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Worksheets

Mid term review

Total questions: 139

Worksheet time: 3hrs 27mins

Name
Class
Date
1.

At Donovan's Donuts, the number of donut holes in a box can vary. Help Donovan find the mode.

12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

2.

Eli bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Eli's scores?

a)

193

b)

127

c)

60

d)

66

3.

What is the mode?

a)

# occurring the most

b)

the average

c)

greatest - least

d)

the middle #

4.
The scores awarded to 25 students for an assignment were as follows:
4  7  5  9  8  6  7  7  8  5  6  9  8    5  8  7  4  7  3  6  8  9  7  6  9
What is  the mode?
a)
6
b)
7
c)
8
d)
9
5.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
6.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
7.
Find the median, mode and range: 
3, 5, 7, 9, 11, 8, 3
a)
median:7  mode:3  range:7
b)
median:6  mode:3  range:7
c)
median:7  mode:3  range:8
8.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
9.

To find the mean of a set of numbers, add up all the items and divide by...

a)

2

b)

The minimum

c)

The maximum

d)

The number of data

10.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
11.

What is the range?

a)

average

b)

greatest-least

c)

the middle #

d)

# happening the most

12.
Find the range.
7, 1, 1, 7, 1, 4, 1
a)
6
b)
5
c)
7
d)
3
13.
Find the median.
12, 5, 9, 18, 22, 25, 5
a)
9
b)
8
c)
12
d)
18
14.
Find the range.
12, 5, 9, 18, 22, 25, 5
a)
20
b)
15
c)
22
d)
18
15.

The number of miles that Kyle biked each week for a 7-week period is shown:

36, 42, 28, 52, 48, 36, 31

What is the median number of miles Kyle biked?

a)

24

b)

36

c)

39

d)

52

16.

Hypothesis?

4 lines
17.

A car salesman records information about the cars he is selling.


The number of doors is _____ data

a)

Qualitative

b)

Continuous

c)

Discrete

18.

A car salesman records information about the cars he is selling.


The age of each car is _____ data

a)

Qualitative

b)

Continuous

c)

Discrete

19.

A car salesman records information about the cars he is selling.


The colour of each car is _____ data

a)

Qualitative

b)

Continuous

c)

Discrete

20.

The length of a football pitch is _____ data

a)

Discrete

b)

Continuous

21.

The number of seats in a car is _____ data

a)

Discrete

b)

Continuous

22.
Sources of Data Collection
a)
Interview and observation
b)
Questionnaires and survey
c)
Primary sources and secondary sources
d)
Books and journal
23.
What is primary sources?
a)
Data gather from previous research
b)
Your own data collection from own investigation
c)
The first data acquired 
d)
Your own created data
24.
Look for recent reports, check on the author’s qualification and the reputation of the publisher - characteristic of?
a)
Secondary sources
b)
Primary sources
25.
What is secondary sources?
a)
Interview session with the sample
b)
Data collect from an experiment
c)
Any data gained from a survey or questionnaires
d)
Publications, government documents, brochures, newsletters, annual reports
26.
When creating questions you want to avoid:
a)
Biased questions
b)
Questions that assume what they ask 
c)
Double-barreled questions
d)
All of the above
27.
Which one is a good question?
a)
What do you think about parking? 
b)
Do you believe that the parking   situation on campus is okay? 
c)
What is your opinion of the parking situation on campus?
d)
Do you believe that the parking situation on campus is   problematic? 
28.
Questions that do not relate to what you want to learn is acceptable.
a)
True
b)
False
29.
Rank these movies according to your preferences; from  
1 (most preferred) to 5 (least preferred)
a)
Multiple choice
b)
Checklist
c)
Ranking 
d)
Scale
30.
One of the guidelines when making survey questions is to create questions that are easy to tabulate or analyse.
a)
True
b)
False
31.

Which of these statements describes primary data?

a)

Information stored on the internet.

b)

Information that is collected directly from the source.

c)

Information that already exists.

32.
Which subject received the most votes?
a)
science
b)
reading
c)
social studies
d)
math
33.
What type of graph is this?
a)
bar graph
b)
pictograph
c)
tally chart
34.
How many people like fish best?
a)
10
b)
4
c)
6
d)
5
35.
Which fruit did most children choose?
a)
apple
b)
banana
c)
grapes
36.
How many tally marks?
a)
12
b)
13
c)
15
d)
2
37.

How many hot dogs did Bell E. Ake eat?

a)

11

b)

9

c)

2 1/2

d)

12

38.
Put 6/8 in simplest form.
a)
3/4
b)
12/16
c)
1/4
d)
60/80
39.

Put the fraction in simplest form.

a)

3/6

b)

1/2

c)

1/4

d)

2/4

40.
Put 10/100 in simplest form.
a)
1/10
b)
Already in simplest form
c)
5/50
d)
2/20
41.
Is 4/8 in simplest form?
a)
yes 
b)
no
42.

What is the simplest form of 2/6?

a)

2/6

b)

2/3

c)

1/3

d)

4/12

43.

What is the simplest form of 5/10?

a)

5/10

b)

1/2

c)

10/20

d)

1/3

44.

Is 7/10 in simplest form?

a)

yes

b)

no

45.

Put the fraction in simplest form.

6/8

a)

3/4

b)

1/2

c)

1/3

d)

1/4

46.
Put 3/7 in simplest form.
a)
6/14
b)
9/21
c)
1/3
d)
Already in simplest form
47.
Put 2/6 in simplest form.
a)
4/12
b)
6/18
c)
Already in simplest form
d)
1/3
48.
Equivalent 15/20
a)
3/4
b)
3/5
c)
10/20
d)
2/3
49.
Write in simplest form.
12/15
a)
3/4
b)
1/5
c)
4/5
50.
simplify   6/12
a)
2
b)
1/2
c)
2/6
d)
6/6
51.
A fraction is in simplest form when the numerator and denominator
a)
are the same
b)
are both even
c)
are both odd
d)
have no common factor other than 1
52.
To put a fraction in simplest form, you will need to do this to the numerator and denominator
a)
subtract both by same number
b)
divide both by the same number
c)
add the same number to both
d)
multiply both by the same number
53.
To put a fraction in simplest form, you will need to do this to the numerator and denominator
a)
subtract both by same number
b)
divide both by the same number
c)
add the same number to both
d)
multiply both by the same number
54.
All even numbers have _____ as a factor.
a)
3
b)
5
c)
2
d)
4
55.

Which fraction represents the simplifed form of :

 510 =??\frac{5}{10}\ =\frac{?}{?}   

a)

 15\frac{1}{5}  

b)

 52\frac{5}{2}  

c)

 12\frac{1}{2}  

d)

 110\frac{1}{10}  

56.

What fraction represents the simplest form of:

 68 = ??\frac{6}{8}\ =\ \frac{?}{?}  

a)

 38\frac{3}{8}  

b)

 34\frac{3}{4}  

c)

 1216\frac{12}{16}  

d)

 24\frac{2}{4}  

57.

What is the simplest form of the fraction:

 48 = ??\frac{4}{8}\ =\ \frac{?}{?}  

a)

 816\frac{8}{16}  

b)

 612\frac{6}{12}  

c)

 24\frac{2}{4}  

d)

 12\frac{1}{2}  

58.

3 sixths – 2 sixths = _______________

a)

1 sixth

b)

1

c)

5 sixths

d)

5 twelfths

59.

Solve

a)

5/9

b)

10/9

c)

4/9

d)

3/9

60.

Solve

a)

1/12

b)

11/12

c)

1 1/12

d)

10/12

61.

Solve

a)

5/10

b)

7/10

c)

1/8

d)

10/8

62.

Solve.

a)

7/5

b)

11/15

c)

3/10

d)

13/10

63.

Solve

a)

7/6

b)

6/9

c)

4/3

d)

6/6

64.

Solve

a)

3/10

b)

4/10

c)

7/10

d)

1 6/10

65.

Solve

a)

3/5

b)

1 2/5

c)

1 3/5

d)

1/5

66.

Solve

a)

1 2/5

b)

2/5

c)

3/5

d)

1/5

67.

Solve

a)

7/8

b)

1 1/8

c)

1/8

d)

0/8

68.

Solve

a)

2/3

b)

3/8

c)

5/7

d)

4/8

69.

The fraction 7/5 is an improper fraction. How would you write that as a mixed number?

a)

7 1/5

b)

2 1/5

c)

1 2/5

d)

5/7

70.

A mixed number can be written as an improper fraction, or a fraction with the parts and wholes combined. How would you write this as an improper fraction? 1 341\ \frac{3}{4}  

a)

7/4

b)

13/4

c)

4/4

d)

1/4

71.

1/8 x 3/4

a)

2/32

b)

3/32

c)

4/32

72.

2/5 x 3/7

a)

6/35

b)

6/30

c)

5/35

73.

3/4 x 2

a)

1 1/2

b)

6/2

c)

3

74.

3/8 x 11

a)

3 1/8

b)

33/8

c)

4 1/8

75.

3/5 x 5/7

a)

15/35

b)

3/7

c)

12/30

76.

2/5 x 5/6

a)

1 1/3

b)

1/3

c)

10/30

77.

The bleachers at a football game are 7/8 full, and 1/2 of the fans in the bleachers are rooting for the home team. What fraction of the bleachers are filled with home-team fans?

a)

5/14

b)

8/16

c)

7/16

78.

Lee is making chocolate chips cookies and the recipe calls for 3/4 cup of chocolate chips. If she wants to make 2/3 of the recipe, what fraction of a cup of chocolate chips will she need?

a)

1/2

b)

1/4

c)

1/3

79.

The table shows the fraction of the votes that each candidate received. If 230 students voted, how many students voted for each candidate?

a)

Nyemi: 128; Luke: 79; Natalie: 13

b)

Nyemi: 136; Luke: 67; Natalie: 24

c)

Nyemi: 138; Luke: 69; Natalie: 23

80.

Alberto rode 5/8 of the water rides at a water park. His sister, Reina, rode half of the rides that Alberto rode. What fraction of the water rides did Reina not ride?

a)

11/16

b)

12/16

c)

13/16

81.
1/4  ÷  1/2
a)
2/6
b)
1/8
c)
3/5
d)
2/4
82.
1/4  ÷  2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
83.
What is the recriprocal of 4/5
a)
4/5
b)
5/4
c)
5/1
d)
1/5
84.
What is another name of flip?
a)
Flip
b)
Reciprocal
85.
Find the reciprocal1/8
a)
8
b)
1/8
86.

What is the reciprocal of the mixed number above?

a)

25/6

b)

6/25

c)

4 6/1

87.
Convert the mixed number to an improper fraction
a)
8/5
b)
7/5
c)
6/5
d)
13/5
88.
Convert the mixed number to an improper fraction
a)
7/2
b)
8/2
c)
9/2
d)
5/2
89.
Which mixed number does the model represent?
a)
1  2/7
b)
1  3/8
c)
1  3/7
d)
1  5/7
90.
Which of the following is an improper fraction?
a)
2/3
b)
3/2
c)
1  2/3
d)
1/3
91.

What fraction is shown in the picture?

a)

50/10

b)

5/100

c)

5/10

92.
Convert into an improper fraction.
a)
28/7
b)
29/4
c)
29/7
d)
7/1
93.
Which mixed number is represented by the model?
a)
3  1/4
b)
3 4/1
c)
3  3/4
d)
4  1/4
94.
Write the improper fraction as a mixed number in simplest form.
7/3 =
a)
21/3
b)
13/7
c)
23/7
d)
14/3
95.

What are your constants in the following algebraic expression?


2x + 4 + x - 5x

a)

x

b)

4

c)

2x

d)

-5

96.

Simplify the algebraic equation:


6n - 7n - 4 + n

a)

4

b)

-4

c)

n + 4

d)

n - 4

97.

Simplify the algebraic equation:


9y - 4 - 11y + 7

a)

20y + 11

b)

-2y - 11

c)

-2y - 3

d)

-2y + 3

98.

Simplify the algebraic equation:


3x + 2 - 10 - 3x

a)

6x - 8

b)

-6x + 8

c)

-6x - 8

d)

-8

99.

Select an equivalent expression for:


4y + y

a)

5y

b)

y + 4y

c)

4y - y

d)

y - 4y

100.

Select an equivalent expression for:


2g - 3 + 11 - 8g

a)

-6g + 8

b)

8 - 6g

c)

6g - 8

d)

-8 + 6g

101.
3 more than x
a)
3x
b)
3 + x
c)
x - 3
102.
g divided by 9
a)
9g
b)
g-9
c)
g/9
d)
9/g
103.
A number less 11
a)
11 - n
b)
n - 11
c)
n/11
d)
11/n
104.
The product of 7 and j..
a)
7j
b)
j+3
c)
j-3
d)
j/3
105.
Five times Mike's age, increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
106.
What are the variables of  
7x + 6y - 9
a)
6,7
b)
9
c)
6y, 7x
d)
x, y
107.
Evaluate expression: 5a + b for a= 6 and b= 3
a)
33
b)
36
c)
30
d)
59
108.
Evaluate the expression:
12r when r =4
a)
124
b)
8
c)
48
d)
16
109.

Nine more than a number

a)

9x

b)

9 - x

c)

9 + x

d)

9 + 9

110.

The difference of five and a number

a)

5 - m

b)

5/m

c)

5 + m

d)

5 - 5

111.

seven divided by a number

a)

7/n

b)

n/7

c)

49/7

d)

n/n

112.

The product of a number and twelve

a)

x/12

b)

x - 12

c)

12 + x

d)

12x

113.

A number increased by five.

a)

5x

b)

x + 5

c)

x + x + x + x + x

d)

5 + 5

114.

Half of a number

a)

x / y

b)

2 / x

c)

2x

d)

x / 2

115.

The sum of six and a number

a)

6 + p

b)

6 - p

c)

p + p

d)

6p

116.

A number decreased by ten

a)

10x

b)

x/10

c)

10 - x

d)

x - 10

117.

Four times a number increased by seven

a)

4 + 7x

b)

4x - 7

c)

4x + 7

d)

4 - 7x

118.

Tracy has 16 oatmeal cookies. She splits them evenly among b bags. Choose the expression that shows how many cookies are in each bag.

a)

b – 16

b)

16

c)

16b

d)

16 ÷ b

119.
8w is another name for
a)
8 times w
b)
w multiplied by 8
c)
the product of 8 and a number
d)
all of the above
120.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
121.
   6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
122.
Factorise 4x + 14
a)
2(2x+7)
b)
4(x+10)
c)
4(x+3)
d)
2(x+12)
123.
Factorise fully: 6x + 18
a)
3(2x + 6)
b)
6(x+3)
c)
2(3x+9)
d)
6(x+12)
124.
Factorsie fully: 20x + 30
a)
10(2x+3)
b)
10(x+3)
c)
5(4x+6)
d)
2(10x+15)
125.
Factorise fully 10x + 15
a)
5(x+3)
b)
2(5x+7)
c)
10(x+5)
d)
5(2x+3)
126.
Factorise fully 8x+32
a)
8(x+4)
b)
4(2x+16)
c)
2(4x+16)
d)
4(2x+8)
127.
Factorise fully: 27x + 45
a)
27(x+18)
b)
3(9x+15)
c)
9(3x+5)
d)
9(3x+36)
128.
Factorise fully: ab + 4b
a)
a(b+4)
b)
b(a+4)
c)
ab(1+4)
d)
b(a+4b)
129.
Factorise 6b + 8
a)
4(2b+2)
b)
2(3b+4)
c)
2(b+4)
d)
4(3b+2)
130.
Factorise fully: 18x + 24
a)
6(2x+4)
b)
2(9x+12)
c)
3(6x+8)
d)
6(3x+4)
131.
Factorise: 3x + 12
a)
3(x+4)
b)
3(x+5)
c)
3(3x + 9)
d)
3(x+9)
132.
Factorise: 4x2 + 8x
a)
4x(x+2)
b)
4(x2+2x)
c)
2x(2x+4)
d)
2(2x2+4)
133.
Factorise: 12x2 + 15x
a)
6x(2x+3)
b)
3(x2+5x)
c)
4x(3x+5)
d)
3x(4x+5)
134.
Factorise: 5x-10
a)
5(x-2)
b)
5(x+2)
c)
5(x-5)
d)
5(x+5)
135.
Factorise: 15y - 5
a)
5(3y+1)
b)
15(y-10)
c)
5(3y-1)
d)
5(y-3)
136.
Factorise fully: 6x2 - 3x
a)
3x(2-x)
b)
3(2x2-x)
c)
3x(2x-1)
d)
6x(x-3)
137.
Factorise: 9x - 12
a)
4(3x - 3)
b)
3(3x - 4)
c)
3x(x - 4)
d)
9(x-3)
138.
Factorise fully: 18 - 6x
a)
3(2x - 3)
b)
3(6 - 2x)
c)
6(3 - x)
d)
6(x - 3)
139.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable