G R A D E 6 A S S E S S M E N T O F R E A D I N G , W R I T I N G A N D M A T H E M A T I C S , 2 0 0 4 –2 0 0 5

Student Booklet
MATHEMATICS
Please note: The format
of these booklets is
slightly different from that
used for the assessment.
The items themselves
remain the same.
.
 Section

1
Student Booklet: Mathematics Section 1 3
1. The triangle PQR has been transformed 2. Lan Ying and Sean love bike riding. They
to the position XYZ. take off from the same place, at the same
time, going in the same direction.
Lan Ying rides at a steady speed of
6 km/h, and Sean rides at a steady speed
Q of 4 km/h.
R How far apart will they be in 3 hours?
P X Z

Y
a 6 km
b 12 km
c 18 km
d 30 km

What is a correct description of the

3. Which set of values is represented by the
transformation?
4 points on the number line?
a translation to the right by 2 units
and down by 2 units
1 1.2
b translation to the right by 4 units
a 1.05, 1.1, 1.5, 1.9
and reflection about the horizontal
axis b 1.01, 1.10, 1.13, 1.17

c reflection about the horizontal axis c 1.1, 1.11, 1.15, 1.19

followed by reflection about the d 1.01, 1.10, 1.12, 1.5,
vertical axis
d translation to the right by 2 units 4. Which pattern has this rule: decrease by
and reflection about the horizontal subtracting the same amount from each
axis term?
a 20, 10, 5, 2.5, 1.25
b 20, 18, 16, 14, 12
c 20, 25, 30, 40, 45
d 20, 40, 80, 160, 320

4 Section 1 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

5. A circle is divided into sections of equal 7. Which triangle must have at least one
size. 60° angle?
a

Green Red 8 8

Red Red
5

Yellow Green
b
6
Blue Red
10

8
What is the probability that the spinner
will stop on red?
a 1 out of 4 c
*
6 6
b 3 out of 8
c 3 out of 4 6

d 1 out of 2
d none of the above

6. Write 207.083 in expanded form.

a 200 + 7 + 0.08 + 0.003
b 20 + 7 + 0.8 + 0.3
c 200 + 7 + 0.08 + 0.03
d 200 + 7 + 0.8 + 0.003

Student Booklet: Mathematics Section 1 5

8. The seating plan diagram shows how
the chairs need to be arranged for the
school concert. The pattern continues
to Row 15.
6
5
4 16 17 18 19 20 21 22 23 24
Rows

3 9 10 11 12 13 14 15

2 4 5 6 7 8

1 1 2 3

Which rule below can be used to find

the number of seats in each row?
a There is an odd number of seats
in each row.
b Each row has more seats.
c Each row has 2 more seats than
the row before it.
d There are 24 seats.

6 Section 1 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

9. Sarah types 115 words in 5 minutes. Mary types 174 words in 8 minutes.
✷ Who types faster?

Show your work.

____________ types faster.

Student Booklet: Mathematics Section 1 7

10. Jessica wants to pour 5 kg of sugar into smaller bags.
✷ If each bag holds 250 grams, how many bags does she need?

Show your work.

Jessica needs ______ bags.

8 Section 1 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

11. Jaspreet is wondering why she made the honour roll but her friend Cynthia did not. She
knows that an overall percentage of 80 or higher makes the honour roll. She is not sure if
the school uses the mean, median or mode to calculate the percentage.
Jaspreet’s Marks
70 73 73 83 78 93 87 85 80
Cynthia’s Marks
87 75 76 84 78 94 70 84 79
✷ Determine whether the school uses the mean, median or mode to calculate the
overall percentage.

Show your work.

The school uses ________________ to calculate the overall percentage.

Student Booklet: Mathematics Section 1 9

 12. Follow the instructions below to create a polygon. You will need a protractor and a ruler.
Start with the line BC below.
1) At Point B, use a protractor to create an angle of 30° with sides measuring 5 cm each.
2) Label it ∠ABC.
3) At Point C, create an angle of 150° and label it ∠BCD.
4) Connect Point D to Point A with a 5 cm line to complete the polygon.

B C

What is the name of this type of polygon? _________________

10 Section 1 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

13. Sharon works at the local gym. She must buy number stickers to label the lockers in the
change rooms. Stickers are sold as individual digits. There are 79 lockers, which will be
labelled 1 to 79.

✷ How many stickers of each digit should she buy?

To label locker 19,
Sharon buys two
Show your work. stickers:
1 and 9 .

Student Booklet: Mathematics Section 1 11

 14. Look at the figures and table of values 15. Look at the figures.
below.

Figure 1 Figure 2 Figure 3 8 cm

4 cm 4 cm

10 cm 5 cm 10 cm

Figure I Figure II Figure III

Which 2 figures have the same area?

a Figure I and Figure II
b Figure I and Figure III

Figure 1 2 3 4 … 8 9
c Figure II and Figure III
d none of the above
Squares 3 6 9 12 … 24 27

Perimeter 8 14 20 26 … ? ?

Which set of numbers represent the

perimeter of the 8th and 9th figures?
a 44, 50
b 48, 54
c 50, 56
d 68, 76

12 Section 1 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

16. A rectangle is drawn on the first 17. Nine towns, A to I, are spread out in a
quadrant of a Cartesian grid as shown. hilly region of the province. Their
The coordinates of Point B are given in snowfall data for the past year are shown
the diagram below. in a scatter plot.
What is the median annual snowfall for
this group of towns?
6
y
5
150
4
140
3 130
120
2 110

Annual Snowfall (cm)

1 B (2, 1) 100
90
80
0 1 2 3 4 5 6 7 8
70
If the rectangle is translated 4 units to 60
50
the right and 3 units up, the new
40
coordinates of Point B will be 30
20
a (3, 4)
10
b (4, 3) x
A B C D E F G H I
c (5, 5)
Towns
d (6, 4)

a 80 cm
b 85 cm
c 90 cm
d 100 cm

Student Booklet: Mathematics Section 1 13

 18. One of the numbers below meets the 21. A school requires students to participate
following conditions: in a team sport and play a musical
• It is a composite number. instrument.
• It is between 22 and 32.
You are offered basketball and soccer as
• It has more than 4 factors.
the team sports, and keyboard, drums
• It results in a prime number when
and clarinet as the musical instruments.
its digits are added.
Which diagram below shows all the
Which number is it?
possible choices for you?
a 23
a
b 25
Soccer Basketball
c 28
d 30
Keyboard Drums Clarinet Keyboard Drums

19. If ■ = 4, what is the value of *

21 – (4 × ■)? b
Soccer Basketball
a 5
b 13 Keyboard Drums Clarinet Keyboard Drums Clarinet

c 16
d 68 c
Soccer Basketball
20. Nicholas works on his math project for
1 3
2 2 hours on Monday, 1 4 hours on
Keyboard Drums Drums Clarinet
Wednesday and 3 hours on Thursday.
What is the total time he works on his
math project, expressed in minutes? d
a 235 minutes
Soccer Hockey Basketball
b 360 minutes
c 361 minutes
Keyboard Drums Drums Clarinet Keyboard Clarinet
d 435 minutes
STOP

14 Section 1 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

 Section

2
Student Booklet: Mathematics Section 2 15
 22. Kevin’s batting average this baseball a 100
season is 0.346. Last season his batting

Number of Students
80
average was 0.297. How much higher
60
is Kevin’s batting average this season?
40
a 0.049
20
b 0.051
0
Vanilla Strawberry Chocolate Bubble
c 0.059 Chocolate Butterscotch Chip Gum
Ice Cream Flavours
d 0.643
100
b

Number of Students
80
23. The pictograph below shows the number
60
of students who chose different ice cream
flavours as their favourite. 40

20
Favourite Ice Cream Flavours
0
Vanilla Strawberry Chocolate Bubble
Vanilla Chocolate Butterscotch Chip Gum
Chocolate Ice Cream Flavours

Strawberry c 100
Number of Students

Butterscotch 80

Chocolate Chip 60

Bubble Gum
40

20
represents 12 students
0
Vanilla Strawberry Chocolate Bubble
Which bar graph on the right best Chocolate Butterscotch Chip Gum
represents this data? Ice Cream Flavours

d 100
Number of Students

80

60

40

20

0
Vanilla Strawberry Chocolate Bubble
Chocolate Butterscotch Chip Gum
Ice Cream Flavours

16 Section 2 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

24. Which of the following is true of all 25. A watermelon has a mass of 2.4 kg.
three squares below? What is the mass expressed in g or mg?
a 240 g or 240 000 mg
b 2400 g or 2 400 000 mg
c 2 400 000 g or 2400 mg
d 0.0024 g or 0.000 002 4 mg

26. The closest estimate of the angle

shown is

a Subtract 8 from the top left number

to get the bottom right number.
b Add 8 to the top left number to get a 70° to 80°.
the bottom right number. b 85° to 95°.
c Add 7 to the top left number to get c 110° to 120°.
the bottom right number.
d 140° to 150°.
d Subtract 7 from the top left number
to get the bottom right number.

Student Booklet: Mathematics Section 2 17

 27. Simaya’s Grade 6 class has 25 students. 29. A number cube is tossed and a coin is
The teacher tells her that this is 4% of flipped.
the entire school’s student population. Using the tree diagram, determine which
How many students are in her school? of the following events is most likely to
a 100 occur.
Heads
b 150 1
Tails
c 600 2
Heads
Tails
d 625 Heads
3
Tails
Heads
28. Which of the following descriptions is 4
Tails
correct? Heads
5
Tails
7
Heads
6
6 Tails

5
a Tails appears on the coin.
4
b Heads appears on the coin, and
3
a 4 appears on the number cube.
2
c A 3 appears on the number cube.
1
d Heads appears on the coin, and
0 1 2 3 4 5 6 7 8 9
a 3 appears on the number cube.

a The point (6, 2) is outside the circle

and outside the parallelogram.
b The point (6, 2) is inside the circle
and outside the parallelogram.
c The point (6, 2) is outside the circle
and inside the parallelogram.
d The point (6, 2) is inside the circle
and inside the parallelogram.

18 Section 2 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

30. A department store’s sales for one week are listed below.

Clothing $3240.00

Cosmetics $900.00

Hardware $2521.00

Appliances $583.00

Other $1011.00

✷ Estimate the total sales for the week.

Explain your estimation strategy.

My estimate is __________.

Student Booklet: Mathematics Section 2 19

 3
31. Connor states that, for both diagrams, the shaded parts represent of the whole figure.
8

✷ Is Connor correct?

Justify your answer.

20 Section 2 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

32. Lindsay is cutting triangles to use in making some paper crafts. She notices that some of
the triangles are exactly the same.
A 6
G H
60° 30°
N

60°
30°
B 6 C
J 20°
K L
50° 6

7
D 30° E 7 70°
P S

40°

F
M

✷ Find the congruent triangles.

Justify your answer.

Student Booklet: Mathematics Section 2 21

 33. A. J. notices a pattern in the vertical posts and horizontal boards in his fence. He counts
the number of vertical posts, then subtracts one and multiplies by two to find the number
of horizontal boards.
✷ Fill in the table below to show the number of horizontal boards.

Number of
Number of Horizontal Boards
Vertical Posts
2

22 Section 2 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

34. Gary and Chris record the number of cars that pass their houses over 5 days.
The results are shown below.

Number of Cars Passing Gary’s and Chris’ Houses

20

18

16

14
Number of Cars

12

10

8 Gary
6 Chris
4

1 2 3 4 5
Day

Gary says that each day the number of cars that pass his house is at least two times the
number of cars that pass Chris’ house.
Is Gary correct?

Explain your answer.

Student Booklet: Mathematics Section 2 23

 35. The triangle shown in the grid is rotated 36. Andrew has $20 in nickels. He gives
about point 0 by 90° in a clockwise $3.75 to his sister and $1.15 to his
direction. grandma and he spends $0.65.
What is its new position? How many nickels does he have left?
a 237

Starting b 289
Position
0
c 14.45
d 0.7225

a 37. 1 22 333
+ + =?
1 22 333
a 1
0
b 3
c 6
d 356
b *
38. Smita types 5400 words per hour.
0
How many words does she type per
minute?

c a 1.5 words per minute

b 90 words per minute

0
c 60 words per minute
d 5400 words per minute

24 Section 2 Grade 6 Assessment of Reading, Writing and Mathematics, 2004–2005

39. Which number best completes the 41. What is the least common multiple for 6
pattern below? and 10?
2, 5, 11, 23, 47, 95, ____ a 20
a 142 b 30
b 190 c 40
c 191 d 60
d 192
42. Alonzo’s dad builds him a sandbox that
40. Mark does a survey on favourite measures 2.5 m long, 2 m wide and
vegetables in his class. The graph 0.5 m deep.
represents the response data. 0.5 m
Student Votes for Favourite Vegetables

Celery
2.5 m

2m
Carrots
Corn

How much sand does Alonzo need to fill

Potatoes his sandbox to the top?
a 5 m3
Peas
Broccoli b 9 m3

Which vegetable was chosen by about c 2.5 m3

25% of the class? d 5.5 m3
a corn
b peas
c carrots
d potatoes
STOP

Student Booklet: Mathematics Section 2 25