Sample Assessment Booklet: New Layout
Junior Division
6
Grade
Mathematics
Assessment of Reading, Writing and Mathematics
INSTRUCTIONS
Answering Multiple-Choice Questions
Like this:
Not like this:
• Use a pencil only.
• Fill only one circle for each question.
• Fill the circle completely.
• Cleanly erase any answer you wish to change.
Answering Open-Response Questions
• Write on the space provided in this booklet.
You are now ready to start.
Section 1
Mathematics • Multiple-Choice
1 Points P and Q are two vertices of a rectangle.
y
page 2
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?
G
ym
0
La
● (4, 8) and (9, 8)
Subjects
● (8, 4) and (8, 9)
● (1, 3) and (1, 8)
● (3, 1) and (8, 1)
t
4
Ar
3
e
2
nc
1
ie
0
12
Sc
1
ge
2
18
ua
3
24
ng
Q
h
P
4
at
5
30
M
6
Number of students
7
According to the graph, how many more
students chose math as their favourite subject
than chose gym?
● 7
● 12
● 21
● 33
1
Section Mathematics • Multiple-Choice
3 Consider the growing pattern shown on the
grid below.
page 3
5 A parallelogram is shown below.
T
6 cm
11
5 cm
10
9
12 cm
8
Term
7
Which rectangle has the same area as this
parallelogram?
6
5
●
4
3
5 cm
2
1
0
1
2
3
4
5
n
Term number
6 cm
●
The pattern continues in the same way.
What ordered pair represents the next point
to be plotted in this pattern?
● (4, 9)
4 cm
12 cm
●
● (10, 4)
5 cm
● (9, 4)
● (4, 10)
4 There are 12 books in a case. There are 6 cases
12 cm
●
in a box and 24 boxes in a container.
If each container of books costs $2592, what
is the cost of one book?
● $1.50
● $9.00
● $18.00
● $36.00
6 cm
12 cm
Section 1
Mathematics • Multiple-Choice
6 If n × 3 = 24 and n + 40 − s = 36, what is
the value of s?
● 8
● 10
● 12
● 14
7 The diagram below shows a shoebox without
a lid.
29.5 cm
s
e
ho
S
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?
● 982.25 cm2
● 1433.50 cm2
● 1964.50 cm2
● 5044.50 cm2
page 4
Section 1
Mathematics • Open-Response
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.
page 5
Section 1
Mathematics • Open-Response
page 6
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
Record the coordinates of the image of Point C.
Image of Point C: (
,
)
9
10
11
12
13
14
15
x
Section 1
Mathematics • Open-Response
page 7
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.
Section 1
Mathematics • Open-Response
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.
page 8
Section 1
Mathematics • Multiple-Choice
12 Which of the following fractions has the
smallest value?
page 9
15 Consider the repeating pattern below.
4
● 5
●
●
●
4
4
4
3
4
2
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?
If the pattern continues in the same way, what
will the 54th term be?
●
●
●
●
16 Which set of data has a mean that is equal to
its median?
● 4, 5, 5, 7, 9
● 7%
● 4, 5, 6, 7, 8
● 20%
● 4, 4, 6, 7, 7, 7, 7
● 35%
● 5, 5, 5, 5, 6, 8, 8
● 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?
● 1 cm
● 5 cm
● 8 cm
● 12 cm
Section X
1
Mathematics • Multiple-Choice
page 10
17 What unit of measure is the most appropriate
to estimate the thickness of a dime?
● cm
● dam
● m
● mm
18 What type of angle is shown below?
● acute
● right
● obtuse
● straight
STOP
You have finished this section.
page 11
Section 2
Section 2
Mathematics • Multiple-Choice
1 A pattern is shown below.
1, 2, 4, 8, …
Which rule best describes the pattern?
Start with 1 and
page 12
4 A list of numbers is shown below.
11, 5, 11, 9, 4
What is the mean of these numbers?
● 7
● add 1 to get the next term.
● 8
● add 2 to get the next term.
● 9
● divide by 2 to get the next term.
● 11
● multiply by 2 to get the next term.
5 Which two equations are true if n = 2?
2 The parallelogram below will be cut into
two congruent triangles.
6 cm
5 cm
14 cm
What is the area of one of the triangles?
● 35 cm2
● 42 cm2
● 70 cm2
● 84 cm2
3 A store sells 12 oranges for $3.96.
How much does one orange cost?
● $3.84
● $3.03
● $0.39
● $0.33
Equation 1: 4 + n + 3 = 5
Equation 2: 4 − n + 3 = 5
Equation 3: 4 × n + 3 = 5
Equation 4: 4 ÷ n + 3 = 5
● Equation 2 and Equation 4
● Equation 2 and Equation 3
● Equation 1 and Equation 4
● Equation 1 and Equation 2
Section 2
Mathematics • Multiple-Choice
6 Dylan rotates the triangle below 90°
●
counter-clockwise about Point Q.
0
Q
2 4 6 8 10
y
10
8
6
4
2
●
2 4 6 8 10
x
y
10
8
6
4
2
0
2 4 6 8 10
Q
2 4 6 8 10
x
x
x
y
●
10
8
6
4
2
0
Q
0
Q
0
Which of the following triangles shows the
result of this transformation?
●
y
10
8
6
4
2
y
10
8
6
4
2
page 13
Q
2 4 6 8 10
x
Section 2
Mathematics • Multiple-Choice
7 Which of the following shows a rectangle and
a triangle that have the same area?
●
8 cm
8 cm
5 cm
10 cm
●
8 cm
4 cm
6 cm
12 cm
●
8 cm
4 cm
10 cm
●
10 cm
4 cm
4 cm
6 cm
12 cm
page 14
Section 2
Mathematics • Open-Response
page 15
8 Two patterns are shown below.
Pattern A
Term
y
Pattern B
Start with 7 and add 2 to get the next term.
24
22
20
18
16
14
12
10
8
6
4
2
0
1 2 3 4 5 6 7 8 9
x
Term number
If both patterns continue in the same way, which pattern will reach a term with a value of
23 first?
Justify your answer.
Pattern ______ will reach a term with a value of 23 first.
Section 2
Mathematics • Open-Response
9 A Canadian television station shows 16 minutes of commercials every hour between 8:00 a.m.
and 11:00 p.m. every day.
How many minutes of commercials are there on the station between 8:00 a.m. and 11:00 p.m.
in 365 days?
Show your work.
There are __________ minutes of commercials on the station between 8:00 a.m. and 11:00 p.m.
in 365 days.
page 16
Section 2
Mathematics • Open-Response
page 17
10 Toby has a bag of 40 coloured blocks. Without looking, he reaches in and pulls one block out.
Complete the table below to determine the probability of choosing a red, green, purple or
yellow block.
Colour
Number in bag
Red
6
Green
10
Probability of choosing a block of this colour
Purple
Yellow
Show your work.
0.2
Section 2
Mathematics • Open-Response
page 18
11 The grid below shows a triangle that has been moved using transformations from position A
to position B, then from position B to position C and finally from position C to position D.
C
D
B
A
Complete the chart below with descriptions of the transformations needed to move the triangle.
Be sure to include all units and directions in the chart. Show points of rotation and lines of
reflection on the grid.
Transformation
A to B
B to C
C to D
Type of transformation
Description of transformation
Section 2
Mathematics • Multiple-Choice
12 The pattern shown below is made of triangles.
page 19
15 A spinner is shown below.
2
Term 1
Term 2
Term 3
The pattern continues.
1
2
3
3
3
Which of the following represents the
number of triangles in Terms 4, 5 and 6?
●
● 8, 10, 12
7
On which of the following number lines does
the point represent the probability of spinning
an even number?
● 2, 4, 6
● 6, 8, 10
3
0
1
0
1
0
1
0
1
● 10, 12, 14
●
13 What is the value of 0.730 − 0.156?
● 0.083
●
● 0.426
● 0.574
●
● 0.626
14 The quadrilaterals shown below are ordered
from smallest to largest based on a geometric
property.
parallelogram
trapezoid
rectangle
square
Which geometric property was used?
● number of acute angles
● number of lines of symmetry
● number of pairs of equal sides
● number of pairs of parallel sides
Section 2
Mathematics • Multiple-Choice
16 A fire truck has a ladder measuring 3 units
in length.
Which unit would be most appropriate to
measure the ladder?
page 20
18 Mrs. Garrett sends surveys to 120 students,
and 78 students return the survey.
Which statement best describes the percent
of students who return the survey?
● kilometre
● exactly 50%
● decimetre
● exactly 75%
● decametre
● between 50% and 75%
● centimetre
● between 75% and 100%
17 Each beaker of water below has a capacity
of 2 L.
Which beaker appears to have about
500 mL of water in it?
●
●
●
●
STOP
You have finished this section.
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