Name: _________________________________
Mathletics Diagnostic Test
Year 4 - National Curriculum
9032
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 4 | March 2011
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Section 1 - Chance
ACMSP092-094
a
A
b
0
c
A
d
e
If it is dry, what is the probability it will be raining?
certain
B
likely
C
unlikely
0
impossible
godzilla will
attack
Which is the most likely to occur?
the sun will rise
B
pigs will fly
C
it will hail
D
0
snow in the
desert
D
Which is the least likely to occur?
rain on the
hills
B
snow in the
mountains
sunshine on
the coast
Which outcome is no way dependent on the other?
A
two people with the same name will have the same
interests
B
a team that has won 50% of games will win the next
game
C
an undefeated team will win the next game
0
a second baby will be a boy if the first was a girl
A school has an equal number of boys and girls in it. If you have to choose names of
the students out of a hat, explain if it is possible to pick 3 boys in a row.
Answer:
Because the previous choice doesn't affect the next choice
(especially if the names are then put back into the hat) - any
statement that shows that the outcome is not closely linked
to the previous outcome.
ACMSP092-094
/5
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Section 2 - Data Representation and Interpretation
ACMSP095/096
a
b
What is the best way to collect data on people's opinions on whether a skate park
should be built or not?
0
a survey
C
a tally
B
a graph
D
a table
What is the best method for collecting data on how many species of insects there
are in your school's playground?
0
daily sampling on 1 m² piece C
of card
B
a photograph
D
a tally
a survey
Use the following information to answer questions c - e.
Regional Population Growth, Australia, 2009-10. Australian Bureau of Statistics. 31 March, 2011.
Draw a graph in the space below showing the data above. Use a ruler.
Teacher discretion
Population
c
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
d
From the data provided, which city has the second greatest population?
A
Canberra
C
Adelaide
B
Sydney
0
Brisbane
The pie chart below represents the same data as the data in the table in question c.
Sometimes charts can display information in a way that can be misleading.
There is a lot of information missing from this chart.
e
What does the above pie chart actually tell you?
A
all major city populations
C
the population of Sydney
B
the total population of
Australia
0
the population of 5 major
cities in Australia
ACMSP095/096
/5
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Section 3 - Data Representation and Interpretation
ACMSP097
Use the information below to answer the following questions.
a
If each bottle represents 8 bottles, how many bottles were collected in total?
144
Answer:
b
0
c
A
d
0
d
A
If each bottle now represents 4 bottles, how many brown bottles were collected?
72
B
73
C
54
90
D
If 36 clear bottles are collected, using the graph, how many green bottles were
collected?
36
B
48
0
42
48
D
If 35 brown bottles are collected, using the graph, how many green bottles were
collected?
49
B
47
C
44
54
D
Why are symbols sometimes used to represent data in this way?
people are lazy
0
there is a large
amount of data
C it makes it difficult D
to read
there is a small
amount of data
ACMSP097
/5
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011