Name: 
 

Math 9 Practice Final #4


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Write the following fractions in ascending order:   mc001-1.jpg,   mc001-2.jpg,   mc001-3.jpg,   mc001-4.jpg,   mc001-5.jpg
a.
mc001-6.jpg,   mc001-7.jpg,   mc001-8.jpg,   mc001-9.jpg,   mc001-10.jpg
c.
mc001-16.jpg,   mc001-17.jpg,   mc001-18.jpg,   mc001-19.jpg,   mc001-20.jpg
b.
mc001-11.jpg,   mc001-12.jpg,   mc001-13.jpg,   mc001-14.jpg,   mc001-15.jpg
d.
mc001-21.jpg,   mc001-22.jpg,   mc001-23.jpg,   mc001-24.jpg,   mc001-25.jpg
 

 2. 
A submarine descends at an average rate of 6.5 m/min. Express the depth below the surface after 4.4 min as a rational number.
a.
-10.9 m
c.
-28.6 m
b.
10.9 m
d.
+28.6 m
 

 3. 
Which point on the number line approximates mc003-1.jpg?
mc003-2.jpg
a.
A
c.
C
b.
B
d.
D
 

 4. 
A checkerboard has an area of 256 cm2. Each side of the board is made of 8 small squares. What is the side length of each small square on the board?
a.
4 cm
c.
32 cm
b.
2 cm
d.
64 cm
 

 5. 
What is the lowest common denominator for mc005-1.jpg, mc005-2.jpg, and mc005-3.jpg?
a.
182
c.
143
b.
2002
d.
11
 

 6. 
Calculate mc006-1.jpg.
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 
What is mc007-1.jpg?
a.
mc007-2.jpg
c.
5mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 

 8. 
A square frame is projected onto a screen using an overhead projector. The original square frame has a side length of 8.5 cm. The square frame is enlarged by a scale factor of 6.4. Determine the side length of the square frame on the screen.
a.
14.9 cm
c.
54.4 cm
b.
217.6 cm
d.
108.8 cm
 

 9. 
Determine the scale factor for this reduction.
mc009-1.jpg
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
mc009-5.jpg
 

 10. 
Lori states that her bedroom is 4.3 units long. What unit is most appropriate for this measurement?
a.
centimetre
c.
millimetres
b.
metres
d.
kilometres
 

 11. 
You and your family decide to travel to the United States. After crossing the border, you notice speed limit signs saying the maximum speed is 60 miles/hour. What is this speed in km/hour?
a.
60.0 km/h
c.
102.0 km/h
b.
37.3 km/h
d.
96.6 km/h
 

 12. 
Jennifer drove 560 km and used 25 L of gas. How many miles per imperial gallon does her car get?
a.
52.7  mi/gal
c.
63.3 mi/gal
b.
58.8 mi/gal
d.
70.6 mi/gal
 

 13. 
mc013-1.jpg is a scalene triangle with mc013-2.jpgABC equal to 57°. A similar triangle, mc013-3.jpg, is made using a scale factor of 7. What is the measure of mc013-4.jpgDEF?
a.
123°
c.
57°
b.
8°
d.
33°
 

 14. 
How would you describe the two triangles below?
mc014-1.jpg
a.
obtuse triangles
c.
similar triangles
b.
complimentary triangles
d.
equilateral triangles
 

 15. 
Write mc015-1.jpg as the product of two powers.
a.
mc015-2.jpg
c.
mc015-4.jpg
b.
mc015-3.jpg
d.
mc015-5.jpg
 

 16. 
Write mc016-1.jpgas a quotient of two powers.
a.
mc016-2.jpg
c.
mc016-4.jpg
b.
mc016-3.jpg
d.
mc016-5.jpg
 

 17. 
Write mc017-1.jpgas a quotient of two powers.
a.
mc017-2.jpg
c.
mc017-4.jpg
b.
mc017-3.jpg
d.
mc017-5.jpg
 

 18. 
Evaluate mc018-1.jpg.
a.
16
c.
4096
b.
65 536
d.
256
 

 19. 
If a colony of 1250 bacteria triples in size every 3 h, what is the size of the colony after 6 h?
a.
11 250
c.
1425
b.
1366
d.
1326
 

 20. 
If mc020-1.jpg, then what is the value of mc020-2.jpg?
a.
1.5
c.
40.5
b.
0.3333
d.
9
 

 21. 
Evaluate mc021-1.jpg.
a.
6561
c.
810
b.
1296
d.
59 049
 

 22. 
Identify the like terms in the following list of terms.
mc022-1.jpg, mc022-2.jpg, mc022-3.jpg, mc022-4.jpg, mc022-5.jpg
a.
mc022-6.jpg and mc022-7.jpg
c.
mc022-10.jpg and mc022-11.jpg
b.
mc022-8.jpg and mc022-9.jpg
d.
mc022-12.jpg and mc022-13.jpg
 

 23. 
Simplify mc023-1.jpg.
a.
mc023-2.jpg
c.
mc023-4.jpg
b.
mc023-3.jpg
d.
mc023-5.jpg
 

 24. 
Simplify (5x2 – 2x + 9) + (8x2 + 7x – 6).
a.
13x2 – 5x – 15
c.
13x2 – 5x + 15
b.
13x2 – 5x – 3
d.
13x2 + 5x + 3
 

 25. 
Multiply –3x(2x2 – 4x – 5).
a.
–6x3 + 12x2 + 15x
c.
–6x3 – 12x2 – 15x
b.
–6x2 + 12x + 15
d.
–6x3 + 12x2 – 15x
 

 26. 
Expand –5k(8 – 5k).
a.
–40k – 5k2
c.
–40k + 5k2
b.
–40k – 25k2
d.
–40k + 25k2
 

 27. 
What multiplication statement is modelled by the algebra tiles below?
mc027-1.jpg
a.
mc027-2.jpg
c.
mc027-4.jpg
b.
mc027-3.jpg
d.
mc027-5.jpg
 

 28. 
Expand the expression mc028-1.jpg using the distributive property.
a.
mc028-2.jpg
c.
mc028-4.jpg
b.
mc028-3.jpg
d.
mc028-5.jpg
 

 29. 
What linear equation is represented by the following graph?

mc029-1.jpg
a.
mc029-2.jpg
c.
mc029-4.jpg
b.
mc029-3.jpg
d.
mc029-5.jpg
 

 30. 
The cost to print stickers is $6.95 plus $0.75 per sticker. Determine an equation that relates the total cost, C, in dollars, to the number of stickers, s.
a.
mc030-1.jpg
c.
mc030-3.jpg
b.
mc030-2.jpg
d.
mc030-4.jpg
 
 
Use the figures to answer the following question(s).
nar001-1.jpg
 

 31. 
Following the pattern, which figure number will have 42 dots?
a.
37
c.
35
b.
212
d.
18
 

 32. 
How many dots are in the thirteenth figure?
a.
20
c.
64
b.
23
d.
71
 

 33. 
How many dots would the next figure contain?
a.
11
c.
27
b.
20
d.
19
 
 
Assume that this graph shows air pressure at different altitudes. Use the graph to answer the following question(s).

nar002-1.jpg
 

 34. 
If a balloonist measures the air pressure to be 75 kPa, at what approximate altitude was the measurement taken?
a.
1500 m
c.
16500 m
b.
9000 m
d.
7500 m
 
 
Use the graphs to answer the following question(s).

nar003-1.jpg nar003-2.jpg
 

 35. 
At what time has John walked 3 m further than Bill?
a.
7 s
c.
12 s
b.
5 s
d.
6 s
 

 36. 
Solve mc036-1.jpg.
a.
mc036-2.jpg
c.
mc036-4.jpg
b.
mc036-3.jpg
d.
mc036-5.jpg
 

 37. 
Solve mc037-1.jpg.
a.
k = 13.05
c.
k = 8.35
b.
k = –9.2
d.
k = 14.38
 

 38. 
Solve mc038-1.jpg.
a.
p = 2.83
c.
p = –0.27
b.
p = 3.13
d.
p = –3.61
 

 39. 
Solve mc039-1.jpg.
a.
t = –12.42
c.
t = –0.59
b.
t = 0.74
d.
t = –0.62
 

 40. 
Solve mc040-1.jpg.
a.
t = 0.02
c.
t = –0.33
b.
t = 0.85
d.
t = 300.8
 

 41. 
Solve the following: mc041-1.jpg.
a.
q = –0.327
c.
q = 0.144
b.
q = –0.314
d.
q = 0.138
 

 42. 
Solve mc042-1.jpg.
a.
x = 26
c.
x = 2.8
b.
x = –26
d.
x = –2.8
 

 43. 
The average amount of daylight per day in Calgary is 14.6 h. The average amount of daylight per day in Vancouver is 3.9 h more than half the number of hours in Calgary. What is the average amount of daylight per day in Vancouver?
a.
11.2 h
c.
3.9 h
b.
8.6 h
d.
10.7 h
 

 44. 
A stratified sample is created by
a.
choosing respondents from the population who are easy to access
c.
dividing the population into groups and then choosing the same percent of respondents from each group
b.
inviting the whole population to participate
d.
choosing respondents from the population at random
 

 45. 
A sample of high school students is created by first dividing the whole student body into age groups and then choosing the same fraction of members from each group. What type of sampling method is used here?
a.
stratified
c.
convenience
b.
random
d.
systematic
 

 46. 
Linda and Matt each survey 20 people about the carving in front of the post office. Linda was at the mall entrance and Matt was at the entrance to the fine arts centre. When they compared their results, the responses were very different. What influencing factor(s) may have caused the difference?
a.
timing
c.
all of the these
b.
cultural sensitivity
d.
wording
 
 
nar004-1.jpg
 

 47. 
This line graph shows the number of baskets scored by Julie and Erica during six games. A clearer way to show this comparison might be to use a
a.
double bar graph that records the number of baskets each player scored in each game
c.
bar graph to show the total number of baskets scored in each game
b.
pictograph showing the total number of baskets scored in each game
d.
circle graph showing the percent of baskets each player scored during the season
 
 
nar005-1.jpgnar005-2.jpg
 

 48. 
Which of the two graphs would you use if you wanted to know the total number of plants in the garden?
a.
The circle graph, because it is easy to add the percents.
c.
The circle graph, because it tells you there are 100 plants.
b.
The pictograph, because you can see how many carrot plants are in each picture.
d.
The pictograph, because the symbols are easy to count.
 
 
nar006-1.jpg
 

 49. 
Another good way to compare the fraction of cell phone calls made by each user would be to use a
a.
pictograph with big cell phones for people who call a lot and little cell phones for people who don’t
c.
double bar graph, to compare two sets of data
b.
circle graph, to show the percent of calls made by each user
d.
line graph, to show the change in cell phone use over time
 
 
nar007-1.jpg
 

 50. 
Which graph would be best for showing what percent of the time each type of movie was chosen?
a.
double bar graph
c.
circle graph
b.
bar graph
d.
line graph
 



 
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