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Worksheets

NWEA Math Rit 221-230

Total questions: 123

Worksheet time: 5hrs 15mins

Name
Class
Date
1.

Which decimal does point M represent on the number line?

a)

0.7

b)

0.6

c)

0.5

d)

1.2

2.

What is decimal that represents letter L?

a)

4.65

b)

4.7

c)

4.55

d)

4.80

3.

Which number line represents 48100\frac{48}{100}  ?

a)
b)
c)
4.
 263.709
Which number is in the hundredths place?
a)

2

b)
9
c)
0
d)
7
5.
 0.7129
Which number is in the tenths place?
a)
9
b)
2
c)
7
d)
1
6.
57.319
Which number is in the tenths place?
a)
7
b)
9
c)
3
d)
5
7.

What is the value of 0.07 compared to 0.003?

a)

0.07 < 0.003

b)

0.07 = 0.003

c)

0.07 > 0.003

d)

0.07 <= 0.003

8.

Compare using the symbols >, <, =.

0.008 __ 0.3

a)

0.008 < 0.3

b)

0.008 > 0.3

c)

0.008 = 0.3

9.

Compare using the symbols >, <, =.

56.9 __ 56.724

a)

56.9 < 56.724

b)

56.9 > 56.724

c)

56.9 = 56.724

10.

Which decimal is less than 0.35?

a)

0.5

b)

0.29

c)

0.36

d)

0.53

11.

Which of the following decimals is greater than 0.07 but less than 0.3?

a)

0.02

b)

0.34

c)

0.27

d)

0.73

12.

Which decimal is less than 0.75?

a)

0.9

b)

0.94

c)

0.80

d)

0.7

13.
Order the following decimals from least to greatest
0.54  0.5   0.85   0.8 
a)
0.5  0.54  0.8  0.85
b)
0.54  0.5  0.8  0.85
c)
0.85  0.8  0.5  0.54
d)
0.8  0.5  0.85  0.54
14.
Which group of numbers is in order from LEAST to GREATEST?
a)
0.022  0.202  0.020
b)
0.202  0.022  0.020
c)
0.020  0.202  0.022
d)
0.020  0.022  0.202
15.

Chase ordered four numbers from greatest to least. Which correctly shows these numbers?

a)

3.109 > 3.098 > 3.192 > 3.186

b)

3.098 > 3.109 > 3.186 > 3.192

c)

3.192 > 3.109 > 3.186 > 3.098

d)

3.192 > 3.186 > 3.109 > 3.098

16.
What is the absolute value of |-26|.
a)
26
b)
-26
c)
0
d)
-20
17.
Evaluate the expression.
|1 - 5|
a)
4
b)
-4
c)
-6
d)
6
18.

|45 − 26| − |−10|

a)

9

b)

-9

c)

29

d)

-29

19.

9/20 is ________ 0.32

a)

< less than

b)

> greater than

c)

= equal to

20.

Compare the following numbers using <, >, =


0.386 ___ 38%

a)

<

b)

>

c)

=

21.
Compare 2/5 to 0.2
a)
<
b)
>
c)
=
22.

12           910-\frac{1}{2}\ \ \ \ \ \ \ \ \ \ \ -\frac{9}{10}  

Use a number line to compare the two numbers.

Use < , > , or = .

a)

<

b)

>

c)

=

23.

Use the number line.

Reorder the following numbers from LEAST to GREATEST.

a)

134-1\frac{3}{4}  

b)

1 121\ \frac{1}{2}  

c)

14-\frac{1}{4}  

d)

34\frac{3}{4}  

1)
2)
3)
4)
24.

Use the number line.

Reorder the following numbers from GREATEST to LEAST.

a)

1 251\ \frac{2}{5}  

b)

45\frac{4}{5}  

c)

15-\frac{1}{5}  

d)

2-2  

1)
2)
3)
4)
25.

Which decimal does point M represent on the number line?

a)

0.7

b)

0.6

c)

0.5

d)

1.2

26.

What is decimal that represents letter L?

a)

4.65

b)

4.7

c)

4.55

d)

4.80

27.
What decimal is represented at point B?
a)
0.4
b)
0.5
c)
4
d)
0.04
28.

What mixed number best represents the model?

a)

1 12\frac{1}{2}

b)

1 13\frac{1}{3}

c)

1 14\frac{1}{4}

d)

2 12\frac{1}{2}

29.

What mixed number best represents the model?

a)

1 12\frac{1}{2}

b)

1 13\frac{1}{3}

c)

2 12\frac{1}{2}

d)

2 13\frac{1}{3}

30.

What mixed number best represents the model?

a)

1 13\frac{1}{3}

b)

1 12\frac{1}{2}

c)

1 23\frac{2}{3}

d)

2 13\frac{1}{3}

31.

These four numbers are plotted on a number line. Which is the correct ordering on the number line, from left to right?

a)
b)
c)
d)
32.

Which graph correctly shows all the temperatures that are warmer than -2 degrees Celsius?

a)
b)
c)
d)
33.

Which number line shows -1/4 and its opposite?

a)
b)
c)
d)
34.
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
35.
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
36.

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  

37.
Compare these Integers using the symbols:
<  >   =
-11  ____  0
a)
<
b)
>
c)
=
38.
Compare these Integers using the symbols:
<  >   =
-5  ____  -7
a)
<
b)
>
c)
=
39.
Compare these Integers using the symbols:
<  >   =
3  ____  -6
a)
<
b)
>
c)
=
40.

Order from least to greatest:

10, -5, 3, 16, -1, 0, 1

a)

-1, -5, 0, 1, 3, 10, 16

b)

16, 10, 3, 1, 0, -1, -5

c)

-5, -1, 0, 1, 3, 10, 16

d)

0, -1, 1, 3, -5, 10, 16

41.

Order from least to greatest:

-2, 4, 23, -1, 5, -3, 6

a)

-3, -2, -1, 4, 5, 6, 23

b)

23, 5, -1, -3, -2, 4, 6

c)

-1, -2, -3, 4, 5, 6, 23

d)

4, 5, 6, 23, -1, -2, -3

42.
Which of the following are arranged from least to greatest?
a)
-4, -6, 2, 4
b)
-8, -5, -3, -1
c)
2, 0, 1, 3, 5
d)
-8, -1, 3, 7, 5
43.

These four numbers are plotted on a number line. Which is the correct ordering on the number line, from left to right?

a)
b)
c)
d)
44.

Which of the following shows the numbers in order from least to greatest?

a)
b)
c)
d)
45.
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. 
46.

What decimal is equivalent to

316\frac{3}{16}  ?

a)

0.01875

b)

0.01895

c)

0.1875

d)

0.1895

47.

Which choice is equivalent to

1645\frac{16}{45}  ?

a)

0.320.\overline{32}  

b)

0.3350.3\overline{35}  

c)

0.350.\overline{35}  

d)

0.350.3\overline{5}  

48.

Which value is equivalent to

1781\frac{7}{8}  ?

a)

0.1875

b)

0.857

c)

1.087

d)

1.875

49.

56 ÷ 12 =\frac{5}{6}\ \div\ \frac{1}{2}\ =  

50.

78 ÷ 23 =\frac{7}{8}\ \div\ \frac{2}{3}\ =  

51.

910 ÷ 34 =\frac{9}{10}\ \div\ \frac{3}{4}\ =  

52.

Classify the following:
64\sqrt{64}  

a)

Rational

b)

Irrational 

c)

Neither 

d)

Both 

53.

Classify the following:

34\frac{3}{4}  

a)

Rational

b)

Irrational

c)

Neither

d)

Both 

54.

Classify the following:

2\sqrt{2}  

a)

Rational

b)

Irrational

c)

Both

d)

Um... 

55.
The √98 falls between what two numbers on a number line?
a)
10 and 11
b)
11 and 12
c)
9 and 10
d)
90 and 100
56.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
57.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
58.

How would you write 4.3756 x 10in standard form?

a)

4,3756

b)

43,756

c)

437,560,000

d)

0.00043756

59.

Convert to standard form: 2.4 x 10-3 

a)

0.24

b)

2400

c)

0.024

d)

0.0024

60.

How do you write 8.317 x 106 in standard form?

a)

8, 317, 000

b)

8, 371, 000

c)

837, 100

d)

83, 170, 000

61.

Write in scientific notation

16,200,000,000

a)

1.62 x 10810^8  

b)

162 x 10810^8  

c)

1.62 x 101010^{10}  

d)

162 x 101010^{10}  

62.

Write in Scientific Notation

0.000402

a)

0.402 x 10310^{-3}  

b)

4.02 x 10410^{-4}  

c)

4.02 x 10410^4  

d)

4.02 x 10310^{-3}  

63.

Write in Scientific Notation

0.023

a)

23 x 10310^3  

b)

23 x 10310^{-3}  

c)

2.3 x 10210^{-2}  

d)

2.3 x 10210^2  

64.

105 \frac{10}{5}\ is equal to which whole number?  

a)

1

b)

0

c)

2

d)

5

65.

Select all of the fractions that are equal to 1 or greater than 1

a)

78\frac{7}{8}  

b)

87\frac{8}{7}  

c)

42\frac{4}{2}  

d)

100100\frac{100}{100}  

e)

37\frac{3}{7}  

66.

Type the fraction that names the shaded part of the wholes.

(a)  

67.

13= ?12\frac{1}{3}=\ \frac{?}{12}  
What is the equivalent Fraction ?

a)

112\frac{1}{12}  

b)

312\frac{3}{12}  

c)

412\frac{4}{12}  

d)

512\frac{5}{12}  

68.

15= ?15\frac{1}{5}=\ \frac{?}{15}  
What is the equivalent Fraction ?

a)

315\frac{3}{15}  

b)

115\frac{1}{15}  

c)

515\frac{5}{15}  

d)

215\frac{2}{15}  

69.

Find an equivalent fraction for  12\frac{1}{2}  

a)

79\frac{7}{9}  

b)

56\frac{5}{6}  

c)

38\frac{3}{8}  

d)

24\frac{2}{4}  

70.

Use the shapes in the picture to write the ratio of STARS to SQUARES.

a)

3 to 2

b)

2 to 4

c)

4 to 2

d)

3 to 4

71.
There are 4 birds and 6 snakes. What is the ratio of birds to snakes?
a)
6/4
b)
4/6
c)
1/3
d)
10/16
72.
What is another way to write 6:7
a)
7:6
b)
6/7
c)
7/6
d)
7 to 6
73.
Find the unit rate.
Carrie can type 800 words in 12 minutes. How many words can she type per minute? 
a)
66 2/3
b)
66
c)
66 1/2
74.
Caleb can drive 15 miles in 60 minutes. How many miles can he drive in 12 hours? (Hint. Set up a proportion to solve problem).
a)
360
b)
180
c)
48
75.
Xavier loves Pizzahut! He orders 3 pizzas for $27.99 How much did he pay per pizza?
a)
$9
b)
$9.33
c)
I have no clue
76.

Ms. Patten has 20 soccer balls and 12 cones. What is the ratio of cones to soccer balls?

a)

20 to 12

b)

20 to 32

c)

13 to 32

d)

12 to 20

77.
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
78.
If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.
a)
4
b)
30
c)
70
d)
40
79.

What is 0.89 as a fraction in simplest form?

a)

89 / 100

b)

8 9/10

c)

89 / 10

d)

89 / 1000

80.

What is 0.25 as a fraction in simplest form?

a)

1 / 25

b)

25 / 10

c)

25 / 100

d)

1 / 4

81.
1/2 =
a)
0.5
b)
1.2
c)
0.25
d)
0.05
82.

Write .94 as a percent

a)

94%

b)

940%

c)

9.4%

83.

Write 17% as a decimal.

a)

0.17

b)

1.7

c)

0.017

84.

Write 0.19 as a percent

a)

19%

b)

1.9%

c)

190%

85.

Convert 50% to fraction.

a)

24\frac{2}{4}

b)

12\frac{1}{2}

86.

Convert 45% to fraction.

a)

920\frac{9}{20}

b)

45100\frac{45}{100}

87.

Convert 60% to fraction.

a)

35\frac{3}{5}

b)

60100\frac{60}{100}

88.

Aron has a bag of marbles that contains three red (R) marbles, four green (G) marbles, and three blue (B) marbles


Which expression represents the probability of randomly selecting a green (G) marble, replacing it, and then randomly selecting a red (R) marble?

a)

410  (310)\frac{4}{10}\ \cdot\ \left(\frac{3}{10}\right)

b)

410   (39)\frac{4}{10\ }\ \cdot\ \left(\frac{3}{9}\right)

c)

14 ( 13)\frac{1}{4}\ \cdot\left(\ \frac{1}{3}\right)

89.

How many possible outcomes are there when Sharya spins the spinner shown below twice?

a)

2

b)

6

c)

12

d)

36

90.

Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections. The spinner is spun two times. The number of possible outcomes is 16. How many sections is the spinner divided into?

a)

2

b)

4

c)

8

d)

16

91.

The spinner is spun 15 times. The number of times it lands on a color is recorded below.

Red 2, blue 3, yellow 1, purple 1, orange 5 , green 3

What is the experimental probability it landed on RED?

(a)  

92.

A restaurant surveys customer orders with the following results: 8 pizzas, 12 hamburgers, 4 Chicken fingers, and 6 steaks. What is the experimental probability of pizza being chose?

P(Pizza)

a)

6/30

b)

4/30

c)

12/30

d)

4/15

93.

There are 4 jacks in a standard deck of 52 playing cards. If Peyton selects a card at random, what is the probability that it will be a jack reduced to its simplest form?

(a)  

94.

What is the probability of flipping a coin

3 times and getting 3 heads?

a)

1/8

b)

1/4

c)

1/2

d)

3/4

95.

The spinner is spun two times. Determine the probability of landing on red the first spin and on green the second spin .

a)

1/9

b)

1/10

c)

0

d)

1/12

96.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

1/12

b)

1/4

c)

1/8

d)

1/2

97.

In the clothing store, the probability of randomly selecting a jacket is 34%. What's the probability of its complement?

a)

P(not jacket)= 56%

b)

P(jacket) = 66%

c)

P(not jacket) = 50%

d)

P(not jacket) = 66%

98.

The probability of an event is 8/9. What's the probability of the complement to this event?

a)

1/9

b)

1

c)

2/9

d)

8/9

99.

What's the probability of the complement of spinning on black as a fraction?

a)

1/4

b)

7/8

c)

8/8

d)

1/8

100.

Celine flipped a coin 100 times. She flipped heads 41 times and tails 59 times. What is the experimental probability that the next flip will be heads?

a)

41/100

b)

1/2

c)

59/100

d)

3/4

101.

Based on the results in the table, which is the best prediction of how many times Paola will draw a blue or a red marble in 5,000 trials? (HINT: Set up as a proportion!)

a)

about 1,400 times

b)

about 3,000 times

c)

about 4,400 times

d)

about 3,600 times

102.

Dylan made 15 out of 35 free throws.

What's his experimental probability as a simplified fraction?

a)

3/7

b)

15/35

c)

1/2

d)

5/7

103.
What is the theoretical probability of rolling greater than a 1 on a die?
a)
6/6
b)
5/6
c)
4/6
d)
1/6
104.
The letters that form the word MATHEMATICS are placed in a bowl. If one letter is chosen randomly, what is the probability of choosing an "M"?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
105.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
106.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
107.
At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
108.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
109.

State the total number of possible outcomes in tossing 2 coins

(a)  

110.

State the total number of possible outcomes in rolling a die.

(a)  

111.

State the total number of possible outcomes in spinning a 4-colored wheel (blue, red, yellow, green).

(a)  

112.
Find the prime number.
a)
10
b)
9
c)
7
d)
4
113.
Is 12 prime or composite?
a)
prime
b)
composite
114.
is 5 prime or composite?
a)
prime
b)
composite
115.
Solve.
 (16-6) x (2+4)
a)
0
b)
8
c)
24
d)
60
116.
Solve.
5 x (7 - 4) - 3 x 2
a)
0
b)
18
c)
9
d)
15
117.
Evaluate the numerical expression.
2(15 - 7) + 6
a)
22
b)
29
c)
50
d)
28
118.

Evaluate the expression.

16÷(2×2)+(3×4)16\div\left(2\times2\right)+\left(3\times4\right)  



(a)  

119.

Evaluate the expression.

(8×5)÷(3+9+8)\left(8\times5\right)\div\left(3+9+8\right)  



(a)  

120.

Evaluate the expression.

[(108)+(124)]×2\left[\left(10-8\right)+\left(12-4\right)\right]\times2  



(a)  

121.
2 x 2 x 2 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
122.

Use a factor tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

123.

Use a factor tree to find the prime factorization of 60

a)

5x3x2x2

b)

7x6x5

c)

5x3x3x2

d)

7x5x4