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EOC Practice – Number Sense
1. Write as a decimal in standard form:
five thousand, nine hundred one and twenty-seven hundredths
[A] 5091.27
[B] 5901.27
[C] 5901.027
[D] 50,901.27
1. Write as a decimal in standard form:
five thousand, nine hundred one and twenty-seven hundredths
[A] 5091.27
[B] 5901.27
[C] 5901.027
[D] 50,901.27
2. Which represents 6.10312 in words?
[F] six and ten thousand three hundred twelve hundred-thousandths
[G] six and one thousand three hundred twelve hundred-thousandths
[H] six and ten thousand three hundred twelve ten-thousandths
[I] six and one thousand three hundred twelve ten-thousandths
2. Which represents 6.10312 in words?
[F] six and ten thousand three hundred twelve hundred-thousandths
[G] six and one thousand three hundred twelve hundred-thousandths
[H] six and ten thousand three hundred twelve ten-thousandths
[I] six and one thousand three hundred twelve ten-thousandths
3. Earth’s radius is about:
six million, three hundred seventy thousand meters.
Write this distance using scientific notation.
3. Earth’s radius is about:
six million, three hundred seventy thousand meters.
Write this distance using scientific notation.
6,370,000 = 6.37 x 106
4. GRIDDED RESPONSE
Grid the correct answer on a separate gridding sheet.
Gold is a very soft metal, so it is usually combined with
harder metals, such as silver and copper, to make jewelry.
For instance, only fifty-eight and three tenths percent of a
14-karat gold ring is pure gold.
What is this percent as a decimal?
4. GRIDDED RESPONSE
Grid the correct answer on a separate gridding sheet.
Gold is a very soft metal, so it is usually combined with
harder metals, such as silver and copper, to make jewelry.
For instance, only fifty-eight and three tenths percent of a
14-karat gold ring is pure gold.
What is this percent as a decimal? 58 = 58.3 % or 0.583
5. Of the following real numbers, which one is the greatest?
5

3
2π, 6 , -18.04,  2 223 , -7
[A]  2 223
[B] -7
[C]
3
[D] 2π
5
6
5. Of the following real numbers, which one is the greatest?
5

3
2π, 6 , -18.04,  2 223 , -7
[A]  2 223
[B] -7
[C]
3
5
6
[D] 2π The only positive number from the list
1
6. If a  6 and
b  28.6% ,
which of the following numbers
is not between a and b?
[F] 0.333
[G] 20.6%
19
[H]
84
[I] 0.246
1
6. If a  6 and
b  28.6% ,
which of the following numbers
is not between a and b?
[F] 0.333
[G] 20.6%
19
[H]
84
[I] 0.246
I-17I = 17 and I-5I = 5
Then I-17I, 13, I-5I and 3
8. Arrange the integers –5, 4, –8, 0, 3, 6, –6
in order from least to greatest.
8. Arrange the integers –5, 4, –8, 0, 3, 6, –6
in order from least to greatest.
-8, -6, -5, 0, 3, 4, 6
9. Select the description which matches the graph.
–10 –8 –6 –4 –2
0
2
4
6
8
10
[A] integers less than or equal to –1
[B] integers greater than or equal to 0
[C] integers less than or equal to –2
[D] integers greater than or equal to –1
9. Select the description which matches the graph.
–10 –8 –6 –4 –2
0
2
4
6
8
10
[A] integers less than or equal to –1
[B] integers greater than or equal to 0
[C] integers less than or equal to –2
[D] integers greater than or equal to –1
10. An elevator in Sadewater’s department store
started on the ground floor. It went up 4 floors, down 3
floors, up 8 floors, and down 6 floors. Which
expression could be used to find the total number of
floors through which the elevator passed?
10. An elevator in Sadewater’s department store
started on the ground floor. It went up 4 floors, down 3
floors, up 8 floors, and down 6 floors. Which
expression could be used to find the total number of
floors through which the elevator passed?
Answer I
11. By analyzing her expenses for the last 8 months,
Hannah found that she usually spends 35% of her after-tax
income on utility bills and transportation costs. Sketch a
circle graph with a shaded portion to represent the
approximate percent of Hannah’s after-tax income spent on
utilities and transportation.
11. By analyzing her expenses for the last 8 months,
Hannah found that she usually spends 35% of her after-tax
income on utility bills and transportation costs. Sketch a
circle graph with a shaded portion to represent the
approximate percent of Hannah’s after-tax income spent on
utilities and transportation.
Sales
Untilities and
Transportation
Other
12
Jean’s highest bowling score last season was 237
out of the maximum possible score of 300. What
percent is equivalent to Jean’s highest score?
12
Jean’s highest bowling score last season was 237
out of the maximum possible score of 300. What
percent is equivalent to Jean’s highest score?
237 / 300 = 0.79 or 79%
13. The calorie and the BTU (British thermal unit)
are two standard units of energy. Four calories is
about 0.015872 BTU. How is this measure
expressed in scientific notation?
3
[A] 1587
.  10
3
[B] 1587
.  10
2
[C] 1587
.
 10
2
[D] 1587
.
 10
13. The calorie and the BTU (British thermal unit)
are two standard units of energy. Four calories is
about 0.015872 BTU. How is this measure
expressed in scientific notation?
3
[A] 1587
.  10
3
[B] 1587
.  10
2
[C] 1587
.
 10
2
[D] 1587
.
 10
14. Identify the simplified form of the expression
200
[F] 10 2
[G]
20 10 .
[H] 2 10
[I]
10 20
14. Identify the simplified form of the expression
200
[F] 10 2
[G]
20 10 .
[H] 2 10
[I]
10 20
15. Several different samples of portable computer
screens from a production batch of several thousand
were tested and 92% were found to be acceptable.
What fractions of the tested screens were
acceptable? Write your answer in simplest form.
1
[A]
92
[B] 2
[C] 9
[D] 23
10
25
25
15. Several different samples of portable computer
screens from a production batch of several thousand
were tested and 92% were found to be acceptable.
What fractions of the tested screens were
acceptable? Write your answer in simplest form.
1
[A]
92
[B] 2
[C] 9
[D] 23
10
25
25
16. Deimos, a moon of Mars, takes about 1860
minutes to orbit the Mars. How is this
measurement expressed in scientific notation?
[F] 18.6  101 minutes
[G] 18.6  10 minutes
2
3
186
.

10
[H]
minutes
.  104 minutes
[I] 186
16. Deimos, a moon of Mars, takes about 1860
minutes to orbit the Mars. How is this
measurement expressed in scientific notation?
[F] 18.6  101 minutes
[G] 18.6  10 minutes
2
3
186
.

10
[H]
minutes
.  104 minutes
[I] 186
17.
17.
19
One day during flu season, the manager of a factory where James works
announced that only 84 percent of the 1200 people employed at the factory were
present. To find the number of employees present, James multiplied 1200 by what
fraction? Write your answer in simplest form.
19
One day during flu season, the manager of a factory where James works
announced that only 84 percent of the 1200 people employed at the factory were
present. To find the number of employees present, James multiplied 1200 by what
fraction? Write your answer in simplest form.
21. Simplify
7 7 .
[A] 49
5
11
[C] 49
30
6
[B] 7
30
[D] 711
21. Simplify
7 7 .
[A] 49
5
11
[C] 49
30
6
[B] 7
30
[D] 711
22. Simplify
[F] 10
34
[H] 1081
12
[G] 10
[I] 107
22. Simplify
[F] 10
34
[H] 1081
12
[G] 10
[I] 107
23. Use the concept of opposites to simplify
[A]
4
1
[B] 
4
[C]  4
1
[D]
4
23. Use the concept of opposites to simplify
[A]
4
1
[B] 
4
[C]  4
1
[D]
4
24. Dividing by 3 is the same as multiplying by
what fraction?
2
[F]
3
[G] 4
1
[H]
4
1
[I]
3
24. Dividing by 3 is the same as multiplying by
what fraction?
2
[F]
3
[G] 4
1
[H]
4
1
[I]
3
Simplify to a negative number, a positive number or 0
Simplify to a negative number, a positive number or 0
27. An interior designer charges a customer $20 for each hour she works on
a project. The customer must also pay the interior designer for materials. The
amount the customer pays for materials is marked up 15% over the price the
designer paid for the materials. Suppose the designer works 33 hours on a
project for a customer. The designer pays $4500 for materials. What is the
total amount the customer must pay the interior designer?
27. An interior designer charges a customer $20 for each hour she works on
a project. The customer must also pay the interior designer for materials. The
amount the customer pays for materials is marked up 15% over the price the
designer paid for the materials. Suppose the designer works 33 hours on a
project for a customer. The designer pays $4500 for materials. What is the
total amount the customer must pay the interior designer?
Then 660+4500+675 = $5836
28. GRIDDED RESPONSE Grid the correct answer
on a separate gridding sheet.
The price list for bath items at Sal's Create-a-Gift is
shown below.
Price List
Containers
Gift Bag
$2.00
Basket
$3.50
Decorated Can $3.75
Lotions and Soaps
Bath Gel
$2.40
Lotion
$2.90
Bubble Bath $3.40
Extras
Bath Beads
$0.85
Sponge
$2.10
Soft Scrubber
$2.35
Determine how much it will cost, in dollars, to buy
a gift bag with bath gel and a sponge if there is a
sales tax of 6%. Round your answer to the
nearest cent.
28. GRIDDED RESPONSE Grid the correct answer
on a separate gridding sheet.
The price list for bath items at Sal's Create-a-Gift is
shown below.
Price List
Containers
Gift Bag
$2.00
Basket
$3.50
Decorated Can $3.75
Lotions and Soaps
Bath Gel
$2.40
Lotion
$2.90
Bubble Bath $3.40
Extras
Bath Beads
$0.85
Sponge
$2.10
Soft Scrubber
$2.35
Determine how much it will cost, in dollars, to buy
a gift bag with bath gel and a sponge if there is a
sales tax of 6%. Round your answer to the
nearest cent.
2+2.40+2.10 =6.50
6.50 x 0.06 = 0.39
Then 6.50 + 0.39 = $6.89
30. Greg is buying soft drinks for a class fund-raiser. He
discovers that one case of drinks costs $7.56. However,
if he buys 20 or more cases, he will get a 25% discount.
What is a reasonable estimate of the cost of 20 cases?
[F] less than $100
[G] between $100 and $110
[H] between $110 and $120
20 x 7.56 = 151.20
151.20 x 0.25 = 37.80
151.20 – 37.80 = 113.40
[I] more than $120