Download practice final exam 2

Edmonton Catholic Schools
Grade 8 Mathematics
MATH 8
FINAL EXAM
June 2011
Page 1 of 19
June 2011
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011

This exam consists of 40 multiple choice questions and
10 numerical response questions.

This exam is intended to take 75 minutes, however you are allowed an
extra 30 minutes to complete the exam.

You may write anywhere in the exam booklet. No scrap paper is needed.

A scientific calculator is allowed for use on this exam. Any manipulatives
that were used in class may be used on the exam.
Multiple Choice Sample Question
This exam is for the subject of
A. Language Arts
B. Mathematics
C. Science
D. Social Studies
Since the correct answer is Mathematics you would bubble in the spot marked “B”
on your answer sheet.
Numerical Response Instructions
Enter digits in boxes from left to right, and bubble the number in below.
eg) If you determine an exact answer of 32,
then you would:
Page 2 of 19
eg) If you determine an
answer of 0.7, to the
nearest tenth, then you
would:
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
Part A Multiple Choice - 40 questions
Instructions


1.
Read each question carefully.
Record your answer on the sheet provided by filling in the corresponding circle.
A music store at the mall made a square display using 64 CDs.
The dimensions of the square are
A.
B.
C.
D.
2.
32 CDs
16 CDs
12 CDs
8 CDs
 32 CDs
 16 CDs
 12 CDs
 8 CDs
The number 54 is between which two consecutive perfect square numbers?
A. 53 and 55
3.
B. 28 and 32
C. 49 and 64
D. 12 and 16
The diagrams below show two flag poles that are both 5.2 m tall. The distance
from the top of the left pole to the base of the right pole is 11.4 m, as shown.
11.4 m
5.2 m
The distance between the bases of the two flag poles is approximately
A. 6 m
B. 10 m
C. 13 m
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D. 100 m
Edmonton Catholic Schools
4.
B. 4
D. 121
B. three
C. two
D. one
An airline ticket has a base price of $363.99 Sales taxes of 10% PST and 5% GST
are then added on, both applied to the ticket price alone. The total cost of the
airline ticket is
A. $418.59
7.
C. 100
The area of four squares are: 110 cm2, 121 cm2, 156 cm2, and 169 cm2. How
many of these areas are perfect squares?
A. four
6
June 2011
Which one of the numbers 2, 4, 100, or 121 is not a perfect square?
A. 2
5.
Grade 8 Mathematics
B. $417.68
C. $363.99
D. $309.39
Bobby took 220 shots on goal during last year’s hockey season. He scored goals
on 20% of his shots and 25% of those goals were game winning goals.
The number of Bobby’s goals that were game winning goals is
A.
8.
99 goals
55 goals
C.
44 goals
D.
11 goals
A Nintendo game system that originally retailed for $139.99 is on sale for $108.99.
The discount, as a percent of the original price, rounded to the nearest tenth, is
A. 22.1%
9.
B.
B. 28.4%
C. 31.0%
D. 32.5%
A parking attendant at a mall counted 540 cars, 360 mini-vans, and 240 trucks.
The ratio of cars to mini-vans to trucks, in simplest form, is
A.
9:6:4
B. 18 : 12 : 8
C. 27 : 18 : 12
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D. 54 : 36 : 24
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
10. A manufacturer checks150 batteries produced and finds that 5 of them are
defective. Using this ratio, we can expect the number of defective batteries in a
sample of 225 batteries to be approximately
A.
8
B.
15
C.
30
D.
45
11. A school has a field trip policy requiring a minimum of 2 adults for every 25
students on the trip. What is the minimum number of adults required for a field trip
with 55 students?
A. 26 adults
B. 5 adults
C. 4 adults
D. 2 adults
12. A bag contains 4 red marbles, 6 blue marbles, and 3 yellow marbles. What is the
ratio of blue marbles to non-blue marbles?
A. 7:6
B. 6:13
C. 6:7
D. 13:6
1
L of pop one evening.
2
If these four people shared the pop equally, then the amount of pop each person
received is
13. Mark and three of his friends shared 4
A.
1
L
2
14. Evaluate
A.
4
21
B.
1L
C.
1
1
L
8
D.
2 3 1 1
  
3 4 2 6
B.
13
24
C.
Page 5 of 19
4
5
D.
7
8
1
1
L
4
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
15. Which multiplication statement is illustrated by the rectangular model below?
3
4
1
2
1
A. 1
3
1
2
4
2
B. 1
1
1
1
2
8
C. 2
3
1
1
4
2
D. 2
3
1
1
4
8
16. A survey was conducted on one morning to find the number of men, women and
1
children who shopped at Sears . It was found that
of the shoppers were men,
4
1
were women, and the rest were children. There were 420 people who shopped
3
at Sears that morning. The number of children who shopped at Sears was
A.
175
B.
140
C.
120
D.
105
17. Using only the integers 7, 6, +4, +5, and +8, which multiplication statement
below has the smallest product?
A. (6)  (7)
B. (+8)  (7)
C. (+4)  (6)
D. (+4)  (+5)
18. Josiah signed up for a cell phone plan with a company that makes a direct
withdrawal of $35 every month from his savings account at the bank. After one full
year, the effect of the withdrawals on Josiah’s bank account balance is best shown
by the integer expression
A. ( 35)  ( 12)
B. ( 35)  (12)
C. ( 35)  (12) D. ( 35)  ( 12)
Page 6 of 19
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
19. Which of these integer quotients are negative?
i)
ii)
iii)
iv)
(+12)  (+3)
(+45)  (9)
(32)  (+8)
(18)  (2)
A. i and iv only
20.
B. ii, iii, and iv
C. ii and iv only
D. ii and iii only
This white tile models 1
This black tile models +1
Jon gave Alicia five sets of ten (+1) tiles. How many, and of what colour, are the
tiles that Alicia received?
A. 15 black tiles
B. 50 black tiles
C. 15 white tiles
D. 50 white tiles
21. The graph of the linear relation y = -2x + 12 is shown below.
The relationship between the variables x and y in
this graph can be described by the statement
A.
B.
C.
D.
When x increases by 1, y decreases by 2
When x increases by 1, y decreases by 12
When x increases by 1, y increases by 2
When x increases by 2, y increases by 12
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Edmonton Catholic Schools
22.
Grade 8 Mathematics
June 2011
Which table of values is correct for the relation y = 1  4x, when x = 1, 2, 3, and 4.
A.
x
y
1
4
2
5
3
6
4
7
B.
x
y
1
3
2
7
3
11
4
15
C.
x
y
1
3
2
6
3
9
4
12
D.
x
y
1
3
2
7
3
11
4
15
23. Which statement below shows correct use of the distributive property?
A. 6(5 – x) = 30 – x
B. 6(5 – x) = 11 – 6x
C. 6(5 – x) = 30 – 6x D. 6(5 – x) = 11 – x
24. Using algebra tiles, the equation 3 = 5 – 2x can be represented by which model?
Legend
A.
=
B.
=
C.
=
D.
=
Page 8 of 19
= x
=1
= -x
= -1
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
25. An algebra tile diagram is used below to model an equation.
=
Legend
The solution to the equation modeled above is:
= x
A.
x = -2
B.
x = -1
2
C.
x=
D.
x=2
=1
= -x
1
2
26. Heather paid $18 to rent a canoe for part of a day. The rental company charges a
flat fee of $6, plus a charge, h, of $2 per hour. The equation that could be solved for the
number of hours that Heather used the canoe is
A.
1
h  6 = 18
2
B.
1
h + 6 = 18
2
C. 2h  6 = 18
Page 9 of 19
D. 2h + 6 = 18
= -1
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
27. A disc jockey hired for a dance charges a flat fee of $120.00 plus a rate of $80.00
per hour. The graph below represents the disc jockey’s earnings, E, over time in
hours, h. The equation that correctly expresses this relation is
A.
E = 80h
B.
E = 120h
C.
E = 80 + 120h
DJ's Earnings
500
400
300
$
D.
200
E = 120 + 80h
100
0
0
1
2
3
4
5
time (h)
c
28. The only formula below that can be used to calculate the
length of the hypotenuse of the right-angled triangle shown is
A.
A = ab
B.
ab
A=
2
C.
c2 = a 2 + b 2
D.
c2 = a2 – b2
Page 10 of 19
a
b
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
29. You are skateboarding in a parking lot. From a starting point, you skate 30 m west
and then 17 m directly south, as shown.
30 m
Start
17 m
N
W
E
S
The shortest distance back to your starting point, to the nearest metre, is
A.
47 m
B.
34 m
C.
25 m
D.
13 m
30. Which diagram is a net of a square prism?
Net B
Net A
A. Net A
B. Net B
Net D
Net C
C. Net C
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D. Net D
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
31. A cylinder has a radius of 11 mm and a height of 30 mm. What is the exact
surface area of the cylinder? (Leave  in your answer).
A. 572  mm2
B. 682  mm2
C. 704  mm2
D. 902  mm2
32. The skateboard wheel shown is in the shape of a cylinder.
  3.14
3 cm
5 cm
The volume of the wheel, rounded to the nearest tenth, is
A.
141.3 cm3
B.
47.1 cm3
C.
35.3 cm3
D.
7.1 cm3
33. The net of the skateboard wheel above is shown in which one of these diagrams?
A.
B.
C.
D.
Page 12 of 19
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
34. An object is made using three linking cubes. The given diagrams show the front
view and top view of the object.
Top View
Front View
Which one of the diagrams below shows the right side view of the object?
A.
35.
B.
C.
D.
Shown below are four different views of an object built using linking cubes.
Left Side View
Top View
Front View
Right Side View
A three-dimensional picture of the object is shown in which diagram below?
A.
36.
B.
C.
D.
What shapes in this diagram can be obtained by a single reflection of Shape X?
X
R
P
Q
T
V
S
A. R and S
W
B. P and W
C. R, S, and W
Page 13 of 19
D. R, V, and T
Edmonton Catholic Schools
37.
Grade 8 Mathematics
June 2011
In one diagram below, triangle B is the image of triangle A after a reflection in a
vertical line that passes through the point (6,0). Which diagram shows the
correct reflection of triangle A to triangle B?
A.
B.
12
10
line of
reflection
A
8
6
Vertical axis
Vertical axis
12
10
line of
reflection
A
8
6
4
4
2
2
B
B
0
2
4
6
8 10
Horizontal axis
0
12
2
4
6
8 10
Horizontal axis
line of reflection
C.
12
10
A
B
Vertical axis
Vertical axis
line of reflection
D.
12
8
6
4
10
A
8
6
4
2
0
12
B
2
2
4
6
8 10
Horizontal axis
12
0
2
4
6
8 10
Horizontal axis
12
38. Dr. Shaban measured the height of his daughter every year from her birth to the
age of 14. In order to see the trend of growth in her height, which type of graph
would be most appropriate to display the data?
A. Pictograph
B. Circle Graph
C. Bar Graph
Page 14 of 19
D. Line Graph
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
1
1
3
of the candies are red, are yellow,
5
3
10
are white, and the rest are black. A student takes 20 candies from the box at
random. The color that should be drawn with the highest frequency is
39. In a box containing 90 hard candies,
A.
red
B.
yellow
C.
white
D.
black
40. These two circle graphs show the most popular physical activities for grade eight
and grade nine students at St. Luke School, as percentages. St. Luke School has
80 students in grade eight and 90 students in grade nine.
Favorite Physical Activities
Grade Nine
Grade Eight
volleyball
(20%)
swimming
(33%)
volleyball
(40%)
running
(10%)
walking
(12%)
swimming
(20%)
soccer
(25%)
soccer
(25%)
running
(5%)
walking
(10%)
Which one statement below is true?
A.
Equal numbers of students in grade eight and grade nine prefer soccer.
B.
More grade nine students prefer swimming than do grade eight students.
C.
Running is the least popular activity in both grades.
D.
The number of students who prefer volleyball is the same for both grades.
You have completed Part A of the exam. Proceed to Part B on the
next page.
Page 15 of 19
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
Part B Numerical Response - 10 questions
Instructions

Consider all numbers used in the
questions to be exact real
numbers.

Read each question carefully.

Record your answer in the
numerical response box provided.
NR1. What is the side length of a square with an area of 25 cm2?
2
NR2. I am a square number. The sum of my digits is 13. Which of these
numbers might I be: 94, 81, 58, or 49 ?
NR3. The part-to-whole ratio 7:16, when expressed as a percentage, to
the nearest tenth, is ____%.
Page 16 of 19
3
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
4
NR4. At a store, 250 mL of water costs $0.79. At the same rate, what should the
cost of 2 L of water be? (Note: 1000 mL = 1L)
NR5. The ordered pair (x, 5) will satisfy the linear relation with equation y = 3x  4
when the value of x is _____.
NR6. If the equation: 12  4k = 16 is solved correctly, then k will equal ______.
Page 17 of 19
6
5
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
NR7. Keesha will join points B( 3,2) and C(-4,-5) to make a line segment. How many
units long, to the nearest unit, is the line segment BC?
NR8. Find the volume of the triangular prism shown, in cm3.
7
8
4 cm
9 cm
6 cm
9
NR9. A casino has a large cubic die as one of its displays, as shown.
Calculate the surface area of the die, to the nearest tenth
of a square metre.
1.5 m
1.5 m
1.5 m
Page 18 of 19
Edmonton Catholic Schools
Grade 8 Mathematics
June 2011
N10. A clothing manufacturer offers 2 different styles of jeans: relaxed fit and regular
fit. Both styles are available in 5 different colours. How many different jeans are
possible to order from this manufacturer?
10
You have now finished the exam. If you have time, you may wish to check
your work before handing it in. Make sure you have bubbled in your
answers correctly.
Page 19 of 19