Question 11 (24%) A transformations question
Question 16 (22%) A “which one is true?” question
Question 18 (48%) Another “which of the following is true” question
Question 21 (37%) A two graphs will no points of intersect for which values
Question 22 (35%) A which of the following represents this best

2014 MCQ

Question 13 (43%) What is the domain of the function?
Question 14 (45%) A conditional probability question
Question 15 (44%) “the max value of x is closest to”
Question 16 (46%) “The value of integral is…”
Question 20 (44%) Average value question
Question 21 (28%) Max area of a shape
Question 22 (37%) Probability of an event happening ratios

2013 MCQ

Question 7 (37%) A max value for pronumeral question
Question 11 (47%) A tangent to the graph question
Question 12 (35%) The value of the derivative at a point
Question 15 (25%) “Let h be a function with an average value of 2 over the interval [0, 6]. The graph could be”
Question 16 (21%) “Which one of the following definite integrals could be used to find the area of the shaded region?”
Question 17 (49%) Conditional probability problem
Question 18 (35%) “Which one is true for all values of x?”
Question 20 (25%) Matrices and transformations
Question 21 (29%) A cubic has no stationary points when…
Question 22 (47%) What is the value of the standard deviation (in a normal distribution)
 

2012 MCQ

Question 4 (45%) “The derivative of the composite function is”
Question 8 (49%) “The gradient of the graph is negative for”
Question 16 (34%) The value of a pronumeral for one solution question
Question 17 (43%) Linear equations question with matrix (matrix n/a anymore woo!), no solution problem
Question 18 (30%) A “which is false” question
Question 19 (45%) A possible rule question
Question 20 (19%) Calculate the probability question
Question 22 (32%) What does this function have?

2011 MCQ

Question 13 (45%) A normal distribution problem- find the mean
Question 14 (44%) Find the area of the shaded region
Question 16 (41%) A which is not true question
Question 17 (48%) Find the equation of the normal
Question 19 (43%) Approximation question – I personally haven’t see this since the 2009 exam 1.
Question 21 (15%) Independent events question
Question 22 (45%) What is the log expression equal to?

2010 MCQ:

Question 7 (47%) Simultaneous equations problem, infinitely many solutions
Question 12 (44%) Probability (binomial) problem
Question 18 (45%) A which statement is true question
Question 20 (25%) An integration by recognition question
Question 21 (43%) A probability question
Question 22 (29%) A find the rule question

2009 MCQ:

Question 1 (49%) Simultaneous equations problem, a unique solution
Question 9 (49%) Find the equation of the tangent
Question 17 (31%) Sample space question
Question 20 (34%) Number of solutions question
Question 21 (43%) Local maximum question
Question 22 (45%) Area bounded by question

2008 MCQ:

Question 4 (49%) Finding what a definite integral equals to
Question 6 (45%) Simultaneous equations question, infinitely many solutions
Question 9 (38%) Transformations matrices
Question 10 (45%) The range of a function
Question 12 (44%) Finding the value of a substitution
Question 15 (7%) Sample space question
Question 18 (36%) Transformations question

2007 MCQ:

Question 5 (36%) Simultaneous linear equations- looking for a unique solution
Question 6 (39%) Finding the range of a function
Question 17 (47%) A ‘find the function that satisfies’ question
Question 21 (27%) Finding x such that question
Question 22 (37%) Graph of combined functions question

2006 MCQ:

Question 10 (48%) A rate of increase question- pretty sure this got turfed out of the course
Question 13 (33%) Transformations with matrices
Question 17 (37%) A possible rule for a function question
Question 19 (35%) A simultaneous linear equations problem: looking for no solutions

2015 Extended Response:

Question 2a (33% got the 2 marks) Finding an angle between the tangent and a point (to the nearest degree)
Question 2b (44% got the 2 marks) Find the maximum downwards slope of the road
Question 2c (33% got all 3 marks) Find the coordinates of M (to 2 decimal places)
Question 2d (21% got all 3 marks) Find the value of the pronumeral and the lengths “MN and “PQ”
Question 2e (49% got all 3 marks) Find the x-coordinates (to 2 decimal places) of the points where the curve meets the parabola
Question 3aii (47% got both marks) Find the probability that an “orange has a diameter greater than 7cm”
Question 3dii (35% got both marks) Find the smallest sample so that Pr(X=x)>0.5
Question 4a (36% got this mark) “What is the value of a?”
Question 4c (41% got both marks) Find two transformations that map y=f(x) onto y=h(x)
Question 4di (12% got the 2 marks) Find the area enclosed by the graphs if “n” is even
Question 4dii (9% received 2 marks) Find the area enclosed by the graphs is “n” is odd
Question 5aiv (43% bagged both 2 marks) Find the average rate of change over an interval
Question 5ci (4% received both marks) Find a set of possible values for the pronumeral such that the minimum of the function occurs at t=0
5cii (4% received both marks) Find a set of possible values for the pronumeral such that the minimum of the function occurs at t=5
Question 5d (11% awarded both marks) Find the value of a pronumeral when the volume is at a local minimum.

2014 Extended Response

Question 1d (29% awarded 2 marks) Find the “fraction of time” when the “population” was less than n(10)
Question 2d (42% received the mark) Find the value of “h” when “S” is a minimum
Question 2f (22% bagged all 3 marks) find the derivative in terms of “h”
Question 2g (40% received a mark) “Find the rate of which the height of the cylinder will be decreasing” – This is related rates, pretty sure it’s out of the course
Question 2h (9% received both marks) “Find the year that the top of the statue will just be exposed”
Question 3cii (26% awarded 2 marks) “Find the values of t₁ and t₂”
Question 3d (29% received 3 marks) Find the value of the pronumeral is the max “concentration” was 0.74mg/L at t=0.5hours
Question 4a (43% got this mark) “What is the minimum height”
Question 4b (47% got both marks) How many “basil plants” need to be moved?
Question 4d (25% snagged both marks) “Find the max height”
Question 4e (23% received both marks) “Find the minimum value”
Question 4fii (48% got 2 marks) Calculate the value of p
Question 4g (43% got 2 marks) Find the probability that the fifth pot made is smooth- uses transition matrices- out of the course
Question 5a (48% got 2 marks) “Express x 4 – 8x in the form x(x – a) ((x + b)2 + c )
Question 5b (37% got the mark) “Describe the translation”
Question 5ci (7% got a mark) Find the values of d such that the graph of y = f(x+d ) has one positive x-axis intercept
Question 5cii (19% received this mark) “Find the values of d such that the graph of y = f(x+d ) two positive x-axis intercepts.”
Question 5d (17% were awarded this mark) “Find the value of n for which the equation g x n ( ) = has one solution.”
Question 5ei (24% snagged 2 marks) Find the value of
Question 5eii (10% snagged that mark) Find “u” and “v” if “u+v=1”
Question 5fi (22% got that mark) “Find the equation of the tangent”
Question 5fii (11% received all 3 marks) “Find the equations of the tangents”

2013 Extended Response

Question 1d (45 got 2 marks) How long is the time great/equal to 26?
Question 1fi (10% got 2 marks) Find the values of the pronumerals
Question 1fii (12% got that mark) Find the coordinates of “P’ “
Question 2aii (39% got all 3 marks) “What is the probability that more than 15 complete “S” in less than 3 mins” – conditional probability!
Question 2ci (46% bagged 2 marks) Find the expected value
Question 2cii (42% got the 2 marks) How many are expected to finish “S”?
Question 3di (21% correctly got the 2 marks) Find the coordinate
Question 3dii (17% got 2 marks) Find the length
Question 3f (44% got 2 marks) Find the value of x when V is at a max
Question 3g (35% got 2 marks) If “m=10”, find the max speed of the “train”
Question 3h (25% got both marks) if the V max is 120, what is “m”?
Question 4aii (26% got all 3 marks) “Evaluate the area of the shaded region”
Question 4b (15% bagged all 3 marks) Find the positive x-coordinate of “Q” for which “OQ” is a min and find the min distance
Question 4c (6% snagged these 2 marks) Find the gradient of the tangent
Question 4di (3% gained 2 marks) Find the rule “A(k)” that gives the area of the shaded region
Question 4dii (3% gained 2 marks) Find the max area of the shaded region
Question 4diii (2% gained these 2 marks) Find the min area of the shaded region

2012 Extended Response

Question 1b (38% received the full 2 marks) Find the possible values of x if V(x) > 0
Question 1d (45% received both marks) Find the exact values of x and h for a max volume
Question 2a (43% got all 3 marks) Sketch the graph, label with asymptotes and coordinates of intercepts
Question 2c (10% received 2 marks) Find the equation of the tangent
Question 2d (14% received all 4 marks) Find the coordinates of the points on the graph so that the tangents intersect at (-1, 7/2)
Question 2e (8% snagged both marks) Find the values of a, c, d using the matrices transformations technique
Question 3aii (48% got 2 marks) A binomial question
Question 3bi (32% awarded 3 marks) A transition matrix question- transition matrices are out of our study design!
Question 3bii (30% given 2 marks) Yet another matrix question- is out of course.
Question 3c (13% of the cohort got 2 marks) Yet another probability question- sort of like combinatorics.
Question 3d (12% snagged all 4 marks) A normal/binomial distribution question
Question 4cii (17% received 3 marks) Related rates question- that’s out of the course
Question 4e (11% got 2 marks) Continuation of rates question
Question 4f (11% got that mark) continuation of rates question
Question 5aii (45% received 1 mark) Find the shaded area
Question 5aiii (36% received a mark) Find the total area
Question 5bi (34% awarded 2 marks) Find the x-coordinate
Question 5bii (11% received a mark) Find a set of values of “a” so that the graphs have two distinct points of interesection
Question 5c (11% got 2 marks) Find the value of a.

2011 Extended Response

Question 1a (20% received the full 3 marks) A related rates question
Question 1dii (29% received both marks) continuation of the related rates question
Question 2b (37% awarded 3 marks) Find the mean
Question 2cii (30% awarded 2 marks) Find the value of a so the probability=0.7
Question 2e (9% snagged all 3 marks) Sneaky conditional probability question
Question 3aii (47% got 1 mark) Explain why the derivative is always greater or equal to 5
Question 3bi (9% got 1 mark) What are the possible values of m if p has stationary points?
Question 3bii (20% got a mark) if p has an inverse, what are the values of m?
Question 3di (30% bagged 3 marks) Find c when g has 1 stationary point
Question 3dii (9% bagged 3 marks) when g and g^-1 intersect, find the value of k
Question 4a (39% got this one in the bag and got 3 marks) Find the length
Question 4bi (36% got this correct and were given 3 marks) Find the derivative and then find the coordinates
Question 4bii (30% got 2 marks) Find the length of the pipeline from the desal plant to the village
Question 4c (11% got all 3 marks) Find the total time taken to get to the desal plant
Question 4dii (22% got 2 marks) Find the coordinates to get to the desal plant in min time
Question 4e (17% got 2 marks) Find the value of k to get to the desal plant in minimum time from (1,0)
Question 4f (1% got full marks) Find the value of k from camp to desal in minimum time.

2010 Extended Response

Question 1aii (44% got 3 marks) A sketch the inverse question
Question 1aiv (41% received both marks) A calculate the area bound between the two graphs question
Question 1bv (30% snagged both marks) Find the exact value of p on the tangent if (-1, 0) lies on it
Question 2a (49% got 2 marks) A matrix probability question- pretty sure this is out of the course
Question 2di (36% received all 3 marks) Another matrix probability question
Question 2dii (10% received all 4 marks) Find the expected value
Question 2e (15% got 3 marks) Calculate the minimum number of “statues”
Question 3b (42% got 2 marks) Find the equation for the total surface area
Question 3c (26% got 2 marks) Find the height of the “pyramid” in terms of x
Question 3d (22% got that mark) Find the volume of the pyramid
Question 3e (17% got all 4 marks) Find the derivative
Question 3f (12% awarded 2 marks) Find the possible values for x
Question 4b (38% snagged 3 marks) In terms of “a” and “b”, what is a stationary point of f?
Question 4c (47% gained that mark) For what value of “a” does f have no stationary points?
Question 4d (14% received 2 marks) Find “a” in terms of “b” if f has one stationary point
Question 4e (37% received 1 mark) What is the max number of stationary points for f?
Question 4f (3% received 3 marks) Find the value of p is there is a stationary point at (1,1) and (p,p)

2009 Extended Response

Question 1eii (13% got 2 marks) Find the derivative
Question 1eiii (17% got 3 marks) Sketch the graph of the derivative
Question 2aii (33% got 2 marks) Show that pronumerals equal values
Question 2bii (41% got this mark) Find the length of the tunnel
Question 2c (35% received a mark) Find k in terms of w
Question 2d (30% awarded 2 marks) Find w
Question 2e (23% snagged 2 marks) Find the exact distance
Question 3ci (42% got a mark) Standard conditional probability question
Question 3cii (4% received both marks) Binomial question
Question 3d (22% got 3 marks) Find the standard deviation
Question 3g (23% got 2 marks) Find the smallest sample size so that p is less than 0.45
Question 4ai (32% received 1 marks) Show that “h=2r”
Question 4aii (40% got a mark) Find an expression for the volume
Question 4b (40% got 2 marks) Find the derivative and the rate that it is increasing (the related rates are gone from the study design)
Question 4cii (47% awarded the mark) Find the height when it is increasing- related rates, see above
Question 4dii (25% got 1 mark) Find an expression for the height of the acid in terms of t (more related rates)
Question 4ei (34% snagged the mark) More related rates
Question 4eii (16% awarded 2 marks) The end of the related rates question!!

2008 Extended Response

Question 1bii (46% got all 3 marks) Standard probability question
Question 1biii (17% received 3 marks) A matrix probability question- out of course
Question 1biv (46% awarded a mark) Another matrix probability question
Question 1ci (43% got 2 marks) Sketch the probability density function
Question 2aii (37% snagged 2 marks) A gradient question
Question 2ci (27% got 2 marks) Express the area of the region bounded by…
Question 2cii (26% got 2 marks) What value of “a” does the area equal 7?
Question 2ciii (11% received this mark) Explain why “a<e”
Question 2d (9% of the cohort got these 2 marks) Find the values of “m” and “n” such that the two integrals equal the numbers
Question 3e (33% got that mark) “Show that he gets to the camp in time to get to the antidote”
Question 3f (43% received 2 marks) What are the coordinates of “A” and “C”?
Question 3g (22% got 2 marks) Find the equation of the curve
Question 3h (16% awarded a mark) “How many days does he need to take a capsule”?
Question 4aiii (39% got all 3 marks) Sketch the equation of the normal
Question 4b (30% awarded 2 marks) Find the values of x
Question 4c (37% awarded 2 marks) Find the exact value of a
Question 4dii (40% snagged both marks) Solve the equation
Question 4e (26% got both marks) Sketch the graph

2007 Extended Response

Question 1c (33% received 2 marks) Find the value of r so that the surface area is a minimum
Question 1d (3% awarded 2 marks) Find the max possible surface area of the “can”
Question 2a (44% got a mark) “What is the value of m”
Question 2b (37% got 3 marks) Sketch the graph
Question 2c (48% received 2 marks) What is the minimum
Question 2d (41% got 1 mark) Find the time
Question 2e (35% bagged 2 marks) What length of time
Question 2fii (49% bagged a mark) Find the length of time
Question 2g (14% got 3 marks) “Show that it is possible for him to recover the diamond successfully and state how much time he has to spare”
Question 3a (49% snagged 2 marks) Find the value of x where “g(x)” is a max
Question 3bii (48% got 2 marks) Find the total area of the shaded regions
Question 3c (33% got 2 marks) Find the maximum value of “|f(x)-g(x)|”
Question 3di (13% got 2 marks) State two transformations
Question 3dii (13% received 2 marks) Find a cubic polynomial
Question 4a (26% got 2 marks) Explain why “a=1 and b=-1”
Question 4cii (15% got 2 marks) Sketch and label the inverse function
Question 4di (26% got 2 marks) a show that question that involves substitution
Question 4dii (29% awarded that mark) another show that question that involves substitution
Question 5a (22% got the full 2 marks) Sketch the graph
Question 5c (43% got both marks) Standard conditional probability question
Question 5d (37% got the full 2 marks) Binomial probability question
Question 5e (25% got both marks) A standard probability question
Question 5fi (15% got 2 marks) Find the max value
Question 5fii (9% received 2 marks) Find when the max occurs

2006 Extended Response

Question 1c (17% got 2 marks) Find the exact value of “m”- a tangent problem
Question 1d (15% got 2 marks) Find the general solution for the trig equation, when the function equals 1.
Question 2aii (36% received 2 marks) A probability question where a tree diagram would be useful
Question 2b (46% received a mark) A transition matrix question
Question 2e (35% awarded 2 marks) A binomial question
Question 2f (33% got 2 marks) Find the median
Question 3e (13% scored all 4 marks) Find the values of “k” for the equation given
Question 4bi (41% scored 2 marks) Find “q” in terms of “p”
Question 4bii (34% scored a mark) Find “f(1)” in terms of “p”
Question 4biii (27% awarded a mark) Find the value of “a” for which “f’(a)=0”
Question 4biv (26% bagged 2 marks) If “a=17/3” find p and q
Question 4e (31% snagged 3 marks) Find the values “a” and “b”
Question 4f (28% got all 4 marks) Find the shaded area

I also made a kahoot for the multi-choice if anyone's interested.

[Sine]

The MAV ones scar me for life tbh... but whatevers.

Meanwhile, I've collated all the exam 2 difficult questions from 2006-2015 and here they are:

2015 MCQ

Question 3 (20%) A rule for a function question
Question 9 (37%) Finding the expected value of a function
Question 11 (24%) A transformations question
Question 16 (22%) A “which one is true?” question
Question 18 (48%) Another “which of the following is true” question
Question 21 (37%) A two graphs will no points of intersect for which values
Question 22 (35%) A which of the following represents this best

2014 MCQ

Question 13 (43%) What is the domain of the function?
Question 14 (45%) A conditional probability question
Question 15 (44%) “the max value of x is closest to”
Question 16 (46%) “The value of integral is…”
Question 20 (44%) Average value question
Question 21 (28%) Max area of a shape
Question 22 (37%) Probability of an event happening ratios

2013 MCQ

Question 7 (37%) A max value for pronumeral question
Question 11 (47%) A tangent to the graph question
Question 12 (35%) The value of the derivative at a point
Question 15 (25%) “Let h be a function with an average value of 2 over the interval [0, 6]. The graph could be”
Question 16 (21%) “Which one of the following definite integrals could be used to find the area of the shaded region?”
Question 17 (49%) Conditional probability problem
Question 18 (35%) “Which one is true for all values of x?”
Question 20 (25%) Matrices and transformations
Question 21 (29%) A cubic has no stationary points when…
Question 22 (47%) What is the value of the standard deviation (in a normal distribution)
 

2012 MCQ

Question 4 (45%) “The derivative of the composite function is”
Question 8 (49%) “The gradient of the graph is negative for”
Question 16 (34%) The value of a pronumeral for one solution question
Question 17 (43%) Linear equations question with matrix (matrix n/a anymore woo!), no solution problem
Question 18 (30%) A “which is false” question
Question 19 (45%) A possible rule question
Question 20 (19%) Calculate the probability question
Question 22 (32%) What does this function have?

2011 MCQ

Question 13 (45%) A normal distribution problem- find the mean
Question 14 (44%) Find the area of the shaded region
Question 16 (41%) A which is not true question
Question 17 (48%) Find the equation of the normal
Question 19 (43%) Approximation question – I personally haven’t see this since the 2009 exam 1.
Question 21 (15%) Independent events question
Question 22 (45%) What is the log expression equal to?

2010 MCQ:

Question 7 (47%) Simultaneous equations problem, infinitely many solutions
Question 12 (44%) Probability (binomial) problem
Question 18 (45%) A which statement is true question
Question 20 (25%) An integration by recognition question
Question 21 (43%) A probability question
Question 22 (29%) A find the rule question

2009 MCQ:

Question 1 (49%) Simultaneous equations problem, a unique solution
Question 9 (49%) Find the equation of the tangent
Question 17 (31%) Sample space question
Question 20 (34%) Number of solutions question
Question 21 (43%) Local maximum question
Question 22 (45%) Area bounded by question

2008 MCQ:

Question 4 (49%) Finding what a definite integral equals to
Question 6 (45%) Simultaneous equations question, infinitely many solutions
Question 9 (38%) Transformations matrices
Question 10 (45%) The range of a function
Question 12 (44%) Finding the value of a substitution
Question 15 (7%) Sample space question
Question 18 (36%) Transformations question

2007 MCQ:

Question 5 (36%) Simultaneous linear equations- looking for a unique solution
Question 6 (39%) Finding the range of a function
Question 17 (47%) A ‘find the function that satisfies’ question
Question 21 (27%) Finding x such that question
Question 22 (37%) Graph of combined functions question

2006 MCQ:

Question 10 (48%) A rate of increase question- pretty sure this got turfed out of the course
Question 13 (33%) Transformations with matrices
Question 17 (37%) A possible rule for a function question
Question 19 (35%) A simultaneous linear equations problem: looking for no solutions

2015 Extended Response:

Question 2a (33% got the 2 marks) Finding an angle between the tangent and a point (to the nearest degree)
Question 2b (44% got the 2 marks) Find the maximum downwards slope of the road
Question 2c (33% got all 3 marks) Find the coordinates of M (to 2 decimal places)
Question 2d (21% got all 3 marks) Find the value of the pronumeral and the lengths “MN and “PQ”
Question 2e (49% got all 3 marks) Find the x-coordinates (to 2 decimal places) of the points where the curve meets the parabola
Question 3aii (47% got both marks) Find the probability that an “orange has a diameter greater than 7cm”
Question 3dii (35% got both marks) Find the smallest sample so that Pr(X=x)>0.5
Question 4a (36% got this mark) “What is the value of a?”
Question 4c (41% got both marks) Find two transformations that map y=f(x) onto y=h(x)
Question 4di (12% got the 2 marks) Find the area enclosed by the graphs if “n” is even
Question 4dii (9% received 2 marks) Find the area enclosed by the graphs is “n” is odd
Question 5aiv (43% bagged both 2 marks) Find the average rate of change over an interval
Question 5ci (4% received both marks) Find a set of possible values for the pronumeral such that the minimum of the function occurs at t=0
5cii (4% received both marks) Find a set of possible values for the pronumeral such that the minimum of the function occurs at t=5
Question 5d (11% awarded both marks) Find the value of a pronumeral when the volume is at a local minimum.

2014 Extended Response

Question 1d (29% awarded 2 marks) Find the “fraction of time” when the “population” was less than n(10)
Question 2d (42% received the mark) Find the value of “h” when “S” is a minimum
Question 2f (22% bagged all 3 marks) find the derivative in terms of “h”
Question 2g (40% received a mark) “Find the rate of which the height of the cylinder will be decreasing” – This is related rates, pretty sure it’s out of the course
Question 2h (9% received both marks) “Find the year that the top of the statue will just be exposed”
Question 3cii (26% awarded 2 marks) “Find the values of t₁ and t₂”
Question 3d (29% received 3 marks) Find the value of the pronumeral is the max “concentration” was 0.74mg/L at t=0.5hours
Question 4a (43% got this mark) “What is the minimum height”
Question 4b (47% got both marks) How many “basil plants” need to be moved?
Question 4d (25% snagged both marks) “Find the max height”
Question 4e (23% received both marks) “Find the minimum value”
Question 4fii (48% got 2 marks) Calculate the value of p
Question 4g (43% got 2 marks) Find the probability that the fifth pot made is smooth- uses transition matrices- out of the course
Question 5a (48% got 2 marks) “Express x 4 – 8x in the form x(x – a) ((x + b)2 + c )
Question 5b (37% got the mark) “Describe the translation”
Question 5ci (7% got a mark) Find the values of d such that the graph of y = f(x+d ) has one positive x-axis intercept
Question 5cii (19% received this mark) “Find the values of d such that the graph of y = f(x+d ) two positive x-axis intercepts.”
Question 5d (17% were awarded this mark) “Find the value of n for which the equation g x n ( ) = has one solution.”
Question 5ei (24% snagged 2 marks) Find the value of
Question 5eii (10% snagged that mark) Find “u” and “v” if “u+v=1”
Question 5fi (22% got that mark) “Find the equation of the tangent”
Question 5fii (11% received all 3 marks) “Find the equations of the tangents”

2013 Extended Response

Question 1d (45 got 2 marks) How long is the time great/equal to 26?
Question 1fi (10% got 2 marks) Find the values of the pronumerals
Question 1fii (12% got that mark) Find the coordinates of “P’ “
Question 2aii (39% got all 3 marks) “What is the probability that more than 15 complete “S” in less than 3 mins” – conditional probability!
Question 2ci (46% bagged 2 marks) Find the expected value
Question 2cii (42% got the 2 marks) How many are expected to finish “S”?
Question 3di (21% correctly got the 2 marks) Find the coordinate
Question 3dii (17% got 2 marks) Find the length
Question 3f (44% got 2 marks) Find the value of x when V is at a max
Question 3g (35% got 2 marks) If “m=10”, find the max speed of the “train”
Question 3h (25% got both marks) if the V max is 120, what is “m”?
Question 4aii (26% got all 3 marks) “Evaluate the area of the shaded region”
Question 4b (15% bagged all 3 marks) Find the positive x-coordinate of “Q” for which “OQ” is a min and find the min distance
Question 4c (6% snagged these 2 marks) Find the gradient of the tangent
Question 4di (3% gained 2 marks) Find the rule “A(k)” that gives the area of the shaded region
Question 4dii (3% gained 2 marks) Find the max area of the shaded region
Question 4diii (2% gained these 2 marks) Find the min area of the shaded region

2012 Extended Response

Question 1b (38% received the full 2 marks) Find the possible values of x if V(x) > 0
Question 1d (45% received both marks) Find the exact values of x and h for a max volume
Question 2a (43% got all 3 marks) Sketch the graph, label with asymptotes and coordinates of intercepts
Question 2c (10% received 2 marks) Find the equation of the tangent
Question 2d (14% received all 4 marks) Find the coordinates of the points on the graph so that the tangents intersect at (-1, 7/2)
Question 2e (8% snagged both marks) Find the values of a, c, d using the matrices transformations technique
Question 3aii (48% got 2 marks) A binomial question
Question 3bi (32% awarded 3 marks) A transition matrix question- transition matrices are out of our study design!
Question 3bii (30% given 2 marks) Yet another matrix question- is out of course.
Question 3c (13% of the cohort got 2 marks) Yet another probability question- sort of like combinatorics.
Question 3d (12% snagged all 4 marks) A normal/binomial distribution question
Question 4cii (17% received 3 marks) Related rates question- that’s out of the course
Question 4e (11% got 2 marks) Continuation of rates question
Question 4f (11% got that mark) continuation of rates question
Question 5aii (45% received 1 mark) Find the shaded area
Question 5aiii (36% received a mark) Find the total area
Question 5bi (34% awarded 2 marks) Find the x-coordinate
Question 5bii (11% received a mark) Find a set of values of “a” so that the graphs have two distinct points of interesection
Question 5c (11% got 2 marks) Find the value of a.

2011 Extended Response

Question 1a (20% received the full 3 marks) A related rates question
Question 1dii (29% received both marks) continuation of the related rates question
Question 2b (37% awarded 3 marks) Find the mean
Question 2cii (30% awarded 2 marks) Find the value of a so the probability=0.7
Question 2e (9% snagged all 3 marks) Sneaky conditional probability question
Question 3aii (47% got 1 mark) Explain why the derivative is always greater or equal to 5
Question 3bi (9% got 1 mark) What are the possible values of m if p has stationary points?
Question 3bii (20% got a mark) if p has an inverse, what are the values of m?
Question 3di (30% bagged 3 marks) Find c when g has 1 stationary point
Question 3dii (9% bagged 3 marks) when g and g^-1 intersect, find the value of k
Question 4a (39% got this one in the bag and got 3 marks) Find the length
Question 4bi (36% got this correct and were given 3 marks) Find the derivative and then find the coordinates
Question 4bii (30% got 2 marks) Find the length of the pipeline from the desal plant to the village
Question 4c (11% got all 3 marks) Find the total time taken to get to the desal plant
Question 4dii (22% got 2 marks) Find the coordinates to get to the desal plant in min time
Question 4e (17% got 2 marks) Find the value of k to get to the desal plant in minimum time from (1,0)
Question 4f (1% got full marks) Find the value of k from camp to desal in minimum time.

2010 Extended Response

Question 1aii (44% got 3 marks) A sketch the inverse question
Question 1aiv (41% received both marks) A calculate the area bound between the two graphs question
Question 1bv (30% snagged both marks) Find the exact value of p on the tangent if (-1, 0) lies on it
Question 2a (49% got 2 marks) A matrix probability question- pretty sure this is out of the course
Question 2di (36% received all 3 marks) Another matrix probability question
Question 2dii (10% received all 4 marks) Find the expected value
Question 2e (15% got 3 marks) Calculate the minimum number of “statues”
Question 3b (42% got 2 marks) Find the equation for the total surface area
Question 3c (26% got 2 marks) Find the height of the “pyramid” in terms of x
Question 3d (22% got that mark) Find the volume of the pyramid
Question 3e (17% got all 4 marks) Find the derivative
Question 3f (12% awarded 2 marks) Find the possible values for x
Question 4b (38% snagged 3 marks) In terms of “a” and “b”, what is a stationary point of f?
Question 4c (47% gained that mark) For what value of “a” does f have no stationary points?
Question 4d (14% received 2 marks) Find “a” in terms of “b” if f has one stationary point
Question 4e (37% received 1 mark) What is the max number of stationary points for f?
Question 4f (3% received 3 marks) Find the value of p is there is a stationary point at (1,1) and (p,p)

2009 Extended Response

Question 1eii (13% got 2 marks) Find the derivative
Question 1eiii (17% got 3 marks) Sketch the graph of the derivative
Question 2aii (33% got 2 marks) Show that pronumerals equal values
Question 2bii (41% got this mark) Find the length of the tunnel
Question 2c (35% received a mark) Find k in terms of w
Question 2d (30% awarded 2 marks) Find w
Question 2e (23% snagged 2 marks) Find the exact distance
Question 3ci (42% got a mark) Standard conditional probability question
Question 3cii (4% received both marks) Binomial question
Question 3d (22% got 3 marks) Find the standard deviation
Question 3g (23% got 2 marks) Find the smallest sample size so that p is less than 0.45
Question 4ai (32% received 1 marks) Show that “h=2r”
Question 4aii (40% got a mark) Find an expression for the volume
Question 4b (40% got 2 marks) Find the derivative and the rate that it is increasing (the related rates are gone from the study design)
Question 4cii (47% awarded the mark) Find the height when it is increasing- related rates, see above
Question 4dii (25% got 1 mark) Find an expression for the height of the acid in terms of t (more related rates)
Question 4ei (34% snagged the mark) More related rates
Question 4eii (16% awarded 2 marks) The end of the related rates question!!

2008 Extended Response

Question 1bii (46% got all 3 marks) Standard probability question
Question 1biii (17% received 3 marks) A matrix probability question- out of course
Question 1biv (46% awarded a mark) Another matrix probability question
Question 1ci (43% got 2 marks) Sketch the probability density function
Question 2aii (37% snagged 2 marks) A gradient question
Question 2ci (27% got 2 marks) Express the area of the region bounded by…
Question 2cii (26% got 2 marks) What value of “a” does the area equal 7?
Question 2ciii (11% received this mark) Explain why “a<e”
Question 2d (9% of the cohort got these 2 marks) Find the values of “m” and “n” such that the two integrals equal the numbers
Question 3e (33% got that mark) “Show that he gets to the camp in time to get to the antidote”
Question 3f (43% received 2 marks) What are the coordinates of “A” and “C”?
Question 3g (22% got 2 marks) Find the equation of the curve
Question 3h (16% awarded a mark) “How many days does he need to take a capsule”?
Question 4aiii (39% got all 3 marks) Sketch the equation of the normal
Question 4b (30% awarded 2 marks) Find the values of x
Question 4c (37% awarded 2 marks) Find the exact value of a
Question 4dii (40% snagged both marks) Solve the equation
Question 4e (26% got both marks) Sketch the graph

2007 Extended Response

Question 1c (33% received 2 marks) Find the value of r so that the surface area is a minimum
Question 1d (3% awarded 2 marks) Find the max possible surface area of the “can”
Question 2a (44% got a mark) “What is the value of m”
Question 2b (37% got 3 marks) Sketch the graph
Question 2c (48% received 2 marks) What is the minimum
Question 2d (41% got 1 mark) Find the time
Question 2e (35% bagged 2 marks) What length of time
Question 2fii (49% bagged a mark) Find the length of time
Question 2g (14% got 3 marks) “Show that it is possible for him to recover the diamond successfully and state how much time he has to spare”
Question 3a (49% snagged 2 marks) Find the value of x where “g(x)” is a max
Question 3bii (48% got 2 marks) Find the total area of the shaded regions
Question 3c (33% got 2 marks) Find the maximum value of “|f(x)-g(x)|”
Question 3di (13% got 2 marks) State two transformations
Question 3dii (13% received 2 marks) Find a cubic polynomial
Question 4a (26% got 2 marks) Explain why “a=1 and b=-1”
Question 4cii (15% got 2 marks) Sketch and label the inverse function
Question 4di (26% got 2 marks) a show that question that involves substitution
Question 4dii (29% awarded that mark) another show that question that involves substitution
Question 5a (22% got the full 2 marks) Sketch the graph
Question 5c (43% got both marks) Standard conditional probability question
Question 5d (37% got the full 2 marks) Binomial probability question
Question 5e (25% got both marks) A standard probability question
Question 5fi (15% got 2 marks) Find the max value
Question 5fii (9% received 2 marks) Find when the max occurs

2006 Extended Response

Question 1c (17% got 2 marks) Find the exact value of “m”- a tangent problem
Question 1d (15% got 2 marks) Find the general solution for the trig equation, when the function equals 1.
Question 2aii (36% received 2 marks) A probability question where a tree diagram would be useful
Question 2b (46% received a mark) A transition matrix question
Question 2e (35% awarded 2 marks) A binomial question
Question 2f (33% got 2 marks) Find the median
Question 3e (13% scored all 4 marks) Find the values of “k” for the equation given
Question 4bi (41% scored 2 marks) Find “q” in terms of “p”
Question 4bii (34% scored a mark) Find “f(1)” in terms of “p”
Question 4biii (27% awarded a mark) Find the value of “a” for which “f’(a)=0”
Question 4biv (26% bagged 2 marks) If “a=17/3” find p and q
Question 4e (31% snagged 3 marks) Find the values “a” and “b”
Question 4f (28% got all 4 marks) Find the shaded area

I also made a kahoot for the multi-choice if anyone's interested.

ledge haha

Repost these as a stand alone post and I can add it to Methods Resources or even sticky.

[Orb]

Love the kahoot, you might want to change the time restriction though (30 seconds is wayyy too short, i'm tutoring this and i still can't do half of them in 30 seconds)

[sweetiepi]

Love the kahoot, you might want to change the time restriction though (30 seconds is wayyy too short, i'm tutoring this and i still can't do half of them in 30 seconds)

I'll go back and change them sometime this afternoon.

[angrypotato1]

I also made a kahoot for the multi-choice if anyone's interested.

god that timer is enraging. but good practice! thanks

e: question 61 isn't a question lmao

e2: cute ending

[sweetiepi]

god that timer is enraging. but good practice! thanks

e: question 61 isn't a question lmao

e2: cute ending

I did change the timing from 30s to 60s late late night, if you're wondering!

Q 61- Oops! I'll fix that as soon as possible!

[argent]

Hey everyone,
What kinds of sampling questions do we think will come up on Exam 1??

[angrypotato1]

Hey everyone,
What kinds of sampling questions do we think will come up on Exam 1??

has to be able to do by hand, so nothing to complex. I'm thinking 95% confidence intervals with a nice p and n value. Possibly some standardization formula stuff

[Sine]

They will most likely be sampling from a small population and us having to construct a probability distribution table for p hat. Maybe just calculating the expected value, standard deviation or variance of p hat.

[larissaaa_]

Can we write in pencil for the short answer and extended response? I've heard so many theories and like vcaa doesn't tell us what they want like on the chem and bio exams.

[deejay9]

Can we write in pencil for the short answer and extended response? I've heard so many theories and like vcaa doesn't tell us what they want like on the chem and bio exams.

On the second Further exam today (which is short answer questions) they specified that you had to write in either blue or black pen.

[larissaaa_]

On the second Further exam today (which is short answer questions) they specified that you had to write in either blue or black pen.

Thankyou!

[JellyBeanz]

I think the max marks in a sampling question will be 4 and something similar to manually constructing a confidence interval and/or finding expected value and standard deviation like Sine and angrypotato said