Worksheets7A - Midterm (2018-2019)
Total questions: 135
Worksheet time: 6hrs 38mins
Name
Class
Date
1.
Select the correct statement below
a)
All Natural numbers are Whole Numbers
b)
All Integers are Natural Numbers
c)
-5 is a whole Number
d)
0.25 is a Natural Number
2.
The set of Real Numbers contains
a)
Integers only
b)
Natural number, whole numbers, integers, and rational Numbers
c)
Rational numbers and irrational numbers
d)
Irrational numbers only
3.
Which statement describes an irrational number
a)
It can be written as a fraction
b)
In decimal form, it can be a repeating decimal or a terminating decimal
c)
In decimal form, it can't be a repeating decimal, and it can't be a terminating decimal
d)
It does not occur in decimal form
4.
Which of the following is a rational number?
a)
π
b)
√8
c)
.56565656....
d)
√10
5.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
6.
Which classifications does the number -2 belong to?
a)
Real
b)
Real, Rational, Integer
c)
Real, Rational, Integer, Whole
d)
Irrational
7.
If a number is an integer, it must also be
a)
a natural number
b)
a whole number
c)
a real number
d)
an irrational number
8.
What is the set of numbers that includes fractions?
a)
Whole numbers
b)
Integers
c)
Rational Numbers
d)
Natural Numbers
9.
What is set of numbers that includes all positive and negative whole numbers?
a)
Whole Numbers
b)
Integers
c)
Rational Numbers
d)
Natural Numbers
10.
What is the set of numbers that doesn't include 0?
a)
Whole Numbers
b)
Real Numbers
c)
Irrational Numbers
d)
Natural Numbers
11.
Which decimal comparison is correct?
a)
0.234 > 0.243
b)
0.361 < 0.613
c)
0.581 > 0.851
d)
0.483 < 0.438
12.
45% ___ 4/9
a)
<
b)
>
c)
=
13.
1/8 ___ .125
a)
<
b)
>
c)
=
14.
.75 ___ 6/8
a)
<
b)
>
c)
=
15.
Order 5/8, 0.5, 58.3% from greatest to least.
a)
5/8, 0.5, 58.3%
b)
5/8, 58.3%, 0.5
c)
58.3%, 5/8, 0.5
d)
58.3%, 0.5, 5/8
16.
Arrange in order from Least to Greatest: 1.2, 3/4, 56%
a)
1.2, 3/4, 56%
b)
1.2, 56%, 3/4
c)
56%, 3/4, 1.2
d)
3/4, 1.2, 56%
17.
Order 5/8, 60%, and 0.62 from least to greatest.
a)
0.62, 5/8, 60%
b)
5/8, 0.62, 60%
c)
60%, 5/8, 0.62
d)
60%, 0.62, 5/8
18.
Choose <, >, or = to fill in the circle and create a true statement.
a)
<
b)
>
c)
=
19.
In a survey about favorite lunch foods, 3/8 of those surveyed chose pizza, 0.125 chose hot dogs, 0.1875 chose hamburgers, and 5/16 chose nachos. Which food got the least number of votes?
a)
pizza
b)
nachos
c)
hot dogs
d)
hamburgers
20.
On a math test Jennifer got 78% of the questions correct, Joe got 3/4 of the questions correct, Mary got 0.815 correct, and Sam got 0.83 correct. Order the test results from least to greatest.
a)
Mary, Sam, Jennifer, Joe
b)
Sam, Mary, Jennifer, Joe
c)
Joe, Jennifer, Mary, Sam
d)
Jennifer, Sam, Mary, Joe
21.
Jack got some special dice for his birthday. They have rational numbers like 0.75, 2/3, -1, and 1/4. How many sides have a value less than 1/2?
a)
one
b)
two
c)
three
d)
four
22.
Compare these Integers using the symbols:
< > =
| -13 | ____ | 4 |
< > =
| -13 | ____ | 4 |
a)
<
b)
>
c)
=
23.
Express an integer: a plane descended 3000 ft
a)
3000
b)
300
c)
-300
d)
-3000
24.
Order from least to greatest:
[1, -2, 5, -5, 3, -1]
[1, -2, 5, -5, 3, -1]
a)
-1, 1, -2, 3, 5, -5
b)
1, -1, -2, 3, -5, 5
c)
5, -5, 3, -2, -1, 1
d)
-5, -2, -1, 1, 3, 5
25.
What decimal could fill in the blank so that the numbers are in order from greatest to least?
90%, 3/4, _____, 10%
a)
0.5
b)
1.5
c)
0.9
d)
0.76
26.
Which is GREATER?
27 or 72
27 or 72
a)
27
b)
72
c)
Neither, they are equal
27.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
28.
Simplify (-9)0
a)
-9
b)
-1
c)
1
d)
9
29.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
30.
53⋅56
a)
1018
b)
59
c)
109
d)
259
31.
(-6)2
a)
-12
b)
12
c)
32
d)
36
32.
According to exponent rules, when we multiply same bases, we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
33.
According to exponent rules, when we divide same bases, we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
34.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
35.
2 * 22 *22
a)
24
b)
84
c)
36
d)
25
36.
6r *5r2
a)
30r3
b)
30r2
c)
11r3
d)
11r2
37.
x6 × x3 =
a)
x3
b)
x9
c)
x18
d)
x63
38.
(a5)7 =
a)
a12
b)
a2
c)
a21
d)
a35
39.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
40.
Write 7.18 X 10-8 in standard form.
a)
0.000000718
b)
0.00000718
c)
7.18
d)
0.0000000718
41.
x8 / x2
a)
x4
b)
x16
c)
x-6
d)
x6
42.
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
43.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
44.
Which one of these is in scientific notation?
a)
8.987000
b)
8.98 x 106
c)
80.987 x 10
d)
8.986
45.
(x)2 = 64
What is the value of x?
a)
4
b)
8 and -8
c)
16 and -16
d)
32
46.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
47.
a)
x2.75
b)
x44
c)
x15
d)
x7
48.
b3⋅b4⋅b7⋅b
a)
b13
b)
b14
c)
b15
d)
b84
49.
Write 7.113 x 107 in standard form.
a)
71,130,00
b)
7,113,000
c)
0.0000007113
d)
7,113
50.
Write 7.8 x 10-3 in standard form.
a)
0.0078
b)
7,800
c)
78
d)
0.078
51.
Write 8.73 x 10-4 in standard form.
a)
0.000873
b)
0.0873
c)
87,300
d)
8,730
52.
Write 6,700 in scientific notation.
a)
6.7 x 103
b)
6.7 x10-3
c)
67 x 102
d)
67 x 10-2
53.
Write 52,300,000 in scientific notation.
a)
5.23 x 107
b)
5.23 x 10-7
c)
52.3 x 106
d)
52.3 x 10-6
54.
The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.
a)
hydrogen, carbon, oxygen, silver, gold
b)
hydrogen, oxygen, gold, siver, carbon
c)
carbon, oxygen, silver, gold, hydrogen
d)
gold, oxygen, carbon, silver, hydrogen
55.
Arrange the numbers from least to greatest:
216,000,000 ; 2.2 x 103 ; 3.1 x 107 ; 310,000
216,000,000 ; 2.2 x 103 ; 3.1 x 107 ; 310,000
a)
2.2 x 103 ; 310,000; 3.1 x 107 ; 216,000,000
b)
310,000 ; 2.2 x 103 ; 3.1 x 107; 216,000,000
c)
3.1 x 107 ; 310,000; 2.2 x 103; 216,000,000
d)
2.2 x 103 ; 3.1 x 107 ; 310,000 ; 216,000,000
56.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
57.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
58.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
59.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
60.
Multiply:
(9.4 x 106)(3.2 x 105)
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
61.
Solve:
(6 x 106) / (2 x 103)
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
62.
3(w + 4) = 3w + 12 is an example of...
a)
Inverse Property
b)
Distributive Property
c)
Multiplicative Inverse
d)
Associative Property
63.
(5 + 3) + 2 = 5 + (3 + 2)
a)
Commutative Addition
b)
Commutative Multiplication
c)
Associative Addition
d)
Associative Multiplication
64.
8 + (3 + 4) = 8 + (4 + 3)
a)
Associative Addition
b)
Associative Multiplication
c)
Commutative Addition
d)
Commutative Multiplication
65.
What property allows this statement to be true?
(A + B) + C = A + ( B + C)
(A + B) + C = A + ( B + C)
a)
Associative
b)
Commutative
c)
Distributive
d)
Identity
66.
Find an equivalent expression using the associative property:
7 + ( 8 + 9)
7 + ( 8 + 9)
a)
7 + 8 + 9
b)
8 + ( 7 + 9)
c)
(7 + 8 ) + 9
d)
7 + 10
67.
Commutative Property of Multiplication
a)
8 + 2 = 2 + 8
b)
7 x 1 = 7
c)
7 + 0 = 7
d)
7 x 6 = 6 x 7
68.
Identity Property of Multiplication
a)
1 x 3 = 3
b)
7 x 0 = 0
c)
12 + 0 = 12
d)
2 x 3 = 3 x 2
69.
The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?
a)
3 degrees
b)
12 degrees
c)
11 degrees
d)
10 degrees
70.
The temperature at 6:00 was 9 degrees below zero. The temperature dropped to 11 degrees below zero at 8:00. What is the difference between temperatures?
a)
18 degrees
b)
20 degrees
c)
2 degrees
d)
0 degrees
71.
What is the sum of the absolute value of 5 and the absolute value of -15?
a)
-20
b)
20
c)
10
d)
-10
72.
A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location?
a)
-300
b)
-1300
c)
-3300
d)
300
73.
What is the distance from 10 to -5 on a number line?
a)
-15 spaces
b)
10 spaces
c)
15 spaces
d)
-5 spaces
74.
If it is 85 degrees in California and -4 degrees in Nebraska, how many degrees warmer is it in California?
a)
-89
b)
81
c)
89
d)
-81
75.
Melody had to make a visit to the bank because her account was overdrawn by $32. After making a deposit of $100, Melody was now happy that she had some money. How much money did she have after making the deposit?
a)
$100
b)
-$78
c)
$68
d)
$32
76.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
77.
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
a)
28 feet
b)
-28 feet
c)
52 feet
d)
-52 feet
78.
Solve
a)
2
b)
-2
c)
6
d)
-6
79.
Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6
-2, I8I, 5, I-10I, 6
a)
-2, I8I, 5, I-10I, 6
b)
-2, 5, 6, I8I, I-10I
c)
-2, 5, 6, 8, 10
d)
I-10I, -2, 5, 6. I8I
80.
Which statement is true?
a)
The absolute value of 3 is -3
b)
The opposite of 7 is 7
c)
The absolute value of 5 is equal to the opposite of 5
d)
The opposite of -4 is equal to the absolute value of -4
81.
The ratio of 12 apples to 8 bananas may be written as
a)
8:12
b)
2:3
c)
3:2
d)
16:24
82.
There are 44 collies and 56 poodles. Which is the correct ratio for poodles to total number of dogs?
a)
156:100
b)
44:100
c)
56:100
d)
56
83.
A 5 pound bag of apples costs $8.95. What is the unit price of a pound of apples?
a)
$2.78
b)
$17.9
c)
$1.80
d)
$1.79
84.
A 7-pack of DVDs costs $23.31. What is the unit price?
a)
$3.33 per DVD
b)
$3.03 per DVD
c)
$2.33 per DVD
d)
$3.23 per DVD
85.
Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?
a)
The 12 pack of Coke
b)
The 6 pack of Coke
c)
Neither
d)
They are the same
86.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
87.
A seed company says that 4 out of every 5 of its seeds will grow. If Madi plants 40 of these seeds, then how many seeds is Madi expected to grow? Use an equivalent ratio (proportion) to find the answer.
a)
50
b)
32
c)
10
d)
8
88.
Mike bought 3 tickets to a concert for $75.
How much will 5 tickets cost for the concert Mike is attending?
How much will 5 tickets cost for the concert Mike is attending?
a)
$75
b)
$100
c)
$125
d)
$150
89.
Solve the proportion below:
a)
42
b)
6
c)
2
d)
28
90.
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?
a)
75 Pieces
b)
27-ounces
c)
27 pieces
d)
75-ounces
91.
The 6th grade took a field trip to the movies. The table shows the price of popcorn based on the quantity purchased. How much would it cost for 20 bags of popcorn?
a)
50
b)
55
c)
60
d)
65
92.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
93.
Determine the missing value in the table.
a)
15
b)
3
c)
1/3
d)
9
94.
What is the constant of proportionality?
a)
3
b)
4
c)
2
d)
1
95.
What is the constant of proportionality?
a)
5
b)
1/5
c)
6
d)
1
96.
Which equation matches the graph?
a)
y = 7x
b)
y = 42x
c)
y = 6x
d)
y = 2x
97.
What is the constant of proportionality?
a)
15
b)
5
c)
75
d)
25
98.
What is the constant of proportionality?
a)
3
b)
4
c)
2
d)
5
99.
Which equation matches the table?
a)
y = 11x
b)
y = 10x
c)
y = 22x
d)
y = 12x
100.
Which equation matches the table?
a)
y = 24x
b)
y = 34x
c)
y = 44x
d)
y = 14x
101.
What makes a graph proportional?
a)
Linear (straight line)
b)
The line goes through the origin
c)
Curvy line
d)
Linear and the line goes through the origin
102.
Is this graph proportional?
a)
Yes
b)
No
103.
Is this graph proportional?
a)
Yes
b)
No
104.
Is this table proportional?
a)
Yes
b)
No
105.
Write an equation for this situation.
a)
y = 9.75x
b)
y = 19x
c)
y = 19.25x
d)
y = 9.5x
106.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours. What is the constant of proportionality?
a)
$37 per hour
b)
$64.75 per hour
c)
$9.25 per hour
d)
$18.50 per hour
107.
A skateboard is on sale with a 25% discount. The original price was $120.
Find the sale price.
Find the sale price.
a)
60
b)
90
c)
110
d)
44
108.
A pair of jeans costs $34.00. You have a coupon for 30% off the regular price. What is the new price of the jeans after you use your coupon?
a)
$10.20
b)
$23.80
c)
$31.00
d)
$44.20
109.
A student earned a grade of 80% on a math test that had 30 problems. How many problems on this test did the student answer correctly?
a)
17 problems
b)
24 problems
c)
20 problems
d)
18 problems
110.
A pair of sandals costs $10.50. There is a 7% sales tax. What is the total cost of the sandals?
a)
$.74
b)
$10.50
c)
$12.78
d)
$11.24
111.
75% of what number is 15?
a)
11
b)
45
c)
20
d)
5
112.
4 is what percent of 20?
a)
20%
b)
80%
c)
5%
d)
4%
113.
What is 5% of 220?
a)
44
b)
110
c)
440
d)
11
114.
80% of what number is 32?
a)
40
b)
250
c)
26
d)
4
115.
75% of what number is 15?
a)
11
b)
45
c)
20
d)
5
116.
What is 64% of 75?
a)
117
b)
48
c)
85
d)
56
117.
Dr. Hall files 320 insurance claims every month. If 5% of those claims are rejected, how many claims are rejected?
a)
15
b)
64
c)
16
d)
56
118.
Andrea scored 19 correct out of 20 questions on a test. What percent did she earn?
a)
19%
b)
88%
c)
90%
d)
95%
119.
Joanna went to dinner with some friends, and their total bill was $115. If they want to tip 15%, how much will the tip be?
a)
$0.15
b)
$1.15
c)
$15.00
d)
$17.25
120.
A television regularly priced at $3,200 is on sale for $2,400. If Riley bought the tv, what was the percent off?
a)
25% off
b)
40% off
c)
50% off
d)
75% off
121.
Cadence sold souvenirs at a concert. If she sold 40 CDs, 25 t-shirts, and 50 posters, what percent of the people bought posters?
a)
about 25%
b)
about 38%
c)
about 43%
d)
about 52%
122.
After dining at your favorite restaurant, your bill arrives for $44.97. As usual, the service was excellent, and the food was delicious! Estimate a 20% tip as well as the total cost of your meal. (Hint: pay attention to the question being asked!)
a)
$9; $55
b)
$4; $48
c)
$5; $50
d)
$20; $65
123.
There are 32 students in a class. Nine of those students are girls. What percent are boys? (READ CAREFULLY FOR WHAT YOU ARE BEING ASKED TO FINE, and round to the nearest 10th)
a)
71.9%
b)
73.5%
c)
32%
d)
32.9%
124.
Sarah’s Fitbit tells you that you have completed 73% of your goal for number of steps taken today. If you have taken 5,840 steps, what is your goal for the day?
a)
4263
b)
5867
c)
8000
d)
7830
125.
In 1999, the price of unleaded fuel was $1.09. In 2015, the price of unleaded fuel is $1.89. What is the percent change?
a)
173% increase
b)
73% increase
c)
73% decrease
d)
27% increase
126.
Mr. Tjeerdsma’s class and Mr. Fynaardt's class have each set a goal to raise $400 for the middle school sound system. Mr. Tjeerdsma’s class has raised 42% of its goal while Mr. Fynaardt's class has raised $165. Whose class is closer to reaching its goal?
a)
Mr. Tjeerdsma
b)
Mr. Fynaardt
c)
They're tied.
d)
I have no clue.
127.
You are shopping for a new shirt, and you have narrowed your decision down to two. Both shirts are $35, and both are on sale. Shirt A is 25% off. Shirt B is $10 off. Which shirt is the better deal?
a)
Shirt A
b)
Shirt B
c)
The discount is the same.
d)
Well, it really depends on which one she likes more.
128.
You want to buy a new bike. You have $150 to spend. The bike you have picked out is $139. If tax is 8%, can you afford the bike you have chosen?
a)
Yes
b)
No
c)
Doesn't matter. He should just take it and ride away before he gets caught.
129.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
130.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
131.
Find missing side
a)
5
b)
7
c)
9
d)
11
132.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
133.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
134.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
135.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
100 %
