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Brisbane School of Distance Education
Task Sheet - Exam
Student name
Class Name Year level/ Subject 9 Maths
Teacher name
Task title SA6 - Exam Due Date
To be received by
5pm Friday 18th Novembe
Technique Supervised exam Mode Written
Text type Short answer response Duration Up to 60 minutes
Task Purpose
Students will apply the proficiencies of understanding and fluency and reasoning and problem
solving across the topics of Statistics and Probability. Students will apply mathematical
processes, solve problems and communicate their understanding of Statistics and Probability.
Task details/ Instructions
• Write your name on this cover page and circle your teacher’s name.
• Complete all questions with full working and answers, in the spaces provided.
• Use a black or blue pen, or a dark pencil. Be sure that your handwriting is legible for scanning.
• Read all questions carefully.
• If extra paper is needed, write your name on the top of each page and label questions clearly.
• On completion of the exam, sign the student declaration and date it.
• The supervisor is also required to sign the declaration and date it.
• The supervisor is required to scan the completed task sheets and any extra pages into a single multi-
page pdf document and save as “MAT_09_SA6_Lastname_Firstname”. This file should then be uploaded to
Blackboard. The original documents should be kept safe until results have been returned.
Conditions
Perusal is for reading the paper only. No notes can be made or writing on any paper.
No exam supervisor input is permitted.
No access to computers, textbooks or student notes are permitted. Scientific calculators are permitted.
Blank lined paper may be supplied by the student.
The supervisor should be present for the duration of the exam.
Superviso
Parent declaration Student declaration of Academic Integrity
I declare that this assessment has been completed in
accordance with the conditions and instructions above
and the work submitted is the student’s own work,
and has not been written by any other person.
Supervisor name: __________________________
Signature:__________________ Date:__________
I declare that this exam has been completed in
accordance with the instructions and the work submitted
is my own work and has not been written nor assistance
given by any other person.
NB: Your work will not be marked if the student declaration is not signed and dated.
Student name: ________________________________
Signature:___________________ Date:____________
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Topic: Statistics and Probability
Purpose: Students will demonstrate the application of the proficiencies of understanding and fluency and reasoning and problem solving across the topics of Statistics and
Probability. Students will apply mathematical processes, solve problems and communicate their understanding.
A B C D E
U
n
d
e
st
an
d
in
g
an
d
F
lu
en
cy
C
o
n
ce
p
tu
al
u
n
d
e
st
an
d
in
g
connection and description
of mathematical concepts
and relationships in
unfamiliar situations
connection and description of
mathematical concepts and
elationships in complex familiar
situations
ecognition and identification of mathematical concepts and
elationships in simple familiar situations
some identification of
simple mathematical
concepts
statements about
obvious mathematical
concepts
P
o
ce
d
u
a
l
fl
u
en
cy
ecall and use of facts,
definitions, technologies
and procedures to find
solutions in unfamiliar
situations
ecall and use of facts, definitions,
technologies and procedures to
find solutions in complex familiar
situations
ecall and use of facts, definitions, technologies and
procedures to find solutions in simple familiar situations
some recall and use of
facts, definitions,
technologies and simple
procedures
partial recall of facts,
definitions or simple
procedures
M
at
h
em
at
ic
al
la
n
g
u
ag
e
an
d
sy
m
o
ls
effective and clear use of
appropriate mathematical
terminology, diagrams,
conventions and symbols
consistent use of appropriate
mathematical terminology,
diagrams, conventions and symbols
use of appropriate mathematical terminology, diagrams,
conventions and symbols
use of aspects of
mathematical
terminology, diagrams and
symbols
use of everyday language
Questions 11 13 7b 10a 1 2a 2b 3 4a 4b 7a 8a 9a 9b
P
o
le
m
S
o
lv
in
g
&
R
ea
so
n
in
g P
o
le
m
-
so
lv
in
g
ap
p
o
ac
h
es
systematic application of
elevant problem-solving
approaches to investigate
unfamiliar situations
application of relevant problem-
solving approaches to investigate
complex familiar situations
application of problem-solving approaches to investigate
simple familiar situations
some selection and
application of problem-
solving approaches in
simple familiar situations.
partial selection of
problem-solving
approaches
M
at
h
em
at
ic
al
m
o
d
el
lin
g
development of
mathematical models and
epresentations in
unfamiliar situations
development of mathematical
models and representations in
complex familiar situations
development of mathematical models and representations in
simple familiar situations
statements about simple
mathematical models and
epresentations
isolated statements
about given
mathematical models
and representations
R
ea
so
n
in
g
a
n
d
ju
st
if
ic
at
io
n
clear explanation of
mathematical thinking and
easoning, including
justification of choices
made, evaluation of
strategies used and
conclusions reached
explanation of mathematical
thinking and reasoning, including
easons for choices made,
strategies used and conclusions
eached
description of mathematical thinking and reasoning, including
discussion of choices made, strategies used and conclusions
eached
statements about choices
made, strategies used and
conclusions reached
isolated statements
about given strategies or
conclusions
Questions 12 8b 5 6 10b
Comment
Understanding & Fluency Problem Solving & Reasoning Overall Results
3
Fluency and Understanding
Simple Familia
Question 1
The following table shows the total number of State of Origin games won by each team in the last 20 years.
Queensland New South Wales
27 15
Circle the co
ect probability of Queensland winning a game at the State of Origin.
A.
9
5
B.
5
14
C.
9
14
D.
15
17
Question 2
In a survey of 50 coffee drinkers, 33 have milk and 11 have sugar with their coffee. The information is summarised in
a Venn Diagram below.
a. What is the probability that a coffee drinker has sugar only?
A.
3
14
B.
36
50
C.
11
50
D.
3
50
. What is the probability that a coffee drinker has milk or sugar?
A.
11
14
B.
36
50
C.
28
50
D.
28
14
Question 3
Students at BrisbaneSDE conducted a survey on Australia’s most popular TV shows by surveying Year 9 students.
Circle the classification(s) that best describe this type of data.
A. Population B. Categorical C. Sample D. Numerical
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Question 4
A bag of balls contains 5 black balls and 5 red balls. Two balls are selected (without replacement).
a) Complete the tree diagram below to list all possible outcomes.
) Calculate the probability of selecting two red balls.
Problem Solving and Reasoning
Simple Familia
Question 5
You roll two dice. The first die lands on the table and the other die rolls under a chair and
you cannot see it. What is the probability that both dice show a three?
5
Question 6
The following are daily wages in dollars for 11 workers.
$195, $280, $275, $315, $420, $275, $160, $842, $359, $275, $740
Ann says that the average wage is $280. Ha
y says the average wage is $376.
Show how they can both be co
ect.
Fluency and Understanding
Simple Familiar / Complex Familia
Question 7
A box claims to contain 100 matches. A survey of 200 boxes had the following results.
If you were to purchase a box of matches, what is the probability that:
a. The box would contain exactly 100 matches
. The box would contain at least 100 matches
Number of matches XXXXXXXXXX XXXXXXXXXX
Frequency XXXXXXXXXX XXXXXXXXXX
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Question 8
Arathi purchases 7 computer games at a sale. Three games cost $20 each, two games cost $30, one game costs
$50, and the last game cost $200.
a. Calculate the mean, median, and the mode, and range.
Mean =
Median =
Mode =
Range =
. Which of the mean, median or mode gives the best ‘average’ for the cost of Arathi’s games? Justify your
esponse using statistical reasoning.
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Question 9
A shop owner has two jeans shops. The daily sales in each shop over a 7-day period are recorded in the table below.
a. Construct a stem-and-leaf plot for the Daily Jean Sale.
. The mean for Shop A is 18.7 and the mean for Shop B is 10.3. Compare and comment on the
differences between the sales made by the two shops. Refer to the mean, mode, median, and range.
Shop A XXXXXXXXXX
Shop B XXXXXXXXXX
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Question 10
The table below represents the data collected over a month of 30 consecutive days displaying the delay time (in
minutes) of an Airline’s flight departures.
Airline A Frequency
Number of minutes delayed XXXXXXXXXX XXXXXXXXXX
Number flights XXXXXXXXXX
a. Construct a histogram using the data provided in the frequency table.
. Circle the term that best describes the histogram.
A. Skewed B. Symmetric C. Mode D. Bimodal
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Question 11
There are two classes at a High School. Both classes completed the same exam. The sum of the scores of Class A
was identical to the sum of the scores of Class B. Given that;
• Class A has 20 students and a mean score of 60.
• Class B has 24 students
Find the mean score of class B.
Problem Solving and Reasoning
Complex Unfamiliar
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Question 12
Each standard box contains 12 chocolates.
One chocolate is selected at random from 60 different boxes and the results are shown in the table.
Using these results, predict how many chocolates of each type of filling are likely to be in a standard box placing your
answers in the table below.
(Show working below)
Strawbe
y Caramel Coconut Nut Crunch Mint
Filling Total
Strawbe
y 11
Caramel 14
Coconut 9
Nut Crunch 19
Mint 7
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Question 13
Stacey and Christine compete against each other in a duathlon. A duathlon consists of a run and then a bike ride.
• Stacey and Christine each have an equal chance of winning the run.
• If Stacey wins the run, the probability that she wins the bike ride rises to 0.7
• If Stacey loses the run, the probability that she wins the bike ride is 0.4.
Construct a tree diagram to determine the probability that Stacey wins both the run and the bike ride.
Understanding and Fluency
Complex Unfamiliar