Name: 
 

Math 9 LG 11 Unit 3 Practice Test #5



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

 1. 

Solve mc001-1.jpg.
a.
p = 0.22
b.
p = 0.45
c.
p = 2.88
d.
p = 4.5
 

 2. 

What is the value of m if mc002-1.jpg?
a.
m = 2.1
b.
m = 5.83
c.
m = 7.75
d.
m = 9.5
 

 3. 

What is the value of d if mc003-1.jpg?
a.
d = 0.3
b.
d = 3.33
c.
d = 18.9
d.
d = 21
 

 4. 

Solve mc004-1.jpg.
a.
r = 4.3
b.
r = 8.1
c.
r = 34.53
d.
r = 94.041
 

 5. 

What is the value of q if mc005-1.jpg?
a.
q = 0.396
b.
q = 2.862
c.
q = 4.100
d.
q = 11.240
 

 6. 

Solve the following: mc006-1.jpg.
a.
a = 0.8
b.
a = 1.12
c.
a = 1.4
d.
a = 1.92
 

 7. 

Solve the following: mc007-1.jpg.
a.
x = 0.5
b.
x = 1.5
c.
x = 2.0
d.
x = 3.5
 

 8. 

Solve mc008-1.jpg.
a.
k = 4.3
b.
k = 8.19
c.
k = 9.87
d.
k = 18.06
 

 9. 

What is mc009-1.jpg?
a.
d = 0
b.
d = 0.675
c.
d = 2.25
d.
d = 4.5
 

 10. 

Julie puts 62 blue buttons in a bag. This number is 12 more than half the number of red buttons. The number of yellow buttons is one quarter the number of red buttons. How many yellow buttons are there in the tin?
a.
15
b.
25
c.
50
d.
100
 

 11. 

Which linear relation is represented by the following graph?

mc011-1.jpg
a.
mc011-2.jpg
c.
mc011-4.jpg
b.
mc011-3.jpg
d.
mc011-5.jpg
 
 
Assume that this graph shows air pressure at different altitudes. Use the graph to answer the following question(s).

nar001-1.jpg
 

 12. 

When a mountain climber reaches an altitude of 1000 m, what is the approximate air pressure?
a.
78 kPa
c.
88 kPa
b.
82 kPa
d.
92 kPa
 

 13. 

If a balloonist measures the air pressure to be 80 kPa, at what approximate altitude was the measurement taken?
a.
1300 m
c.
2000 m
b.
1700 m
d.
2300 m
 

 14. 

What is the approximate air pressure at an altitude of 4000 m?
a.
35 kPa
c.
43 kPa
b.
40 kPa
d.
50 kPa
 
 
Use the graphs to answer the following question(s).

nar002-1.jpg nar002-2.jpg
 

 15. 

Which linear relation represents Bill’s graph?
a.
mc015-1.jpg
c.
mc015-3.jpg
b.
mc015-2.jpg
d.
mc015-4.jpg
 

 16. 

Which graph represents the following table of values?

x
y
6
0
4
2
2
4
0
6
a.

mc016-1.jpg
c.

mc016-3.jpg
b.

mc016-2.jpg
d.

mc016-4.jpg
 

 17. 

Which graph represents the equation mc017-1.jpg?
a.

mc017-2.jpg
c.

mc017-4.jpg
b.

mc017-3.jpg
d.

mc017-5.jpg
 

 18. 

Which graph represents a vertical line?
a.

mc018-1.jpg
c.

mc018-3.jpg
b.

mc018-2.jpg
d.

mc018-4.jpg
 

 19. 

If the area of the first iteration of the Sierpinski triangle fractal is 1 unit2, what is the area of the smallest triangle in the fourth iteration?

mc019-1.jpg
a.
mc019-2.jpg unit2
c.
mc019-4.jpg unit2
b.
mc019-3.jpg unit2
d.
mc019-5.jpg unit2
 

 20. 

What missing values should go in the shaded boxes in the Pascal’s triangle shown below?

mc020-1.jpg
a.
5, 15, 20, 15, 5
c.
7, 16, 25, 16, 7
b.
6, 15, 20, 15, 6
d.
9, 16, 26, 16, 9
 

Short Answer
 

 21. 

A bag of marbles contains 36 red marbles. There are one quarter as many purple marbles as there are red ones. There are 3 times as many green marbles as there are purple ones. Determine the number of green marbles in the bag.
 

 22. 

Solve and show your work.

sa022-1.jpg
 

 23. 

Tracy is walking near a motion detector.
a) How far was Tracy from the sensor when she began walking?
b) Was she walking toward or away from the motion sensor at the time?
c) How long did it take her to reach the motion sensor?

sa023-1.jpg
 
 
The graph shows the cost of photocopying. Use the graph to answer the following question(s).

nar003-1.jpg
 

 24. 

a) Approximately how much does it cost to copy 12 pages?
b) Approximately how much does it cost to copy 32 pages?
 

Problem
 

 25. 

A skier takes 2 min and 24 s to complete a run of 1.8 km. Determine the average speed of the skier, in m/s.
 

 26. 

In a 48-member high school band, pr026-1.jpg of the students are in the strings section. The strings section held a fundraising sale of coupon books. They sold 270 books.
a) Determine the average number of books sold by each student in the strings section.
b) How many books would be sold by the entire band, if each student was able to sell the average number of books sold by the students in the strings section?
 

 27. 

A bulk-food store sells a variety of nuts. James buys 0.325 kg of almonds and 0.735 kg of peanuts. Almonds cost $0.85 for 100 g. If James spends a total of $8.35 on nuts, what is the price of 100 g of peanuts? Round your answer to the nearest cent.
 

 28. 

Abby and Braden are tiling a floor. All tiles are square. The figure below shows how many tiles Abby and Braden put in place, by the hour.

pr028-1.jpg

a)
Complete the table of values.

Hours Worked
1
2
3
4
5
Number of Light Grey Tiles     
Number of Dark Grey Tiles     

b) How many light grey tiles have been laid in five h?
c) If there are 60 dark grey tiles to be laid, how long did it take to complete the work?
 

 29. 

A polynomial such as pr029-1.jpg can be multiplied by itself so that: pr029-2.jpg
Use this information and Pascal’s triangle to predict the result of multiplying the polynomial by itself 7 times, or pr029-3.jpg. Remember that the first row is the “0” row.

pr029-4.jpg
 

 30. 

A soccer team is buying T-shirts to sell as a fundraiser. The team pays a flat fee of $35 for a logo design plus $7.00 per T-shirt. The following graph represents the relationship between the number of T-shirts and the total cost.

pr030-1.jpg

a)
By interpolation, how much would it cost to have 30 T-shirts produced?
b) Use extrapolation to determine how many T-shirts the team can order if they have $525.
 



 
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