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Worksheets

Real Numbers

Total questions: 56

Worksheet time: 2hrs 2mins

Name
Class
Date
1.

A _________ _________is a

number that can be written as a quotient of two integers

(a)  

2.

An ___________ _________is a

number that cannot be written as a quotient of two integers.

(a)  

3.

Real numbers consist of :

a)

Rational Numbers

b)

Irrational Numbers

c)

Arbitrary Numbers

4.

The following are examples of Integers

a)

(1/2, -3, 4, .75)

b)

(.987, .786, -9.9)

c)

(1,-1,2,-2,3,-3)

5.

Any of the numbers {0, 1, 2, 3} etc.

There is no fractional or decimal part. There are no negatives. These would be:

a)

Integers

b)

Whole Numbers

c)

Irrational Numbers

6.

Numbers that can be used for counting. They do not include zero or negatives. What kind of numbers are they?

a)

Whole

b)

Counting

c)

Integers

7.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
8.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
9.
Which represents a rational number?
a)
√110
b)
√324
c)
√65
d)
√80
10.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
11.
a)
2/3
b)
-2/3
c)
3/5
d)
-3/5
12.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
13.
Round to the Nearest Tenth: √28
a)
5.6
b)
5.9
c)
5.3
d)
8
14.
Find the best estimate for √18 .
Look at the number line.
a)
4.2
b)
4.4
c)
5.1
d)
4
15.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
16.
Round to the Nearest Tenth: √119
a)
10.9
b)
10.5
c)
11.1
d)
10
17.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
18.
Which is the best estimate of the square root of 63?
a)
7.1
b)
7.3
c)
7.5
d)
7.9
19.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
20.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 105
21.
Describe √2 as rational, irrational, not real, or natural. If a real number, give the approximate value.
a)
Rational, 1.4
b)
Irrational, 1.4142..
c)
Not real
d)
Natural, 1
22.
Express the fraction 7/9 as a decimal.
a)
0.8
b)
0.88888...
c)
0.7
d)
0.777777...
23.
Write 0.35 as a fraction in simplest form.
a)
35/100
b)
3.5/10
c)
7/20
d)
3/10
24.
Which represents a rational number?
a)
√110
b)
√324
c)
√65
d)
√80
25.
If the volume of a cube is 27in3, what is the length of one side of the cube?
a)
3in
b)
9in
c)
2.7in
d)
3cm
26.
If the area of a square is 81cm2, what is the side length?
a)
9cm
b)
81cm
c)
3cm
d)
9cm2
27.
If you were to plot the point (4, -12) what would be the correct method?
a)
Up 4, left 12
b)
Right 4, up 12
c)
Down 4, left 12
d)
Right 4, down 12
28.

Which letter matches the coordinate (4, -6)?

a)

C

b)

Z

c)

K

d)

None of the above

29.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
30.
Name the quadrant where POINT C is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
No Quadrant
31.
Which axis runs vertically?
a)
x
b)
Y
32.

In which quadrant is letter P?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

33.

What is the coordinate for letter M?

a)

(0,-6)

b)

(0,0)

c)

(6,6)

d)

(-6,0)

34.

Which letter matches the coordinate (-4, -3)?

(a)  

35.
Where is point A located?
a)
( 7 , 2 )
b)
( 2 , 6 )
c)
( - 2 , 7 )
d)
( 2 , 7 )
36.

What are the coordinates of point B?

(a)  

37.
the scores in a basketball match are as follows:
7,13,18,24,9,3,18
which score occurred most often?
a)
9
b)
13
c)
18
d)
24
38.
the following is time (in seconds) taken for five men to run in a sprint race
59,65,61,62,55
what is the mean of the time taken?
a)
60.0
b)
60.4
c)
61.0
d)
61.4
39.
What is the median?
a)
biggest- smallest
b)
average
c)
the middle #
d)
# that happens the most
40.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
41.
What is the range of the set: 49, 68, 62, 47, 39, 54, 43
a)
25
b)
29
c)
31
d)
19
42.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
43.
The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the mean number of miles Jenna cycled?
a)
31
b)
36
c)
39
d)
41
44.
What is the mode of 16,18,20,21,21,21,32,40?
a)
21
b)
56
c)
7
d)
18
45.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode:
12, 10, 10, 10, 13, 12, 11, 13, 10
a)
13
b)
12
c)
11
d)
10
46.

If you score 76, 85, 97, and 83 on your math tests for the unit, what would your median score be?

a)

84

b)

90

c)

85

d)

88

47.

Find the median for the set of numbers:

85, 42, 64, 71, 39, 56, 26

a)

71

b)

42

c)

56

d)

60

48.
Find the median:
3, 5, 7, 4, 3, 1
a)
3 and 4
b)
There isn't one
c)
3.5
d)
3
49.

What is the range of miniature golf scores?

a)

44 points

b)

29 points

c)

33 points

d)

39 points

50.
93, 100, 82, 93, 67, 100, 67, 82, 93, 93
What is the range of this data set?
a)
26
b)
93
c)
33
d)
82
51.

The term "snowstorms of note" applies to all snowfalls over 6 inches. The snowfall amounts for

snowstorms of note in Utica, New York, over a four-year period are as follows: 7.1, 9.2, 8.0, 6.1,

14.4, 8.5, 6.1, 6.8, 7.7, 21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6

What are the mean and population standard deviation for these data, to the nearest hundredth?

a)

mean = 9.46; standard deviation = 3.74

b)

mean = 9.46; standard deviation = 3.85

c)

mean = 9.45; standard deviation = 3.74

d)

mean = 9.45; standard deviation = 3.85

52.

What is the population standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

53.

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

a)

511.33

b)

22.61

c)

438.48

d)

20.94

54.

_______ is the entire group of objects or individuals considered for a survey.

a)

Sample

b)

Population

c)

Random Sample

d)

Quartile

55.

_______ is a part of a group being surveyed.

a)

Sample

b)

Population

c)

Random Sample

d)

Quartile

56.

Population or Sample?

The average weight of every person entering the mall within 3 hour period was 146 lb.

a)

Population

b)

Sample

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