Download Year 5 Diagnostic

Name: _________________________________
Mathletics Diagnostic Test
Year 5 - National Curriculum
7376
ANSWER KEY
Statistics and Probability
Suggested Time: 25 - 35 minutes
15 marks
Name:
Teacher:
Date:
All questions are worth one mark.
Sub-strand and content elaborations are based on Version 1.2 ACARA Australian National Mathematics Curriculum Year 5 | March 2011
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Section 1 - Chance
ACMSP116/117
a
A
b
A
c
A
d
What is the probability of tossing 'heads' on a coin?
1/4
B
1
unlikely
C
0
1/2
0
1/6
What is the chance of rolling a 5 on a six-sided die?
no way
B
1
5/6
C
If an outcome is equally likely to happen, then it is said to have the probability of:
unlikely
B
1
0
C
0
1/2
A jar has both red and blue marbles in it. If the probability of choosing a red marble is
0.9, then what is the probability of choosing a blue marble?
Write your answer and show how you worked it out in the space below.
0.1
Answer:
e
A class has both boys and girls in it. If the probability of choosing a boy's name from
the class roll is 0.4, then what is the probability of choosing a girl's name?
Write your answer and show how you worked it out in the space below.
0.6
Answer:
ACMSP116/117
/5
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Section 2 - Data Representation and Interpretation
ACMSP118/120
Use the graph below to answer questions a and b.
Graph showing number of insect species collected in the playground in one year.
a
b
In which month were the most species collected?
0
July
C
August
B
January
D
June
How many insect species were collected in March?
A
can't tell
C
more than 20
0
13
D
5
Questions continued on next page.
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Use the table below to answer questions c to e.
Sample broadband internet contract options.
c
d
e
From the table above, which is the best value option if you plan on using 160GB of
data?
0
The $79.99 plan
C
The $59.99 plan
B
The $109.99 plan
D
The $69.99 plan
Which plan would you need to choose if you need a 'home WIFI modem' and
100GB of data?
A
The $129.99 plan
0
The $109.99 plan
B
The $139.99 plan
D
The $79.99 plan
How much peak data do you get for $59.99 per month?
A
75GB
C
unlimited
B
80GB
0
50GB
ACMSP118/120
/5
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Section 3 - Data Representation and Interpretation
ACMSP119
Use the table of information below to answer the following questions.
a
If you wanted to estimate how much Sarah's car would be worth in 2018, how
could you work it out?
Drawing a graph of the data and extending it
(extrapolating) to the year 2018 would help. Teacher
discretion.
Answer:
b
Draw a graph of the information in the table above.
Value of Sarah's Car Value
$30,000
$25,000
$20,000
$15,000
$10,000
$5,000
$0
2004
2006
2008
2010
2012
2014
2016
Teacher discretion
Answer:
Refer to the graph on the previous page to answer this question.
c
Give one reason why we use graphs to help us interpret data from a table.
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Graphs allow us to interpret the data more
visually and make predictions of trends. Teacher
discretion
Answer:
d
e
Complete the table below by filling it in with your own data. The information can be
made up. Make sure the data is clear as you will use it to create a graph in
question e.
Animals
Count
Goannas
1
Kangaroos
8
Koalas
4
Emus
10
Lizards
6
Snakes
7
Cicadas
15
Teacher
discretion
Draw a dot plot of the data you suggested in question d.
Sample dot plot
Teacher discretion
Answer:
ACMSP119
/5
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011