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Math Review Quarter 1

Total questions: 160

Worksheet time: 4hrs 49mins

Name
Class
Date
1.

Which equation is true?

a)

9=32\sqrt{9} = 3^2

b)

196=14\sqrt{196} = 14

c)

225=25\sqrt{225} = 25

d)

324=162\sqrt{324} = 162

2.

What is the square root of 49?

a)

7

b)

14

c)

24.5

d)

98

3.

Select all of the numbers that are perfect squares.

a)

1

b)

9

c)

289

d)

100

e)

225

4.

Which model represents the expression 400\sqrt{400} ?

a)

A

b)

B

c)

C

d)

D

5.
Question Image

Match the solution to each of the square roots. 36\sqrt{36} , 400\sqrt{400} , 289\sqrt{289}

a)

20

1.

400

b)

17

2.

289

c)

6

3.

36

6.

Which number is equivalent to 121\sqrt{121} ?

a)

12

b)

11

c)

10

d)

13

7.

Identify the side length of the square given the area. A = 81

4 lines
8.

Which of the following values is the square root of 256?

a)

11

b)

16

c)

12

d)

17

9.

If you had a square garden with an area of 16 square feet, what would be the length, in feet, of one side of the garden?

a)

2 feet

b)

3 feet

c)

4 feet

d)

5 feet

10.

Complete the statement to reflect the model.

a)

5² = 10

b)

5² = 5²

c)

225 = 5

d)

25 = 5²

11.

Which number would make the statement true? 1/3 < (a)   < 46%

Choose from the below words

0.25

0.04

0.03

0.40

12.

Who received the lowest percentage?

a)

Kathy

b)

Fred

c)

Alicia

d)

George

13.

Which correctly describes 0.75?

a)

Less than 1%

b)

Greater than 100%

c)

Between 10% and 100%

d)

Between 1% and 10%

14.

Which of the following is true? A. 0.6 = 6% B. 0.001 = 0.1% C. 0.63 = 6.3% D. 0.05 = 50%

a)

0.6 = 6%

b)

0.001 = 0.1%

c)

0.63 = 6.3%

d)

0.05 = 50%

15.

Which list below shows the countries in ascending order according to the portion of the population under age 15?

a)

A. Uganda, Chad, Ethiopia, Benin

b)

B. Uganda, Benin, Ethiopia, Chad

c)

C. Benin, Chad, Ethiopia, Uganda

d)

D. Benin, Ethiopia, Chad, Uganda

16.

Arrange the cities from the greatest to least temperatures based on the low temperatures on a certain day. City - Temperature Juneau, Alaska, USA -8°F; Syracuse, New York, USA 12°F; Waynesboro, Virginia, USA 33°F; Ottawa, Ontario, Canada -2°F

a)

Waynesboro, Virginia, USA; Syracuse, New York, USA; Ottawa, Ontario, Canada; Juneau, Alaska, USA

b)

Syracuse, New York, USA; Waynesboro, Virginia, USA; Juneau, Alaska, USA; Ottawa, Ontario, Canada

c)

Ottawa, Ontario, Canada; Juneau, Alaska, USA; Syracuse, New York, USA; Waynesboro, Virginia, USA

d)

Juneau, Alaska, USA; Ottawa, Ontario, Canada; Syracuse, New York, USA; Waynesboro, Virginia, USA

17.

Place the numbers in order from least to greatest. 2.4, 5231\frac{52}{31} , 30%, 2572\frac{5}{7}

a)

30%, 5231\frac{52}{31} , 2.4, 2572\frac{5}{7}

b)

30%, 2.4, 5231\frac{52}{31} , 2572\frac{5}{7}

c)

2.4, 30%, 5231\frac{52}{31} , 2572\frac{5}{7}

d)

5231\frac{52}{31} , 30%, 2.4, 2572\frac{5}{7}

18.

Which of the following shows the numbers listed in descending order?

a)

0.15, 16%, 13-\frac{1}{3} , -0.35

b)

16%, 0.15, 13-\frac{1}{3} , -0.35

c)

-0.35, 13-\frac{1}{3} , 0.15, 16%

d)

16%, 0.15, -0.35, 13-\frac{1}{3}

19.

Select all of the numbers that would need a negative exponent when written in scientific notation.

a)

0.001

b)

0.1

c)

0.0001

d)

0.01

e)

1,000

20.

Identify values that are equivalent.

a)

0.001

1.

11000\frac{1}{1000}

b)

0.0001

2.

1104\frac{1}{10^4}

c)

1103\frac{1}{10^3}

3.

0.001

d)

1104\frac{1}{10^4}

4.

0.0001

e)

10510^{-5}

5.

0.00001

21.

Which exponent correctly completes the equation shown? 0.00001 = 10?10^?

a)

A. 4

b)

B. -5

c)

C. -4

d)

D. 5

22.

Which pair has two numbers that are each equal to 1×1031 \times 10^{-3} ?

a)

A. 13000\frac{1}{3000} , 0.003

b)

B. 11000\frac{1}{1000} , 0.001

c)

C. 11000-\frac{1}{1000} , -0.001

d)

D. 13000-\frac{1}{3000} , -0.003

23.

While researching the population in the state of Virginia, Sarah learned there were approximately 7.4 x 106 people according to the latest census. How is this number expressed using whole numbers?

a)

74,000,000

b)

747,474

c)

7,400,000

d)

7.400.000

24.

The diameter of a red blood cell is 0.0003 inches. Which expression represents this number written in scientific notation?

a)

0.3×1030.3 \times 10^{-3}

b)

0.03×1020.03 \times 10^{-2}

c)

3×1043 \times 10^4

d)

3×1043 \times 10^{-4}

25.

Identify all numbers that have a value greater than 4.

a)

0.3 x 101

b)

6.7x1016.7 x 10^1

c)

4.6x1014.6 x 10^{-1}

d)

4.1x1004.1 x 10^0

e)

3.2x1023.2 x 10^2

26.

Jimmy was looking at a map with the following scale: 1 inch = 30 miles. Jimmy measured 6 1/4 inches between Charlottesville and Virginia Beach on the map. What is the best estimate for the amount of miles between the two cities?

a)

180 miles

b)

210 miles

c)

36 miles

d)

5 miles

27.

Bo bought 28 plants for the school garden. If 1/4 of the plants were roses and 3/7 were sunflowers, how many plants were tulips?

a)

19

b)

7

c)

9

d)

12

28.

Maria's mom sent her to the grocery store with $78, she is allowed to spend 15% of the budget on junk food. How much money can she spend on junk food?

a)

$11.07

b)

$11.70

c)

$89.70

d)

$93.00

29.

Every week Mary swims 2.5 miles on Monday, 3 miles on Wednesday, and 4.4 miles on Friday. How many miles will Mary swim in four weeks?

a)

A. 13.9 miles

b)

B. 9.9 miles

c)

C. 39.6 miles

d)

D. 27.6 miles

30.

Jim and Sasha went to a restaurant to eat lunch. Jim paid 3/5 of the total cost of lunch, and Sasha paid the rest. If the total cost was $20.55, how much did Sasha pay?

a)

$8.22

b)

$12.33

c)

$10.27

d)

$9.18

31.

The length of a piece of cloth is 14 2/5 feet. Kyle cuts 10 pieces off the cloth. The length of each piece he cuts is 0.75 feet. What is the length of the piece of cloth that is left?

a)

6.9 feet

b)

7.9 feet

c)

5.9 feet

d)

4.9 feet

32.

What is the square root of √36?

a)

6

b)

9

c)

4

d)

12

33.

What is the square root of 64?

a)

4

b)

2.828...

c)

8

d)

12

34.

What is the square root of 81?

a)

11

b)

10

c)

9

d)

8

35.

If a square has an area of 49 square meters, what is the length of one side?

a)

5 meters

b)

6 meters

c)

7 meters

d)

8 meters

36.

Which of the following numbers is a perfect square?

a)

35

b)

25

c)

20

d)

30

37.

What is the value of 144\sqrt{144} ?

a)

12

b)

10

c)

16

d)

14

38.

Convert the number 0.00045 to scientific notation.

a)

4.5×1054.5 \times 10^{-5}

b)

4.5×1064.5 \times 10^{-6}

c)

4.5×1034.5 \times 10^{-3}

d)

4.5×1044.5 \times 10^{-4}

39.

Which of the following numbers is a perfect square?

a)

50

b)

64

c)

90

d)

72

40.

What is the square root of √36?

a)

6

b)

9

c)

4

d)

12

41.

What is the value of 225\sqrt{225} ?

a)

15

b)

14

c)

13

d)

16

42.

Convert the number 0.00078 to scientific notation.

a)

7.8×1037.8 \times 10^{-3}

b)

7.8×1067.8 \times 10^{-6}

c)

7.8×1057.8 \times 10^{-5}

d)

7.8×1047.8 \times 10^{-4}

43.

If a square has an area of 81 square meters, what is the length of one side?

a)

10 meters

b)

11 meters

c)

9 meters

d)

8 meters

44.

If 31 = 3, 32 = 9, and 33 = 27, what is 35 ?

a)

81

b)

243

c)

15

d)

35

45.

50 is equivalent to which of the following?

a)

1

b)

5

c)

40

d)

5÷5

e)

5x0

46.

105 = 100,000

a)

TRUE

b)

FALSE

47.

What is the value of 53

a)

53

b)

25

c)

125

d)

15

48.
What is 10-1 in standard notation?
a)
.1
b)
.01
c)
1
d)
10
49.
What is 104 in standard notation?
a)
1,000
b)
10,000
c)
.0001
d)
.00001
50.
What is 10-4 in standard notation?
a)
.001
b)
.0001
c)
10,000
d)
100,000
51.
Express the following number as powers of ten:
10
a)
100
b)
101
c)
10-0
d)
10-1
52.
Express the following numbers as powers of ten:
100,000
a)
104
b)
105
c)
106
d)
107
53.
Express the following number as powers of ten:
0.001
a)
103
b)
104
c)
10-2
d)
10-3
54.
Express the following number as powers of ten:
1
a)
101
b)
10-1
c)
100
d)
It cannot be expressed in powers of ten.
55.
What is the value of 105?
a)
10,000
b)
100,000
c)
1,000,000
d)
0.000001
56.
What is the fraction form of 10-4?
a)
1/1,000
b)
1/10,000
c)
1/100,000
d)
4/1,000
57.
Which of the following is true?
a)
10-6 = 106
b)
10-1 < 10-3
c)
106 > 1,000,000
d)
10-2 > 0.001
58.

  10510^{-5}  is equal to

a)

100,000

b)

.00001

c)

1/1000

d)

1/10 * 1/10 * 1/10 *1/10

59.

1100,000\frac{1}{100,000}  is equivalent to 

a)

10410^{-4}  

b)

.0001

c)

10510^{-5}  

d)

.000001

60.

110\frac{1}{10}  in decimal form is

a)

.001

b)

10210^2  

c)

10110^{-1}  

d)

0.1

61.
a)
Row A
b)
Row B
c)
Row C
d)
Row D
62.

Which exponent will make this statement true?

10? = 0.000001

a)

-5

b)

-6

c)

7

d)

-7

63.

Which expression is equivalent to 10-3 ?

a)
b)
c)
d)
64.
Which is equivalent to 10-3?
a)
.0001
b)
1000
c)
1/1000
d)
.01
65.

Which of the following numbers match 10210^{-2}

a)

10×1010\times10

b)

110×110×110\frac{1}{10}\times\frac{1}{10}\times\frac{1}{10}

c)

1102\frac{1}{10^2}

d)

1100\frac{1}{100}

e)

110×10\frac{1}{10\times10}

66.

If 107 = 1,000,000 then what does 10-7 equal?

a)

-1,000,000

b)

0.00000001

c)

0.0000001

d)

-0.0000001

67.
How would you write 5.6 x 10-3 in standard form?
a)
5,600
b)
-5,600
c)
0.00056
d)
0.0056
68.
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
69.
Which of the following numbers is the SMALLEST?
a)
8.7 x 103
b)
3 x 104
c)
1.3 x 108
d)
9 x 102
70.
The Statue of Liberty weighs 450,000 pounds. What is this number written in scientific notation?
a)
4.5 x 10-5
b)
45 x 10-4
c)
45 x 104
d)
4.5 x 105
71.
l-6l____6
a)
<
b)
>
c)
=
72.
Find the Absolute Value of -18
a)
18
b)
-18
c)
36
d)
-36
73.
Solve
a)
2
b)
-2
c)
6
d)
-6
74.
Find the absolute value
a)
-43
b)
43
c)
0
d)
-1
75.
Which is a true statement?
a)
10-3 = 0.001
b)
10-5 = 0.0001
c)
10-1 = 0.01
d)
10-2 = 0.001
76.
1/100,000 is equivalent to 
a)
10-4
b)
10-5
c)
104
d)
105
77.
What is 10-2  written as a fraction?
a)
1/100
b)
1/1000
c)
1/10
d)
1/200
78.
 What is 10-3 written as a decimal?
a)
0.01
b)
0.001
c)
0.0001
d)
0.003
79.
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
80.
-10(4)
a)
40
b)
-14
c)
-40
d)
14
81.

-5 x -8

a)

-40

b)

-13

c)

-45

d)

40

82.
-20+(-11)
a)
31
b)
9
c)
-9
d)
-31
83.
 18 - (-4)
a)
-22
b)
4
c)
22
d)
-4
84.
-10+4
a)
-14
b)
14
c)
-6
d)
6
85.
√225
a)
1
13
b)
16
c)
18
d)
15
86.
√289
a)
15
b)
17
c)
14
d)
13
87.
√361
a)
18
b)
19
c)
16
d)
17
88.
√121
a)
12
b)
10
c)
11
d)
3
89.
What is the square root of 144?
a)
4
b)
12
c)
16
d)
32
90.
72
a)
50
b)
49
c)
14
d)
48
91.
142
a)
169
b)
196
c)
28
d)
144
92.
162
a)
256
b)
289
c)
396
d)
324
93.
4
a)
Is a perfect square.
b)
Is not a perfect square.
94.
Order the following from least to greatest.  
1/2,   2%,    2.1 x 10-2,      0.20
a)
2%, 2.1 x 10-2, 1/2, 0.20
b)
2%, 2.1 x 10-2, 0.20, 1/2
c)
0.20, 1/2, 2%, 2.1 x 10-2
d)
2.1 x 10-2, 1/2, 0.20, 2%
95.
Which list is in order from least to greatest?
a)
2/3 , 1/4 , 29% , 0.06
b)
2/3 , 29% , 1/4 , 0.06
c)
0.06 , 1/4 , 29% , 2/3
d)
1/4 , 2/3 , 0.06 , 29%
96.
Which value is the largest?
a)
2/3
b)
67%
c)
7 x 10-1
d)
0.098
97.

5(10)5-\left(-10\right)  Evaluate the expression.



(a)  

98.

3+5+9-3+5+9  Evaluate the expression.



(a)  

99.

Tim's bank account had $150. He then withdrew (took out) $175 from his account. What is Tim's account balance now?

a)

$25

b)

$0

c)

-$25

d)

$325

100.

Multiply.
5(9)5\left(-9\right)  




(a)  

101.

Convert 34\frac{3}{4} to a decimal.

a)
0.75
b)
0.33
c)
1.25
d)
0.5
102.

Convert 35\frac{3}{5} to a decimal

a)
0.6
b)
0.3
c)
0.75
d)
0.5
103.

Convert 58\frac{5}{8} to a decimal.

a)
0.625
b)
0.5
c)
0.8
d)
0.75
104.
What is the total cost of admission for 4 children, 2 adults, and 3 seniors?
a)
$88
b)
$117
c)
$104
d)
$125
105.
√361
a)
18
b)
19
c)
16
d)
17
106.
√289
a)
15
b)
17
c)
14
d)
13
107.
64 ÷ (-8)
a)
8
b)
-8
c)
-9
d)
-7
108.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
109.
Which has the same absolute value as -55?
a)
0
b)
-1
c)
1
d)
55
110.

Which is the greatest?

a)

l -2 l

b)

l 3 l

c)

l -4 l

d)

l -5 l

111.

How would you write 0.0005 in scientific notation?

a)

5 x 104

b)

5 x 10-4

c)

5 x 10-3

d)

.5 x 103

e)

5 x 103

112.

How do you write

8.317 x 106

in standard form?

a)

8,371,000

b)

83,170,000

c)

837,100

d)

8,317,000

113.
Express the following in scientific notation:
.000045
a)
4.5 x 10-5
b)
45 x 10-6
c)
4.5 x105
d)
45 x 106
114.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
115.
Arrange the numbers from least to greatest:
216,000,000 ; 2.2 x 103 ; 3.1 x 107 ; 310,000
a)
2.2 x 10; 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
116.
Express the following number as powers of ten:
10
a)
100
b)
101
c)
10-0
d)
10-1
117.
Express the following numbers as powers of ten:
100,000
a)
104
b)
105
c)
106
d)
107
118.
Which of the following is true?
a)
10-6 = 106
b)
10-1 < 10-3
c)
106 > 1,000,000
d)
10-2 > 0.001
119.
Which list is in order from least to greatest?
a)
2/3 , 1/4 , 29% , 0.06
b)
2/3 , 29% , 1/4 , 0.06
c)
0.06 , 1/4 , 29% , 2/3
d)
1/4 , 2/3 , 0.06 , 29%
120.
Order the following from least to greatest.  
1/2,   2%,    2.1 x 10-2,      0.20
a)
2%, 2.1 x 10-2, 1/2, 0.20
b)
2%, 2.1 x 10-2, 0.20, 1/2
c)
0.20, 1/2, 2%, 2.1 x 10-2
d)
2.1 x 10-2, 1/2, 0.20, 2%
121.
Which is equivalent to 10-1 ?
a)
0.001
b)
0.01
c)
0.1
d)
1
122.
1/100,000 is equivalent to 
a)
10-4
b)
10-5
c)
104
d)
105
123.
How many zeros will 10-8 have as a decimal? 
a)
7
b)
8
c)
9
d)
6
124.
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
125.

Which of the following is the largest number?
78  ,  0.675  ,  87.05%\frac{7}{8}\ \ ,\ \ 0.675\ \ ,\ \ 87.05\%

a)

78\frac{7}{8}

b)

0.8750.875

c)

87.5%87.5\%

126.

Select the correct comparison: 0.6 ___ 3/5

a)

<

b)

>

c)

=

127.
Hunter finished 3/8 of his homework before supper. Macy finished 2/3 of her homework before supper. Which statement correctly compares the fractions?
a)
3/8 < 2/3
b)
3/8 > 2/3
c)
3/8 =  2/3
d)
2/3 < 3/8
128.
James measured the lengths of his five favorite books in inches. Which list shows the lengths in order from least to greatest? 
a)
8.25 in., 8.52 in., 8.45 in., 8.54., 8.24.,
b)
8.24 in., 8.25 in., 8.45 in., 8.52., 8.54 in.
c)
8.54 in., 8.52 in., 8.45 in., 8.25 in., 8.24 in.
d)
8.45 in., 8.54 in., 8.25 in., 8.52 in., 8.24 in. 
129.

Which of the statements is true?

a)

0.45<45%0.45<45\%

b)

0.66<130.66<\frac{1}{3}

c)

85 %>2385\ \%>\frac{2}{3}

d)

12>55%\frac{1}{2}>55\%

130.

Which shows three equivalent numbers?

a)

40%, 25, 0.440\%,\ \frac{2}{5},\ 0.4

b)

7, 7%, 71007,\ 7\%,\ \frac{7}{100}

c)

35, 0.66, 66%\frac{3}{5},\ 0.66,\ 66\%

d)

0.15, 15, 15%0.15,\ \frac{1}{5},\ 15\%

131.

Which number is the smallest?


19  ,   0.1    ,  212\frac{1}{9}\ \ ,\ \ \ -0.1\ \ \ \ ,\ \ -\frac{2}{12}  

a)

19\frac{1}{9}  

b)

0.1-0.1  

c)

212-\frac{2}{12}  

132.

Which number is the greatest? 

54   ,  1825  ,    1.3\frac{5}{4}\ \ \ ,\ \ 1\frac{8}{25}\ \ ,\ \ \ \ 1.3  

a)

54\frac{5}{4}  

b)

18251\frac{8}{25}  

c)

1.31.3  

133.

Which of the following inequalities are correct?

a)

27<37-\frac{2}{7}<-\frac{3}{7}

b)

0>370>-\frac{3}{7}

c)

37<27-\frac{3}{7}<-\frac{2}{7}

134.
Put the following in Descending (greatest to least) order:
.25, 1/3, 30%
a)
30%, .25, 1/3
b)
1/3, 30%, .25
c)
30%, 1/3, .25
d)
.25, 30%, 1/3
135.
Which symbol makes the statement true?
a)
<
b)
>
c)
=
136.
Choose <, >, or = to fill in the circle and create a true statement.
a)
<
b)
>
c)
=
137.
Which symbol makes the statement true?
a)
<
b)
>
c)
=
138.
Put the following in order LEAST to GREATEST:
125%, 5/3, 12.4
a)
5/3, 12.4, 125%
b)
12.4, 5/3, 125%
c)
125%, 5/3, 12.4
d)
125%, 12.4, 5/3
139.
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
140.
-4 + (-6)
a)
10
b)
-10
c)
2
d)
-2
141.
-4 + (-6)
a)
10
b)
-10
c)
2
d)
-2
142.
13 + (-21) + 16
a)
8
b)
-8
c)
-24
d)
24
143.
-5 + 12
a)
-17
b)
17
c)
7
d)
-7
144.
22 + (-14) + (-35)
a)
-71
b)
-27
c)
27
d)
1
145.
-13 + 9
a)
4
b)
-4
c)
-22
d)
22
146.
18 + (-18)
a)
36
b)
-36
c)
0
d)
-0
147.
-13 + 27 + (-18)
a)
-4
b)
4
c)
22
d)
-22
148.
-10 + (-15)
a)
-5
b)
5
c)
25
d)
-25
149.
-19 + 26 + 14
a)
21
b)
-21
c)
14
d)
-7
150.
14 + (-5)
a)
-19
b)
19
c)
9
d)
-9
151.
-32 + (-17) + 42
a)
7
b)
-7
c)
27
d)
-27
152.
0 + (-11)
a)
11
b)
-11
c)
0
d)
-0
153.
9 + 6 + (-6)
a)
-12
b)
21
c)
-9
d)
9
154.
6 + (-9) +14
a)
-11
b)
1
c)
11
d)
-1
155.
-12 + 25 + (-15)
a)
2
b)
-2
c)
-28
d)
13
156.
-3 + 13
a)
-16
b)
16
c)
-10
d)
10
157.
7 + (12) + (-7)
a)
12
b)
-12
c)
-26
d)
26
158.
-41 + (-15) + (-29)
a)
-14
b)
-3
c)
-85
d)
-55
159.
-25 + -9
a)
-16
b)
16
c)
-34
d)
34
160.
30 + (-9) +1
a)
22
b)
38
c)
20
d)
-20