Download Grade 6-Mathematics Booklet-EQAO

Grade 6
Assessment of Reading, Writing and Mathematics, Junior Division
Student Booklet
Mathematics
Spring 2013
RELEASED ASSESSMENT QUESTIONS
Record your answers on the Multiple-Choice
Answer Sheet.
Beginning in 2013, EQAO will make approximately half, rather than
all, of its test items (questions) public after each assessment. This
process allows EQAO to build up a bank of items that can be used
in future years.
The best practice for supporting students is to review their achievement
of the knowledge or skills being assessed, rather than focus on the
specific test items. To facilitate that process, items that are not being
published have been described in this booklet, including a reference
to the knowledge or skill they assessed. Test booklets and examples
of student answers from the past five years also remain available at
www.eqao.com.
Mathematics
Section 1
Section 1: Mathematics
Grade 6, Spring 2013
1 Points P and Q are two vertices of a rectangle.
y
2 Mrs. Sherman asks students to record their
favourite subjects. The data is shown in the
graph below.
10
Favourite Subjects
9
8
36
5
6
7 8
9 10
x
6
Which set of ordered pairs could represent
the other two vertices of the rectangle?
b
(8, 4) and (8, 9)
c
(1, 3) and (1, 8)
d
(3, 1) and (8, 1)
ym
La
(4, 8) and (9, 8)
G
a
0
t
4
Ar
3
e
2
nc
1
ie
0
12
Sc
1
18
ge
2
ua
3
24
ng
Q
h
P
4
at
5
30
M
6
Number of students
7
Subjects
According to the graph, how many more
students chose math as their favourite subject
than chose gym?
a
7
b
12
c
21
d
33
Student Booklet: Mathematics
3
Section 1: Mathematics
Grade 6, Spring 2013
3 Consider the growing pattern shown on the
grid below.
5 A parallelogram is shown below.
T
6 cm
11
5 cm
10
Term
9
8
12 cm
7
Which rectangle has the same area as this
parallelogram?
6
5
a
4
3
5 cm
2
1
0
1
2
3
4
5
n
Term number
6 cm
b
The pattern continues in the same way.
What ordered pair represents the next point
to be plotted in this pattern?
a
(4, 9)
b
(10, 4)
c
(9, 4)
d
(4, 10)
4 cm
12 cm
c
5 cm
12 cm
4 There are 12 books in a case. There are 6 cases
in a box and 24 boxes in a container.
If each container of books costs $2592, what
is the cost of one book?
a
$1.50
b
$9.00
c
$18.00
d
$36.00
4
d
6 cm
12 cm
Student Booklet: Mathematics
Section 1: Mathematics
Grade 6, Spring 2013
6 If n × 3 = 24 and n + 40 − s = 36, what is
the value of s?
a
8
b
10
c
12
d
14
7 The diagram below shows a shoebox without
a lid.
29.5 cm
es
o
Sh
9.5 cm
18.0 cm
A student covers the outside of the shoebox
with construction paper.
If the student does not cover the lid, what is
the surface area that is covered?
a
982.25 cm2
b
1433.50 cm2
c
1964.50 cm2
d
5044.50 cm2
Student Booklet: Mathematics
5
Section 1: Mathematics
Grade 6, Spring 2013
8 A store has 11.2 kg of potatoes. Maria buys 572 g of potatoes from the store and Colin buys
1.42 kg of potatoes from the store.
After these two purchases, how many grams of potatoes does the store have left?
Show your work.
The store has __________ grams of potatoes left.
6
Student Booklet: Mathematics
Section 1: Mathematics
Grade 6, Spring 2013
9 Rotate the hexagon below 90° counter-clockwise about Point X. Draw this image of the hexagon.
y
15
14
13
12
11
10
9
X
8
7
A
6
F
5
B
4
D
3
2
E
C
1
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
x
Record the coordinates of the image of Point C.
Image of Point C: (
Student Booklet: Mathematics
,
)
7
Section 1: Mathematics
Grade 6, Spring 2013
10 Consider the two spinners below. Spinner A is divided into 10 equal sections, and Spinner B is
divided into 5 equal sections.
Spinner A
red
Spinner B
yellow
red
yellow
green
blue
red
red
red
green
pink
blue
pink
red
yellow
Which colours have the same probability of being spun on Spinner A as they do on Spinner B?
Justify your answers.
8
Student Booklet: Mathematics
Grade 6, Spring 2013
Section 1: Mathematics
11 A Grade 6 class is having a fundraiser.
The class buys 3 bags of apples. Each bag has 24 apples. The total cost of the 3 bags of apples
is $12.24.
The class sells the apples for $0.75 each.
How much money will the class gain per apple?
Show your work.
The class gains _________ per apple.
Student Booklet: Mathematics
9
Section 1: Mathematics
12 Which of the following fractions has the
smallest value?
Grade 6, Spring 2013
15 Consider the repeating pattern below.
a
4
5
b
4
4
c
4
3
b
d
4
2
c
If the pattern continues in the same way, what
will the 54th term be?
a
d
13 There are 2 blue, 5 green, 6 red and 7 purple
marbles in a bag. Erin picks one marble from
the bag without looking.
What is the probability that she will pick a
marble that is purple?
a
7%
b
20%
c
35%
d
54%
14 Wasim’s hair grows 0.4 cm each week.
At this rate, which is closest to the increase
in length of Wasim’s hair over 3 months if
it is not cut?
a
1 cm
b
5 cm
c
8 cm
d
12 cm
10
16 Which set of data has a mean that is equal to
its median?
a
4, 5, 5, 7, 9
b
4, 5, 6, 7, 8
c
4, 4, 6, 7, 7, 7, 7
d
5, 5, 5, 5, 6, 8, 8
17 What unit of measure is the most appropriate
to estimate the thickness of a dime?
a
cm
b
dam
c
m
d
mm
Student Booklet: Mathematics
Grade 6, Spring 2013
Section 1: Mathematics
18 What type of angle is shown below?
a
acute
b
right
c
obtuse
d
straight
Student Booklet: Mathematics
11
Mathematics
Section 2
Section 2: Mathematics
Grade 6, Spring 2013
Beginning in 2013, EQAO will make approximately half, rather than all, of its test items (questions)
public after each assessment. This process allows EQAO to build up a bank of items that can be used
in future years.
The best practice for supporting students is to review their achievement of the knowledge or skills being
assessed, rather than focus on the specific test items. To facilitate that process, items that are not being
published have been described in this booklet, including a reference to the knowledge or skill they
assessed. Test booklets and examples of student answers from the past five years also remain available
at www.eqao.com.
1 compare whole numbers to 100 000
10 describe transformations on a grid
2 estimate quantities using percentage
11 sort polygons by number of lines of symmetry
(Application)
benchmarks
(Thinking)
3 determine relationship between fraction
and percent
(Knowledge and Understanding)
4 compare and order decimal numbers
(Application)
5 demonstrate an understanding of precise
measurements
(Knowledge and Understanding)
6 conversion of metric units to solve a problem
(Application)
7 calculate area of a triangle
(Application)
8 calculate volume of a rectangular prism
(Thinking)
9 classify polygon by geometric properties
(Thinking)
(Application)
12 identify and extend a geometric pattern
(Knowledge and Understanding)
13 represent a pattern in a table of values
(Application)
14 identify a pattern rule
(Knowledge and Understanding)
15 extend patterns to solve a problem
(Thinking)
16 interpret data on a graph
(Application)
17 determine the theoretical probability of
an outcome in a probability experiment
(Application)
18 demonstrate an understanding of mean
(Thinking)
(Thinking)
Student Booklet: Mathematics
13
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