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Math 9 Practice Final #3



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. 

Evaluate mc002-1.jpg
a.
–1.4
c.
0.6
b.
2.6
d.
1.6
 

 3. 

Yesterday, the temperature of a freezer was mc003-1.jpg. When the technician checked the freezer today, its temperature had decreased by mc003-2.jpg. Determine the temperature of the freezer today.
a.
mc003-3.jpg
c.
mc003-5.jpg
b.
mc003-4.jpg
d.
mc003-6.jpg
 

 4. 

What is (mc004-1.jpg - mc004-2.jpg) ´ mc004-3.jpg?
a.
mc004-4.jpg
c.
mc004-6.jpg
b.
mc004-5.jpg
d.
mc004-7.jpg
 

 5. 

Avery had mc005-1.jpg of a pizza left over from a party. She gave Ava mc005-2.jpg of the leftover pizza. How much of the original pizza did Avery give to Ava?
a.
mc005-3.jpg
c.
mc005-5.jpg
b.
mc005-4.jpg
d.
mc005-6.jpg
 

 6. 

What is the lowest common denominator for mc006-1.jpg, mc006-2.jpg, and mc006-3.jpg?
a.
182
c.
143
b.
2002
d.
11
 

 7. 

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

 8. 

Triangle B is a drawing of Triangle A with a scale of 1:3. If the hypotenuse of Triangle A is 32 mm, what is the length of the hypotenuse of Triangle B?
a.
13.07 mm
c.
10.67 mm
b.
32.47 mm
d.
96 mm
 

 9. 

Determine the length of DC in this pair of similar triangles.

mc009-1.jpg
Diagram not drawn to scale
a.
7 m
c.
9 m
b.
11.7 m
d.
17.5 m
 

 10. 

mc010-1.jpg is a scalene triangle. A similar triangle, mc010-2.jpg, is developed using a scale factor of 3. What is the measure of mc010-3.jpgDEF?
a.
equal to mc010-4.jpgABC
c.
equal to six times mc010-6.jpgABC
b.
equal to one-sixth mc010-5.jpgABC
d.
equal to mc010-7.jpgBCA
 

 11. 

A farmer sketched the following layout of a field. He wants to develop a scale drawing of the field in which 1 cm on the diagram represents 5 m of actual distance. The pipeline runs across the diagonal of the field. Approximately how long will the line that represents the pipeline be in the scale diagram?
mc011-1.jpg
a.
500.0 cm
c.
14.1 cm
b.
10.0 cm
d.
5.0 cm
 

 12. 

Ray wants to draw a scale diagram of the field shown in the sketch. He plans to use a scale of 1 mm : 4 m. How long should he draw line AB if he wants to represent a distance of 180 m?

mc012-1.jpg
a.
45 mm
c.
400 mm
b.
720 mm
d.
4 mm
 

 13. 

The image of a cellphone on a poster is 18.6 cm long. The actual cellphone is 9.3 cm long. Determine the scale used to create the poster.
a.
mc013-1.jpg
c.
mc013-3.jpg
b.
mc013-2.jpg
d.
mc013-4.jpg
 

 14. 

A scale diagram of two flower pots is shown below. If the flower pot on the left has a base with a diameter of 3 cm, what is the approximate diameter of the base of the flower pot on the right?

mc014-1.jpg
a.
4.5 cm
c.
2.4 cm
b.
1.5 cm
d.
2.0 cm
 
 
Choose the best answer.
 

 15. 

Calculate the volume of a cube with a side length of 9 cm.
a.
729 cm3
c.
9 cm3
b.
81 cm3
d.
27 cm3
 

 16. 

Evaluate the power mc016-1.jpg.
a.
6
c.
–6
b.
8
d.
–8
 

 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. 

Two cubes have edge lengths of 9 cm and 3 cm, respectively. What is the difference in volume of the two cubes?
a.
702 cm3
c.
756 cm3
b.
243 cm3
d.
27 cm3
 

 19. 

Determine the value of mc019-1.jpg?
a.
128
c.
4 782 969
b.
mc019-2.jpg
d.
mc019-3.jpg
 

 20. 

Evaluate mc020-1.jpg.
a.
1 048 576
c.
1024
b.
32 768
d.
2048
 

 21. 

Find a pair of whole numbers x and y, excluding zero, that makes the following equation true: mc021-1.jpg.
a.
mc021-2.jpg
c.
mc021-4.jpg
b.
mc021-3.jpg
d.
mc021-5.jpg
 

 22. 

In the term mc022-1.jpg, the letter d is best described as being a(n) __________.
a.
polynomial
c.
variable
b.
exponent
d.
coefficient
 

 23. 

Identify the like terms in the following list of terms.
mc023-1.jpg, mc023-2.jpg, mc023-3.jpg, mc023-4.jpg, mc023-5.jpg
a.
mc023-6.jpg and mc023-7.jpg
c.
mc023-10.jpg and mc023-11.jpg
b.
mc023-8.jpg and mc023-9.jpg
d.
mc023-12.jpg and mc023-13.jpg
 

 24. 

What is the opposite of the polynomial mc024-1.jpg?
a.
mc024-2.jpg
c.
mc024-4.jpg
b.
mc024-3.jpg
d.
mc024-5.jpg
 

 25. 

What is the opposite of the polynomial mc025-1.jpg?
a.
mc025-2.jpg
c.
mc025-4.jpg
b.
mc025-3.jpg
d.
mc025-5.jpg
 

 26. 

Determine the missing dimension of the rectangle below.
mc026-1.jpg
a.
mc026-2.jpg
c.
mc026-4.jpg
b.
mc026-3.jpg
d.
mc026-5.jpgmc026-6.jpg
 

 27. 

Expand mc027-1.jpg using the distributive property.
a.
mc027-2.jpg
c.
mc027-4.jpg
b.
mc027-3.jpg
d.
mc027-5.jpg
 

 28. 

Write a division statement for the quotient modelled by the algebra tiles.

mc028-1.jpg
a.
mc028-2.jpg
c.
mc028-4.jpg
b.
mc028-3.jpg
d.
mc028-5.jpg
 
 
Assume that this graph shows air pressure at different altitudes. Use the graph to answer the following question(s).

nar002-1.jpg
 

 29. 

What is the approximate air pressure at an altitude of 5000 m?
a.
45 kPa
c.
35 kPa
b.
25 kPa
d.
40 kPa
 
 
Use the graphs to answer the following question(s).

nar003-1.jpg nar003-2.jpg
 

 30. 

At what time has John walked 4 m further than Bill?
a.
7 s
c.
9 s
b.
16 s
d.
8 s
 

 31. 

A theatre has 22 seats in the first row, 34 seats in the second row, 46 seats in the third row, and so on. What is the linear equation that represents the number of seats, s, in each row, r?
a.
mc031-1.jpg
c.
mc031-3.jpg
b.
mc031-2.jpg
d.
mc031-4.jpg
 
 
Use the figures to answer the following question(s).
nar004-1.jpg
 

 32. 

How many dots would the next figure contain?
a.
27
c.
11
b.
20
d.
19
 

 33. 

How many dots are in the sixth figure?
a.
11
c.
35
b.
17
d.
13
 

 34. 

Following the pattern above, how many dots will Figure 5 contain?
a.
13
c.
11
b.
12
d.
10
 

 35. 

In the equation mc035-1.jpg, determine the value of P when n = 13.
a.
23
c.
82
b.
102
d.
76
 

 36. 

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

 37. 

Solve the following: mc037-1.jpg.
a.
mc037-2.jpg
c.
mc037-4.jpg
b.
mc037-3.jpg
d.
mc037-5.jpg
 

 38. 

Solve mc038-1.jpg.
a.
mc038-2.jpg
c.
mc038-4.jpg
b.
mc038-3.jpg
d.
mc038-5.jpg
 

 39. 

What is the solution to the equation mc039-1.jpg?
a.
t = –85
c.
t = 0.49
b.
t = 7
d.
t = –0.04
 

 40. 

Solve mc040-1.jpg.
a.
x = –5.3
c.
x = 1.8
b.
x = –4
d.
x = 1.3
 

 41. 

Solve mc041-1.jpg.
a.
x = 1.36
c.
x = –0.6
b.
x = 1.5
d.
x = –0.55
 

 42. 

Julie puts 67 blue buttons in a bag. This number is 13 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.
27
c.
40
b.
54
d.
108
 

 43. 

Pat buys 7 cans of pop per week. This is 2 more than one fifth the number of cans of juice Pat buys per week. How many cans of juice does Pat buy per week?
a.
45
c.
35
b.
33
d.
25
 

 44. 

A teacher offers her class ten extra minutes of recess if they complete a survey. This is an example of 
a.
poor timing
c.
bias
b.
inappropriate ethics
d.
cultural insensitivity
 

 45. 

In which situation might the cost of the study outweigh the benefits?
a.
A teacher asks her class to complete a survey with the question, “What is your favourite subject?”
c.
Every household in the city is mailed a survey asking, “Do you think tulips should be planted in the city parks?”
b.
A butcher surveys all of the customers in his shop to determine if they prefer hamburgers or hot dogs.
d.
Students in a class are asked, “Do you like your parents?”
 

 46. 

In which situation might timing be an influencing factor?
a.
A teacher asks her class to complete a survey with the question, “What is your favourite subject?”
c.
After a baseball game, the people leaving the stadium are surveyed to determine their favourite sport.
b.
Every household in the city is mailed a survey asking, “Do you think it is important to maintain the city’s parks?”
d.
Students in a grade 5 class are asked, “Do you like your parents?”
 

 47. 

Martin is conducting a survey to determine if the school cafeteria should stop selling soft drinks. From what population should he take his sample?
a.
people who work at a soft-drink factory
c.
adults who have no kids
b.
people who eat lunch in the cafeteria
d.
people who are allergic to soft drinks
 

 48. 

A convenience sample is one that is created by
a.
choosing respondents from the population at random
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 who are easy to access
 

 49. 

A systematic sample is created by
a.
choosing respondents from the population who are easy to access
c.
inviting the whole population to participate if they wish
b.
choosing survey respondents at fixed intervals from an ordered list of the entire population
d.
choosing respondents from the population at random
 

 50. 

A coach is checking the statistics on a player and wants to know whether the player is making progress over the season. Is the graph shown below the best graph to use?
mc050-1.jpg
a.
No, because you cannot easily compare the data between two games.
c.
Yes, because you can see a positive trend in the data over time.
b.
Yes, because the data can be easily counted.
d.
No, because you cannot see the full season.
 



 
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