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?2π, , -18.04, , -76

53 2232

[A]

[B] -7

[C]

[D] 2π

2232

6

53

5. Of the following real numbers, which one is the greatest?2π, , -18.04, , -76

53 2232

[A]

[B] -7

[C]

[D] 2π The only positive number from the list

2232

6

53

6. If and which of the following numbers is not between a and b?

a 1

6

b 28 6%. ,

[F] 0.333

[G] 20.6%

[H] 19

84

[I] 0.246

6. If and which of the following numbers is not between a and b?

a 1

6

b 28 6%. ,

[F] 0.333

[G] 20.6%

[H] 19

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 2 4 6 8 100

[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 2 4 6 8 100

[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.

SalesUntilities 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?

[A] 1587 10 3.

[B] 1587 103. [C] 1587 102. [D] 1587 10 2.

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?

[A] 1587 10 3.

[B] 1587 103. [C] 1587 102. [D] 1587 10 2.

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.

[A] 1

92[B] 2

25

[C] 9

10[D] 23

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.

[A] 1

92[B] 2

25

[C] 9

10[D] 23

25

16. Deimos, a moon of Mars, takes about 1860 minutes to orbit the Mars. How is this measurement expressed in scientific notation?

[F] minutes 18 6 101.

[G] minutes18 6 102.

[H] minutes

186 103.

[I] minutes 186 104.

16. Deimos, a moon of Mars, takes about 1860 minutes to orbit the Mars. How is this measurement expressed in scientific notation?

[F] minutes 18 6 101.

[G] minutes18 6 102.

[H] minutes

186 103.

[I] minutes 186 104.

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 75 6 .

[A] 4911 [B] 730

[C] 4930[D] 711

21. Simplify 7 75 6 .

[A] 4911 [B] 730

[C] 4930[D] 711

22. Simplify

[F] 103 4 [G] 1012

[H] 1081 [I] 107

22. Simplify

[F] 103 4 [G] 1012

[H] 1081 [I] 107

23. Use the concept of opposites to simplify

[A] 4

[B] 1

4

[C] 4

[D] 1

4

23. Use the concept of opposites to simplify

[A] 4

[B] 1

4

[C] 4

[D] 1

4

24. Dividing by 3 is the same as multiplying by what fraction?

[F] 2

3

[G] 4

[H] 1

4

[I] 1

3

24. Dividing by 3 is the same as multiplying by what fraction?

[F] 2

3

[G] 4

[H] 1

4

[I] 1

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

Basket

Decorated Can

$2.00

$3.50

$3.75

Lotions and Soaps

Bath Gel

Lotion

Bubble Bath

$2.40

Extras

Bath Beads

Sponge

Soft Scrubber

$0.85

$ .

$ .

$ .

$ .

2 90

340

210

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

Basket

Decorated Can

$2.00

$3.50

$3.75

Lotions and Soaps

Bath Gel

Lotion

Bubble Bath

$2.40

Extras

Bath Beads

Sponge

Soft Scrubber

$0.85

$ .

$ .

$ .

$ .

2 90

340

210

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 =6.506.50 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

[I] more than $120

20 x 7.56 = 151.20151.20 x 0.25 = 37.80

151.20 – 37.80 = 113.40