Grade 7 Mathematics
Final Exam
1. Which of the following numbers is evenly divisible by both 10 and 5?
a. 35
b. 180
c. 264
d. 905
2. What is the first number greater than 6000 that is evenly divisible by 2, 5 and
10?
a. 6100
b. 6001
c. 5090
d. 6010
3. Which of the following numbers is evenly divisible by 3 and 9?
a. 12 220
b. 3360
c. 9387
d. 26 231
4. A tennis ball manufacturer has 3264 tennis balls to be packed in cylindrical
containers of 3 each. How many containers of tennis balls will be filled?
a. 1088
b. 1800
c. 2234
d. 455
5. Every 5th flower in a row is pink. Every 9th flower is a tulip. How many
flowers in a row of 100 flowers would be a pink tulip?
a. 2
b. 5
c. 18
d. 4
6. Which of the following fractions is greater than ½ but less than ¾?
a. 5/10
b. 4/12
c. 6/9
d. 5/6
7. Which of the following fractions is equivalent to 4/9?
a. 2/5
b. 8/18
c. 14/19
d. 1/9
8. What is the sum of 4/7 and 1/6?
a. 5/13
b. 4/42
c. 7/8
d. 31/42
Use the following table to answer question 9 and 10.
Type of Food
Fruit
Ice Cream
Pizza
Other
Fraction of Students Who Prefer the Food
1/12
1/4
1/6
?
9. What fraction of students prefers either ice cream or fruit?
a. 1/3
b. 2/16
c. 1/8
d. 5/12
10. What fraction of students prefers food other than pizza, ice cream and fruit?
a. 1/2
b. 1/3
c. 3/8
d. 5/6
11. Peter is painting his bedroom. His bedroom has 4 walls. Yesterday, he
painted 1 and 1/4 walls. What fraction of the walls is left to paint?
a. 3 and 3/4
b. 2 and 1/2
c. 2 and 3/4
d. 2 and 1/3
12. What is the sum of 27.08 and 43.74?
a. 70.66
b. 72.93
c. 18.34
d. 70.82
13. What is the difference of 32.65 and 15.32?
a. 17.33
b. 18.45
c. 47.35
d. 32.42
14. An elevator can hold 650kg. Three people are trying to move a piano using
the elevator. The mass of the 3 people is 92.5kg, 53.2kg and 89.8kg. The
mass of the piano is 402.5kg. With all three people and the piano in the
elevator, how much more mass can the elevator handle?
a. 18.8kg
b. 12.0kg
c. 17.6kg
d. 9.7kg
15. Solve the following: 23.4 x 6 =
a. 140.0
b. 140.4
c. 160.8
d. 160.3
16. A baseball weighs 148.8 grams. If baseballs come in sets of 12, what would
the overall weight of the 12 baseballs be?
a. 1785.6 grams
b. 2322.5 grams
c. 845.0 grams
d. 1022.2 grams
17. A daily gym pass is $5 per visit. A monthly gym pass costs $45.50. A year
pass costs $500.00. Which pass is cheaper if you went every day for a year?
a. The daily gym pass
b. The monthly gym pass
c. The year gym pass
d. They all cost the same
18. Bernie needs to purchase 48 stamps. Each stamp costs 5 cents each. Bernie
only has $3. How much money will Bernie have left over?
a. $0.80
b. $0.60
c. $1.20
d. $1.00
Use the following chart to complete questions 19 – 22.
Percent
Decimal
84%
0.84
0.24
5%
Fraction (reduced)
1/5
8/25
1/20
19. What is the decimal form of 1/5?
a. 2.0
b. 0.02
c. 0.2
d. 0.25
20. What is the percent form of 8/25?
a. 35%
b. 48%
c. 23%
d. 32%
21. What is the reduced fraction form of 0.24?
a. 24/100
b. 12/50
c. 5/25
d. 6/25
22. What is the decimal form of 5%?
a. 0.5
b. 5.0
c. 0.05
d. 0.005
23. Sales tax in Alberta is 5%. What is the sales tax on an item that costs $25?
a. $12.50
b. $1.25
c. $2. 50
d. $25.00
24. Adrianna scored at least one goal in 24 out of the 36 hockey games she
played in. What percentage of games did Adrianna score in?
a. 60%
b. 84%
c. 45%
d. 67%
25. Bryce has 500 baseball cards. He needs to sell 40% of his cards to have
enough space in his binder for all of his cards. How many cards must he sell?
a. 200
b. 340
c. 260
d. 150
26. There are 300 students in Lakewood Elementary School. 20% of them are in
grade 2. How many students are in grade 2?
a. 40
b. 90
c. 120
d. 60
27. Jason wants to get at least 80% on his math exam. There are 220 questions
on the exam. What is the least amount of questions Jason needs to answer
correctly to achieve his goal of at least 80%?
a. 106
b. 198
c. 156
d. 176
28. What is the area of the following shape?
4cm
12.5cm
a.
b.
c.
d.
46cm2
16.5cm2
60.2cm2
50cm2
29. What is the area of the following shape?
5.2m
7.8m
a.
b.
c.
d.
40.56m2
13m2
36.22m2
42.55m2
30. What is the area of the following shape?
8.8cm
8.8cm
a.
b.
c.
d.
74.7cm2
77.44cm2
44.27cm2
87.32cm2
31. What is the area of the following shape?
2.1m
3.7m
a.
b.
c.
d.
7.77m2
3.885m2
5.8m2
1.6m2
32. What is the area of the following shape?
30cm
a.
b.
c.
d.
124.2cm2
94.2cm2
2826cm2
188.4cm2
33. What is the diameter of the following circle?
12.3m
a.
b.
c.
d.
12.3m
24.6m
77.244m
38.622m
34. What is circumference of the following circle?
3.5cm
a.
b.
c.
d.
21.98cm
10.99cm
7.0cm
38.465cm
35. What is the measure of the missing angle in the following circle?
90o
135o
?
a.
b.
c.
d.
150o
125o
135o
180o
36. Which of the following has a result of -5?
a. (-4) + (-6) =
b. (+10) – (-5) =
c. (-12) + (+5) =
d. (-10) – (-5) =
37. What is the sum of -4 and -6?
a. 10
b. -10
c. 2
d. -2
38. Jessie measured the temperature at noon and found that it was 32oC. He
measured the temperature again at midnight and found that the temperature
had dropped 12oC. What temperature did Jessie measure at midnight?
a. 44oC
b. -20oC
c. 20oC
d. -44oC
39. Jared went on a hike. On the first day he gained 25m of elevation. The
second day he lost 15m of elevation and finished his hike at an elevation of
245m. What elevation did Jared start his hike at?
a. 235m
b. 270m
c. 215m
d. 230m
40. What are two lines that never intersect called?
a. Perpendicular
b. Parallel
c. Perpendicular bisectors
d. A right angle
41. Which of the following best describes the set of line segments below?
C
A
a.
b.
c.
d.
D
AB is parallel to CD
AB is a perpendicular bisector
AB is perpendicular to CD
CD is a perpendicular bisector
B
42. Which of the following best describes the set of line segments below?
A
B
3.5cm
C
a.
b.
c.
d.
3.5cm
D
AB is perpendicular to CD
CD is parallel to AB
AB is an angle bisector
CD is a perpendicular bisector
43. Which measure will an angle bisector have if the original angle has a measure
of 120o?
a. 240o
b. 60o
c. 90o
d. 100o
Use the following data set to answer questions 44 – 46.
22, 18, 26, 33, 26, 20, 20, 25, 29, 30, 26, 28
44. What is the mean of the data set?
a. 25.25
b. 30.3
c. 26
d. 20
45. What is the median of the data set?
a. 20
b. 26
c. 30.3
d. 25.25
46. What is the mode of the data set?
a. 20
b. 25.25
c. 33
d. 26
47. Which of the following is most likely considered an outlier in the data set
below?
45, 56, 34, 48, 52, 56, 39, 96, 39, 44, 50
a.
b.
c.
d.
34
48
50
96
48. The following is the annual snowfall, in centimeters, at a ski resort over ten
years: 806, 1164, 1230, 975, 1016, 1087, 1150, 890, 985, 1192. According to
this data, what is the average amount of snowfall at this resort?
a. 1049.5cm
b. 1255.3cm
c. 996.4cm
d. 1023.3cm
Use the following data table to answer questions 49 – 53.
Heads
Tails
1
III
I
Flipping a Coin and Rolling a Di
2
3
4
IIII
II
II
I
II
5
III
49. What is the theoretical probability of rolling a 6 and flipping tails?
a. 1:6
b. 1:20
c. 1:10
d. 1:12
50. What is the experimental probability of rolling a 3 and flipping heads?
a. 4:12
b. 1:20
c. 1:5
d. 2:15
51. What is the experimental probability of rolling a 5 and flipping heads?
a. 15%
b. 25%
c. 1.5%
d. 20%
6
I
I
52. What is the experimental probability of rolling a 2 and flipping tails?
a. 2/12
b. 1/10
c. 3/20
d. 1/15
53. Which of the following data sets accurately represents the data table results?
a. 4, 3, 3, 2, 5, 2, 2, 4, 1, 1, 0, 0
b. 3, 4, 2, 5, 1, 1, 2, 3, 1, 1, 5, 2
c. 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4
d. 3, 0, 4, 2, 3, 1, 1, 2, 1, 2, 0, 1
Use the following circle graph to answer questions 54 – 56.
Preferred Travel Destinations
Africa
3%
Australia
5%
Asia
15%
Other
12%
Europe
65%
54. If 5000 people were surveyed when collecting the data in the circle graph
above, how many chose Europe and their preferred travel destination?
a. 750
b. 3250
c. 77
d. 2580
55. According to the circle graph above, what is the theoretical probability of
someone choosing Australia as his or her preferred travel destination?
a. 5%
b. 1:20
c. 1/5
d. 0.5
56. What is the experimental probability, as a reduced fraction, of someone
choosing “other” as his or her preferred travel destination?
a. 12/100
b. 6/50
c. 1/5
d. 3/25
Use the following data table to answer questions 57 – 59.
Input
1
2
3
4
Output (5x + 2)
57. Using the data table above, what is the output when the input is 3?
a. 12
b. 9
c. 16
d. 17
58. Using the data table above, which input produces an output of 7?
a. 1
b. 2
c. 3
d. 4
59. Using the data table above, what will the output be if the input is 12?
a. 50
b. 62
c. 49
d. 48
60. What is the expression for three less than four times a number?
a. 3 – 4x
b. 4x + 3
c. 3x – 4
d. 4x – 3
61. What is the expression for three more than half a number?
a. x/2 + 3
b. 2x + 3
c. 3x + 2
d. 2/x + 3
62. What is the expression for twelve less than a number?
a. 12 + x
b. x + 12
c. 12x
d. x – 12
63. What is the expression for eight times a number plus seven?
a. 8 + 7x
b. 8x + 7x
c. 8x + 7
d. 7x + 8
64. What is the word form of the expression 4x – 6?
a. Six less than a number times four
b. Six less than a quarter of a number
c. Four less than six times a number
d. A number less than six times four
65. What is the expression for the following data table?
Input
1
2
3
a.
b.
c.
d.
Output
7
12
17
2x + 5
5x + 2
3x – 1
8x – 1
66. What is the expression for the following data table?
Input
3
4
5
a.
b.
c.
d.
2x + 2
3x – 1
3x – 2
4x – 8
Output
8
10
12
67. What is the expression for the following data table?
Input
12
14
16
a.
b.
c.
d.
Output
6
7
8
x/3 + 4
2x – 2
x/4 – 4
x/2
68. What is the expression for the following data table?
Input
8
9
10
a.
b.
c.
d.
x+2
x–2
2x – 2
x – 2x
69. Evaluate 5x + 5 given that x = 3.
a. 25
b. 23
c. 15
d. 20
70. Evaluate x/4 – 3 given that x = 12.
a. 3
b. 8
c. 0
d. 6
71. Evaluate x – 8 given that x = 22
a. 16
b. 12
c. 14
d. 9
Output
6
7
8
72. Evaluate 2x + 3 given that x = 10
a. 24
b. 23
c. 19
d. 26
73. Evaluate 6x – 9 given that x = 3
a. 9
b. 11
c. 12
d. 15
74. Evaluate 12x given that x = 1
a. 13
b. 9
c. 12
d. 24
75. What is the expression for the following graph?
a. x + 1
b. 2x
c. 2x – 1
d. x – 4
76. What is the expression for the following graph?
a. 6x
b. 2x + 6
c. 6x + 2
d. 3x – 5
77. Which of the following is an expression?
a. 6x + 2
b. 3x = 12
c. x/5 + 3 = 8
d. 8x = 16
78. Which of the following is an equation?
a. 4x + 2
b. 8x = 24
c. 3x – 5
d. 9x + 8
79. Which of the following is NOT an equation?
a. 4x = 12
b. 3x = y
c. 2x + 3
d. 8x -2 = y
80. What is the value of the variable in the equation 2x + 3 = 15?
a. 5
b. 6
c. 7
d. 8
81. What is the value of the variable in the equation 4x – 6 = 6?
a. 3
b. 5
c. 6
d. 7
82. What is the value of the variable in the equation x/6 + 2 = 4?
a. 17
b. 13
c. 8
d. 12
83. What is the value of the variable in the equation 6x = 48?
a. 4
b. 9
c. 7
d. 8
84. What is the value of the variable in the equation 9x – 8 = 82?
a. 10
b. 12
c. 9
d. 6
85. What is the value of the variable in the equation x – 4 = - 9?
a. 5
b. -3
c. -8
d. -5
86. What is the value of the variable in the equation x + 3 = -8?
a. -10
b. 8
c. -11
d. 5
87. What is the value of the variable in the equation x – 9 = -1?
a. 8
b. -4
c. 6
d. -8
88. What is the value of the variable in the equation 5 – x = 9?
a. 4
b. -4
c. 14
d. 6
89. What type of transformation has been performed on the following Cartesian
plane?
a.
b.
c.
d.
A translation
A reflection
A rotation clock-wise
A rotation counter-clockwise
90. What coordinate will vertex A be located at after the shape has been
translated (-3, 2)?
a.
b.
c.
d.
(0, 1)
(-3, 4)
(1, -1)
(-2, -4)
91. What coordinate will vertex H be located at after the shape is reflected over a
line of reflection of y = -1?
a.
b.
c.
d.
(2, 2)
(-2, -2)
(3, -1)
(4, -2)
92. What transformation is also known as a slide?
a. A reflection
b. A rotation counter-clockwise
c. A translation
d. A rotation clockwise
93. What is the value of the coordinates located in quadrant II of a Cartesian
plane?
a. (negative, negative)
b. (negative, positive)
c. (positive, positive)
d. (positive, negative)
94. What is the central point of a Cartesian plane called?
a. The centre
b. The origin
c. The middle
d. The vertex
Use the following diagram to answer questions 95 – 100.
O
18%
H
10%
I
17%
N
20%
J
7%
M
13%
L
13%
K
2%
95. Which of the following fractions best represents category N in the graph
above?
a. 1/6
b. 2/9
c. 2/3
d. 1/5
96. If category K represents 10 people, how many people are represented by
category H?
a. 25
b. 10
c. 50
d. 65
97. If the radius of this circle graph is 22cm, what would the circumference be?
a. 138.16cm
b. 69.08cm
c. 44cm
d. 1519.76cm
98. If 100 people were surveyed to create this circle graph, how many people
would be represented by category O?
a. 18
b. 36
c. 9
d. 81
99. What is the sum of all of the internal angles of this circle graph?
a. 100
b. 360
c. 240
d. 180