eoc practice – number sense

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EOC Practice – Number Sense

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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. - PowerPoint PPT Presentation

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Page 1: EOC Practice – Number Sense

EOC Practice – Number Sense

Page 2: 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

Page 3: 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

Page 4: EOC Practice – Number Sense

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

Page 5: EOC Practice – Number Sense

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

Page 6: EOC Practice – Number Sense

3. Earth’s radius is about: six million, three hundred seventy thousand meters. Write this distance using scientific notation.

Page 7: EOC Practice – Number Sense

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

Page 8: EOC Practice – Number Sense

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?

Page 9: EOC Practice – Number Sense

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

Page 10: EOC Practice – Number Sense

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

53 2232

[A]

[B] -7

[C]

[D] 2π

2232

653

Page 11: EOC Practice – Number Sense

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

653

Page 12: EOC Practice – Number Sense

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

a 16

b 28 6%. ,

[F] 0.333

[G] 20.6%

[H] 1984

[I] 0.246

Page 13: EOC Practice – Number Sense

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

a 16

b 28 6%. ,

[F] 0.333

[G] 20.6%

[H] 1984

[I] 0.246

Page 14: EOC Practice – Number Sense
Page 15: EOC Practice – Number Sense

I-17I = 17 and I-5I = 5

Then I-17I, 13, I-5I and 3

Page 16: EOC Practice – Number Sense

8. Arrange the integers –5, 4, –8, 0, 3, 6, –6 in order from least to greatest.

Page 17: EOC Practice – Number Sense

8. Arrange the integers –5, 4, –8, 0, 3, 6, –6 in order from least to greatest.

-8, -6, -5, 0, 3, 4, 6

Page 18: EOC Practice – Number Sense

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

Page 19: EOC Practice – Number Sense

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

Page 20: EOC Practice – Number Sense

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?

Page 21: EOC Practice – Number Sense

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

Page 22: EOC Practice – Number Sense

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.

Page 23: EOC Practice – Number Sense

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 TransportationOther

Page 24: EOC Practice – Number Sense

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?

Page 25: EOC Practice – Number Sense

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%

Page 26: EOC Practice – Number Sense

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.

Page 27: EOC Practice – Number Sense

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.

Page 28: EOC Practice – Number Sense

14. Identify the simplified form of the expression

200

.

[F] 10 2

[G] 20 10

[H] 2 10

[I] 10 20

Page 29: EOC Practice – Number Sense

14. Identify the simplified form of the expression

200

.

[F] 10 2

[G] 20 10

[H] 2 10

[I] 10 20

Page 30: EOC Practice – Number Sense

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] 192

[B] 225

[C] 910

[D] 2325

Page 31: EOC Practice – Number Sense

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] 192

[B] 225

[C] 910

[D] 2325

Page 32: EOC Practice – Number Sense

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.

Page 33: EOC Practice – Number Sense

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.

Page 34: EOC Practice – Number Sense

17.

Page 35: EOC Practice – Number Sense

17.

Page 36: EOC Practice – Number Sense

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.

Page 37: EOC Practice – Number Sense

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.

Page 38: EOC Practice – Number Sense

21. Simplify 7 75 6 .

[A] 4911 [B] 730

[C] 4930[D] 711

Page 39: EOC Practice – Number Sense

21. Simplify 7 75 6 .

[A] 4911 [B] 730

[C] 4930[D] 711

Page 40: EOC Practice – Number Sense

22. Simplify

[F] 103 4 [G] 1012

[H] 1081 [I] 107

Page 41: EOC Practice – Number Sense

22. Simplify

[F] 103 4 [G] 1012

[H] 1081 [I] 107

Page 42: EOC Practice – Number Sense

23. Use the concept of opposites to simplify

[A] 4

[B] 14

[C] 4

[D] 14

Page 43: EOC Practice – Number Sense

23. Use the concept of opposites to simplify

[A] 4

[B] 14

[C] 4

[D] 14

Page 44: EOC Practice – Number Sense

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

[F] 23

[G] 4

[H] 14

[I] 13

Page 45: EOC Practice – Number Sense

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

[F] 23

[G] 4

[H] 14

[I] 13

Page 46: EOC Practice – Number Sense

Simplify to a negative number, a positive number or 0

Page 47: EOC Practice – Number Sense

Simplify to a negative number, a positive number or 0

Page 48: EOC Practice – Number Sense

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?

Page 49: EOC Practice – Number Sense

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

Page 50: EOC Practice – Number Sense

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 BagBasketDecorated Can

$2.00$3.50$3.75

Lotions and SoapsBath GelLotionBubble Bath

$2.40

ExtrasBath BeadsSpongeSoft Scrubber

$0.85

$ .$ .

$ .$ .

2 90340

2102 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.

Page 51: EOC Practice – Number Sense

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 BagBasketDecorated Can

$2.00$3.50$3.75

Lotions and SoapsBath GelLotionBubble Bath

$2.40

ExtrasBath BeadsSpongeSoft Scrubber

$0.85

$ .$ .

$ .$ .

2 90340

2102 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

Page 52: EOC Practice – Number Sense

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