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Numerical Reasoning

Total questions: 100

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

The Conference Board said its consumer confidence index climbed to 113.7 in December, up from 109.4 in November and the highest since it reached 114 in August 2001.” Calculate the percent increase of the consumer confidence index from November to December.

a)

3.9%

b)

-3.9%

c)

104%

d)

96%

2.

Nvidia posted the biggest gain in the S&P 500 index. The chipmaker surged $7.54, to $117.32. What is that percent increase?

a)

6.9%

b)

6.4%

c)

7.5%

d)

8.6%

3.

Use these calculations to assist you:

60 sec per minute x 60 mins per hour x 24 hours per day x 365 days per year = 31,536,000 sec in a year

60 sec per minute x 60 mins per hour x 24 hours per day = 86,400 sec in a day

60 sec per minute x 60 mins per hour = 3,600 sec in an hour

How long is one million seconds?

HINT: You can see from above it is less than a year, so divide by 86,400 to get how many days it is, then take the remainder and divide by 3,600 to get hours, take that remainder and divide by 60 to get minutes, then you should just have the remaining seconds

a)

11 days, 13 hours, 46 minutes, 40 seconds

b)

13 days, 11 hours, 24 minutes, 20 seconds

c)

5 days, 17 hours, 29 minutes and 25 seconds

d)

1 day, 11 hours, 24 minutes, 40 seconds

4.

You’ve just won one billion dollars! But, the rules require you to spend it all in one year. How much do you have to spend per day?

a)

$2,739,726.03 a day

b)

$2,739.73 a day

c)

$273,972.60 a day

d)

$83,333,333.33 a day

5.

In the US milk is sold by the gallon, while in Denmark it is sold by the liter. How many liters of milk would you need to equal one gallon?

1 liter = 1.06 quarts

4 quarts = 1 gallon

a)

3.77 L

b)

4.24 L

c)

0.27 L

d)

5.06 L

6.

A car’s gas tank holds 12 gallons and is ¼ full. The car gets 28 miles/gallon. You see a sign saying “Next gas 82 miles”. Can you make it to the gas station before running out of gas?

a)

Yes, I should get 84 miles before running out of gas

b)

Yes, I should get 112 miles before running out of gas

c)

No, I will only get 60 miles before running out of gas

d)

No, I don’t think I can make it 82 miles

7.

Rihanna decided to take Mason out to see a Lakers game and catch dinner at a fancy restaurant. The bill at the restaurant was $192 (pre-tax), the service was great and Rihanna said she would pay for the dinner if Mason just paid for the tip. Mason decided to pay 25%, how much did he have to pay?

a)

$48

b)

$240

c)

$7.68

d)

$25

8.

If you spent $32.85 (pre-tax) at Buffalo Wild Wings, and left $5.91 as a tip, what percent tip did you leave?

a)

18%

b)

15%

c)

20%

d)

25%

9.

The cost of a gallon of milk in 1980 was $2.30 (Reference value). In 2010 the cost of a gallon of milk was $3.31 (Value). What is the cost-of-milk index in 2010?

Value = V

Reference value = Rv

Index = (V/Rv) x (100)

a)

144

b)

69

c)

1.439

d)

.695

10.

If the average U.S. salary is $55,000 per year, and the Cost of Living Index in Springdale, AR is 86, what would be an equivalent salary for people living in Springdale?

Cost of Living formula = Cost of Living Index/100=Salary/Ref (fix) Salary

a)

$47,300

b)

$63,953

c)

$41,000

d)

$51,526

11.

Question 1

A sequence of numbers is changing by the same amount each time. The sixth,

seventh and eighth numbers are 21, 28 and 35. What is the tenth term?

A: 54 B: 52 C: 51 D: 49 E: 57

a)

A

b)

B

c)

C

d)

,D

e)

E

12.

Read the instructions in the image and select the answer below.

a)

A

b)

B

c)

C

d)

D

e)

E

13.

Read instructions in image and select the answer below.

a)

A

b)

B

c)

C

d)

D

e)

E

14.

Read instructions in image and select the answer below.

a)

A

b)

B

c)

C

d)

D

e)

E

15.

Read instructions in image and choose answer below.

A: 288 B: 297 C: 298 D: 286 E: 281

a)

A

b)

B

c)

C

d)

D

e)

E

16.

Question 5

In a farm there are only chickens and cows. Each chicken has 2 legs. Each cow

has 4 legs. Given the total number of animals is 32 and the total number of legs

is 106. How many cows are there in the farm?

A: 16 B: 12 C: 31 D: 21 E: 24

a)

A

b)

B

c)

C

d)

D

e)

E

17.

Question 6

In a farm there are only chickens and cows. Each chicken has 2 legs. Each cow

has 4 legs. Given the total number of chickens is 11 and the total number of

legs is 122. How many cows are there in the farm?

A: 21 B: 27 C: 25 D: 35 E: 33

a)

A

b)

B

c)

C

d)

D

e)

E

18.

Read instructions in the image and choose answer below.

a)

A

b)

B

c)

C

d)

D

e)

E

19.

Question 8

A fruit shop pays $256 for 64 apples. It sells 4 apples for the same price it paid

for 9 apples What was the profit the fruit shop made on 64 apples?

A: 310 B: 576 C: 320 D: 596 E: 586

a)

A

b)

B

c)

C

d)

D

e)

E

20.

Read instructions in image and choose the answer below.

a)

A

b)

B

c)

C

d)

D

e)

E

21.

Question 11

Find the next number in the following sequence

25, 25, 48, 41, 71, 57

A: 78 B: 73 C: 94 D: 68 E: 99

a)

A

b)

B

c)

C

d)

D

e)

E

22.

Question 12

Find the missing number and letter in the following sequence

6, ?, ?, K, 8, H, 26, Z, 16, P, 20, T

A: F, 8 B: F, 12 C: F, 11 D: G, 9 E: F, 14

a)

A

b)

B

c)

C

d)

D

e)

E

23.

Follow instructions on image and choose answer below.

a)

A

b)

B

c)

C

d)

D

e)

E

24.

Find the next three terms in the sequence: 15, 21, 27, 33 ____, _____, _____

a)

39, 45, 51

b)

37, 41, 49

c)

35, 43, 49

d)

38, 47, 53

25.

Extend the numerical pattern: 48, 24, 12, ____, ____

a)

8, 4

b)

10, 5

c)

6, 4

d)

6, 3

26.

Which is the best counterexample of the following conjecture.


The difference between two integers is less than either integer.

a)

Difference between 7 and 8

b)

Difference between 9 and 2

c)

Difference between 3 and 4

d)

None of the above

27.

If the product of two numbers is positive, then the two numbers must both be positive. The counter example of this statement is

a)

1 and 2

b)

-5 and 8

c)

3 and 4

d)

-1 and -2

28.

Determine the conclusion from the following statements: if it is snowing, then I wear a cap. I am not wearing a cap.

a)

It is snowing

b)

It is not snowing

c)

It is winter

d)

None of the above

29.

Can we determine the conclusion of the following statement? "If Ann is the teacher today, then Kim is the teacher tomorrow. Ron is the driver today".

a)

Yes

b)

No

c)

Maybe

d)

None of the above

30.
a)

A

b)

B

c)

C

d)

D

31.
a)

A

b)

B

c)

C

32.
a)

A

b)

B

c)

C

d)

D

e)

E

33.
a)

A

b)

B

c)

C

d)

D

34.
a)

A

b)

B

c)

C

d)

D

35.
a)

A

b)

B

c)

C

d)

D

36.
a)

A

b)

B

c)

C

d)

D

37.
a)

A

b)

B

c)

C

d)

D

38.
a)

A

b)

B

c)

C

d)

D

39.
a)

A

b)

B

c)

C

d)

D

40.
Write 7.113 x 107 in standard form.
a)
71,130,00
b)
7,113,000
c)
0.0000007113
d)
7,113
41.
Write 0.00000707 in scientific notation.
a)
7.07 x 10-6
b)
7.07 x 106
c)
707 x 108
d)
707 x 10-8
42.
Classify the following:
 -78
a)
integer
b)
integer, real
c)
integer, whole, rational
d)
integer, rational, real
43.
What are your counting numbers (1,2,3..)?
a)
Rational Numbers
b)
Whole Numbers
c)
Natural Numbers
d)
Irrational Numbers
44.
A repeating decimal or decimal that terminates is called a 
a)
Natural Number
b)
Irrational Number
c)
Rational Number
d)
Whole Number
45.
Whole numbers are natural numbers together with "zero."
a)
True
b)
False
46.
What is an example of an irrational number?
a)
-2/3
b)
.75575557654..
c)
23
d)
0
47.
The square root of 5 is between what two integers?
a)
4 and 5
b)
2 and 3
c)
3 and 4
d)
9 and 10
48.
Put in the symbol to make the statement true...
-17.5   _________ -√121
a)
>
b)
<
c)
=
49.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
50.
Which list of numbers is in order from least to greatest?
a)
A √23, 5, 6, 43%
b)
B 5, √23, 6, 43%
c)
C 43%, 5, √23, 6
d)
D 43%, √23, 5, 6
51.
π or PI is classified as which?
a)
Rational
b)
Irrational
c)
Rational, Real
d)
Irrational, Real
52.
52
a)
16
b)
25
c)
20
d)
10
53.
82
a)
68
b)
64
c)
16
d)
56
54.
152
a)
196
b)
289
c)
256
d)
225
55.
√81
a)
9
b)
10
c)
8
d)
6
56.
√121
a)
12
b)
10
c)
11
d)
3
57.
√256
a)
14
b)
16
c)
13
d)
17
58.
√361
a)
18
b)
19
c)
16
d)
17
59.

In which set does the number -17 belong?

a)

irrational numbers

b)

whole numbers

c)

natural numbers

d)

integers

60.

How many balls are in this stack?

a)

16

b)

24

c)

25

d)

30

61.

How many matches are on the table?

a)

6

b)

7

c)

8

d)

9

62.

What's the value of ?

a)

1

b)

3

c)

9

d)

10

63.

What's the value of the final line?

a)

120

b)

114

c)

64

d)

39

64.

What's the value of the ?

a)

1

b)

3

c)

6

d)

9

65.
a)

1/9

b)

8

c)

16

d)

0

66.

What is the value of the final line?

a)

20

b)

21

c)

22

d)

23

67.

What's the value of the ?

a)

9

b)

12

c)

6

d)

18

68.

How many squares are there in total?

a)

25

b)

28

c)

30

d)

40

69.
a)

20

b)

24

c)

28

d)

30

70.

a)

18

b)

20

c)

21

d)

24

71.

What number is missing in the final square?

a)

28

b)

29

c)

34

d)

38

72.
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.
a)
y = 3x + 2.5
b)
y = 2.50x + 3
c)
y = 2.50x 
d)
y = 3x + 2.50
73.
You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.
a)
y=15x-25
b)
15x+25y=100
c)
25x+y=15
d)
y=15x+25
74.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
75.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
76.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
77.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
78.
Is y = 54(.20)x growth or decay?
a)
Growth because of the 54
b)
Decay because of the .20
c)
Decay because of the 54
d)
Growth because of the .20
79.
You have inherited land that was purchased for $30,000 in 1990. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
a)
$83,579
b)
$10,217
c)
$14,963,655
d)
$28,500
80.
Is this exponential growth or decay?
a)
Growth because a=1
b)
Decay because b=0.5
c)
Growth because there is no a
d)
Neither because a=0
81.
Is this exponential growth or decay?
y = 7(1.2)x
a)
Growth, because of 7
b)
Decay, because of 1.2
c)
Growth because of 1.2
d)
Decay because of 7
82.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1.08)x
c)
y=15,000(0.92)x
d)
y=15,000(0.08)x
83.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
y = 70(2)35
b)
y = 70(2)5
c)
y = 2(70)5
d)
y = 5(70)2
84.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1 + 14)x
c)
y=6(1 + .14)x
d)
y=6(0.86)x
85.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?
a)
104%
b)
4%
c)
40%
d)
400%
86.
Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?
a)
y= 7650(.14)3
b)
y= 7650(.86)3
c)
y= 7650(1+.86)3
d)
y = 7650(1.14)3
87.
What is the starting amount for the following function:
f(x) = 3(1/3)x 
a)
0
b)
1/3
c)
1
d)
3
88.
Is the pictured graph exponential growth, exponential decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
89.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
90.
What is the initial value?
a)
0
b)
3
c)
33
d)
66
91.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
92.

What number should replace the question mark?

a)

17

b)

24

c)

39

d)

44

93.

Find the median of the given data: 13, 16, 12, 14, 19, 12, 14, 13, 14.

a)

19

b)

14

c)

12

d)

14.5

94.

Simplify: {36 ÷ (-9)} ÷ {(-24) ÷ 6}

a)

1

b)

2

c)

3

d)

1

95.

What should be added to 53/7 to get 12?


a)

7/25

b)

9/34

c)

2/59

d)

46/7

96.

Find the top missing value

a)

100

b)

16

c)

25

d)

81

97.

Each side of a square is 62/3 m long. Find its Area.

a)

444/9 m2

b)

123/2 m2

c)

65 1/2 m2

d)

None of these.

98.

The average of first 50 natural numbers is

a)

25.30

b)

25.5

c)

25

d)

12.25

99.

A clock strikes once at 1 o’clock, twice at 2 o’clock, thrice at 3 o’clock and so on. How many times will it strike in 24 hours?

a)

78

b)

136

c)

156

d)

196

100.

125 gallons of a mixture contains 20% water. What amount of additional water should be added such that water content be raised to 25%?

a)

15/2 gallons.

b)

17/2 gallons.

c)

. 19/2 gallons.

d)

81/3 gallons.

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