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Exam

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve the problem. 1) An employee was paid $26,575 during the first half of last year. During the second half she was

paid $63,704. How much more was her income during the second half? 1)

A) $90,290 B) $37,140 C) $90,279 D) $37,129

Add. 2) 48

41 8

49 + 64

2)

A) 210 B) 220 C) 282 D) 233

Round as indicated. 3) 9016 to the nearest ten 3)

A) 9030 B) 9010 C) 9020 D) 9120

Answer the question. 4) What does the digit 2 mean in the number 247,189? 4)

A) 2 thousands B) 2 hundreds C) 2 ten thousands D) 2 hundred thousands

Solve. 5) 888 = 6 · w 5)

A) 6 B) 882 C) 148 D) 5328

Rewrite the following number using digits. 6) One hundred million, six thousand 6)

A) 1006 B) 1,600,000 C) 100,006,000 D) 106,000,000

Divide. 7) 1,680,000 ÷ 1000 7)

A) 168 B) 1.68e+09 C) 168,000 D) 1680

Divide, if possible. If not possible, write “not defined.” 8) 8 310 8)

A) 44 B) 38 R6 C) 38 D) 38 R7

Simplify.

9) 547 0

9)

A) 547 B) 0 C) 1 547

D) Not defined

1

Multiply.

10) 34 × 3 7

10)

A) 102 7

B) 3 238

C) 37 7

D) 102 238

Determine if the second number is a factor of the first number. 11) 580; 140 11)

A) Yes B) No

Provide an appropriate response. 12) A company with 1080 total employees prepares the following analysis for the length of time its

employees have been with the company. Use the table to answer the question.

What is the ratio of the number of employees working 4 years or less but more than 2 years to the number of employees working more than 6 years?

12)

A) 305 1080

B) 150 305

C) 305 150

D) 1080 305

Find another name for the given number, but with the denominator indicated.

13) 8 23

= ?

138 13)

A) 14 138

B) 48 138

C) 184 138

D) 8 138

2

What part of the set of objects is shaded? 14) 14)

A) 2 6

B) 2 8

C) 8 2

D) 6 8

Divide and simplify.

15) 1 3

÷ 2 15)

A) 1 3

B) 1 6

C) 1 5

D) None of these

Add and simplify.

16) 9 10

- 29 100

16)

A) 119 100

B) 119 10

C) 19 55

D) 19 50

Solve and simplify.

17) 3 8

- m = 8 9

17)

A) m = 5 9

B) m = 37 9

C) m = 5 72

D) m = 37 72

Subtract and simplify.

18) 40 48

- 39 48

18)

A) 1 31 48

B) 32 1 2

C) 1 96

D) 1 48

Find the LCM of the set of numbers. 19) 18, 20, 24, 40 19)

A) 432 B) 360 C) 1080 D) 720

Simplify.

20) 2 3

· 1 4

- 1 2

· 6 20)

A) 3 B) 6 C) 2 D) 1 1 2

3

Write the fraction in decimal notation.

21) 1 7

21)

A) ___

0.142857 B) _____

0.146857 C) _____

0.142857 D) ___

0.143357

Round to the indicated place value. 22) Round to the nearest thousandth: 17.51267 22)

A) 17.5126 B) 17.513 C) 17.5127 D) 17.51

Solve the problem. 23) Mr. Dresden grosses $500 a week. If his take-home pay is $405.58, how much money was deducted

from his gross weekly pay? 23)

A) $94.52 B) $95.52 C) $95.42 D) $94.42

Multiply. 24) 0.8452 × 100 24)

A) 8.452 B) 845.2 C) 0.008452 D) 84.52

Write a word name for the number in the sentence. 25) The volume of water in Lee’s bottle is 2.733 liters. 25)

A) Two and seven hundred thirty-three millionths B) Two and seven hundred thirty-three thousandths C) Two and seven hundred thirty-three hundredths D) Two and seven hundred thirty-three tenths

Find fractional notation for the ratio. You need not simplify. 26) 705.3 to 230.3 26)

A) 230.3 705.3

B) 230.3 935.6

C) 935.6 230.3

D) 705.3 230.3

Solve.

27)

6 5 m

=

3 2 3 7

27)

A) 2 11 12

B) 2 1 3

C) 12 35

D) 3 7

Find fractional notation for the ratio. You need not simplify. 28) 1.6 to 9.8 28)

A) 9.8 11.4

B) 11.4 9.8

C) 9.8 1.6

D) 1.6 9.8

29) Of a family’s $866 weekly income, $87 usually goes toward groceries. What is the ratio of the amount spent on groceries to weekly income?

29)

A) 779 87

B) 866 87

C) 87 866

D) 87 779

4

Translate to an equation and solve. 30) What percent of 783 is 989?

Round your answer to the nearest tenth of a percent. 30)

A) 0.1% B) 79.2% C) 1.3% D) 126.3%

Translate to a proportion and solve. 31) 170 is what percent of 340? 31)

A) 200% B) 50% C) 100% D) 40%

Translate to a proportion and solve. When necessary, round to the nearest hundredth. 32) 37% of 1400 is what? 32)

A) 51.8 B) 518 C) 51,800 D) 5180

Solve the problem. 33) Pete is driving across country from Boston to Seattle. He keeps a record of the distance that he

drives each day. Monday 429 miles Tuesday 311 miles Wednesday 298 miles Thursday 255 miles Friday 223 miles

How much further did he drive on Monday than on Friday?

33)

A) 429 miles B) 174 miles C) 206 miles D) 652 miles

Use < or > for to write a true sentence. Draw a number line if necessary.

34) 35 42 34) A) < B) >

Solve the problem. 35) The dimensions of a rectangular yard are 30 feet by 110 feet. What is its perimeter? 35)

A) 3300 feet B) 170 feet C) 280 feet D) 140 feet

Multiply.

36) 13 19

· 12 23

36)

A) 156 437

B) 25 437

C) 156 42

D) 25 42

Use = or for to write a true sentence.

37) 45 10

450 1000

37)

A) B) =

Find the LCM of the set of numbers. 38) 7, 42 38)

A) 49 B) 7 C) 294 D) 42

5

Simplify.

39) 1 + 2 3

- 2 3

2 +

2 3

3 39)

A) 25 27

B) 1 14 27

C) 7 27

D) 1 22 27

Divide. 40) 18 171 40)

A) 0.95 B) 10.5 C) 9.5 D) 9

Solve the problem. 41) A 1.5-lb package of seedless grapes costs $3.45. Find the unit price in dollars per pound. Round to

the nearest cent. 41)

A) $5.18 per lb B) $1.73 per lb C) $0.14 per lb D) $2.30 per lb

Translate to a proportion. Do not solve. 42) 30% of 72 is what? 42)

A) 100 72

= a 30

B) 30 100

= a 72

C) 30 100

= 72 b

D) 30 72

= a

100

Estimate the sum as indicated. Then answer the question. 43) Estimate the following sum by first rounding to the nearest ten. Does the estimate give you reason

to doubt the stated sum?

1864 5392 73 + 5387 12,716

43)

A) Estimate: 12,710 ; no B) Estimate: 12,710 ; yes C) Estimate: 12,950 ; yes D) Estimate: 12,950 ; no

Find another name for the given number, but with the denominator indicated.

44) 1 7

= ? 14

44)

A) 4 14

B) 2 14

C) 7 14

D) 3 14

Estimate the value as a whole number or as a mixed numeral where the fractional part is 1 2

.

45) 32 10 21

- 20 8 15

· 14 1 18

45)

A) 312 1 2

B) 327 C) 319 1 2

D) 326 1 2

6

Find the requested ratio in decimal notation rounded to the nearest thousandth. 46) At the opening night of a theater production, there are 371 women and 340 men in the audience.

For this set of people, what is the ratio of women to the total number of people? 46)

A) 0.478 B) 0.522 C) 1.091 D) 0.003

The sides in the pair of figures are proportional. Find the missing length(s). 47)

5

15 30

47)

A) x = 10 B) x = 5 C) x = 20 D) x = 9

Solve the problem. 48) A kitchen table costs $410. The sales tax is $24.60. What is the sales tax rate? 48)

A) 0.6% B) 6% C) 7% D) 8%

Rewrite the following number using digits. 49) Two hundred six thousand, one hundred seven 49)

A) 2617 B) 260,170 C) 206,107 D) 207,106

Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10. 50) 11,180 50)

A) 2, 4, 5, 10 B) 4, 5 C) 2, 5 D) 4, 5, 10

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February 9, 2019