language prof exam

8/20/2019 Language Prof Exam

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ALGEBRAIC EXPRESSION, PERCENT,DECIMAL & FRACTION

Direction: For each item, select the letter thatcorresponds to your answer.1. Write 3/8% as decimal.

a. 03.75 c. 0.3750b. 0.0375 d. 0.00375

. What is 0.05 percent o! ".5#a. 0.0003 5 c. 0.3 5b. 0.03 5 d. 3.0 5

3. Write 7.5% as a !raction.a. 3/$0 c. 3/$00b. 3/$ d. 3/$000

$. Find $0% o! "0.a. 0. $ b. .$ c. $ d. $0

5. 5$ is 0% o! what number#a. .7 b. 70 c. 10.8 d. 108

". What percent o! "0 is $ #a. 0.7% b. 7% c. 70% d. 1.$ 8%

7. When 13 is added to &15, the sum is'

a. & b. c. &18 d. 188. When &15 is subtracted !rom &18, the di!!erenceis (((((.a. &3 b. 3 c. 33 d. &33

). When the product o! *&$+ and *&17+ is di ided by, the -uotient is (((((.

a. &3$ b. 3$ c. "" d. &""10. ! &5 17 & 3 , the (((((.

a. ).8 b. &).8 c. 3 d. &311. ! y $a and y b then y (((((.

a. b a c. a bb. a b d. a b

1 . ! 0.37m 0.0111 then m (((((.a. 30 b. 0.3 c. 3 d. 0.03

13. What is the alue o! in 5 ' ' 1 5#a. 5 b. 15 c. 0 d. 5

1$. ! 3 y, then *y + 3 (((((((.a. ) b. & 7 c. 7 d. 81

15. What alues o! can satis!y the e-uation*3 "+ * &8+ 0#a. &$ and only c. $ onlyb. & only d. & and $ only

1".2he number is 15 less 7 when added to ten,what will be the number#a. 8 b. 18 c. 17 d. 15

17. What is & *&3.1+ *&0.0 + ((((((((#a. &0.51 c. 0.51 e. &5.01b. .01 d. &5.1

18. Write 3/$% as a decimal.a. 0.75 c. 0.00075b. 0.075 d. 0.0075

1). What is 1 4% o! 80#a. 3 c. 1" e. 8b. $ d. 10

0. What is "0% o! "0#a. 1 c. 1 e. 100b. 10 d. 3"

1. $00 is 500% o! what number#a. ,000 c. 8 e. 80b. 0 d. 00

. What is 0. 8 in percent#a. 0.0 8% c. .8% e. 8%b. 0. 08% d. 80%

3. What is .3 in percent#a. 0.0 3% c. .3% e. 30%b. 0. 3% d. 03%

$. What is 0.008 in percent#a. 0.8% c. 800% e. 1/800%b. 8% d. 1/8%

5. What is " 4 % in decimal#a. 0.0" c. 0."1 e. 0."55b. 0.0"5 d. 0."5

". What is 5 % as a !raction#a. 1/ 5 c. 1/$ e. 1/ 0b. 1/5 d. $/10

7. What is 75% o! 8,$08#a. 1, 0 d. ", 0$ 1/3b. ,10 e.11, 10 /10c. ",30"

8. "0 is 5% o! what number#a. 105 c. 10 e. $0b. 150 d. 1 0

). What is /3 in percent#a. .33% c. 33 1/3% e. /3%b. . /3% d. "" /3%

30. 18 is 10% o! what number#a. 0.18 c. 1,800 e. 180b. 1.80 d. 18

31. What is 50% o! 1"% o! 5#a. c. $) e. 0b. 5 d. $0

3 . $ is 35% o! what number#a. )" c. 13 e. 1b. 8) d. 83

GEOMETRYDirection: For each item, select the letter thatcorresponds to your answer.33. ne side o! trian6le is 3 cm lon6er than the

shortest side, and the other side is $ cm lon6erthan the shortest side. ow lon6 is the shortestside i! the perimeter is "7 cm#a. 0 cm c. $ cmb. 3 cm d. 7 cm

3$. 2he len6th o! a rectan6le is cm less than twiceits width. What is its width in cm, i! its perimeteris 50 cm#a. 8 b. ) c. 1" d. 5

35. re6ular octa6on has a perimeter o! 57"centimeters. What is the len6th o! one side#a. $ cm d. "" cmb. $8 cm e. 9one o! the choicesc. 7 cm

3". 2he area o! a s-uare is 3" s-. cm. What is theperimeter o! the s-uare#a. $ cm c. 30 cm



b. " cm d. 3" cm37. rectan6ular bloc: o! copper, with dimensions

$m "m )m, is melted and recast into acubical bloc:. Find the len6th o! the slide o! thecubical bloc:.a. ) m c. $ mb. " m d. 1 m

38. ! /3 the perimeter o! a s-uare is 1", then whatis the len6th o! one o! its sides#

a. " b. 8 c. ) d. 1

NUMBER SERIESDirection: For each item, select the letter thatcorresponds to your answer.3). $8, $, 1 , ", (((((

a. 5 b. 1 c. 3 d. $ e. $0. 0, 5, , 10, $, 15, ", 0, 8, (((((

a. ) b. 5 c. 10 d. 50 e. 1

$1. .7, 8.1, $.3, 7 .), (((((a. 178. c. 1$5.8 e. )8.7b. )1." d. 18.7

$ . 1/1 , 1/", 1/$, 1/3, 5/1 , (((((a. 1/ c. 3/$ e. 1/5b. 7/1 d. /"

$3. 7, 1", 3$, 70, 1$ , 8", 57$, (((((a. 770 c. )30 e. 1,150b. 8 0 d. 1,0$0

$$. 1, $, ), 1", 5, 3", $), (((((a. "$ b. $7 c. 81 d. 7 e. )8

$5. 3, ", 10, 15, 1, 8, 3", (((((a. $ b. 3) c. 7 d. $8 e. $5

$". $, 5, 8, 7, 1 , ), 1", 11, (((((a. 0 b. 15 c. 13 d. e. $

$7. 1/$, 1/ , 1, , $, (((((a. 1" b. " c. 3 d. 8 e. 5

$8. $, 8, 7, 1$, 13, ", 5, (((((a. $) b. $ c. $8 d. 5 e. 50

NUMBER ANALOGYDirection: For each item, select the letter thatcorresponds to your answer.$). 5 is to 1 5 as is to (((((.

a. 8 c. 1 e. 0

b. $ d. 1"50. 10$ is to " as ((((( is to $1".

a. 1, $8 c. 10$ e. 83b. 1,""$ d. 08

51. 10, 1 is to $0,8$8 as 88 is to (((((.a. 17" c. "$ e. 35b. $$ d.

5 . 3 is to 1/) as is to (((((.a. 1/ c. 8 e. 1/$

b. 1 d. $53. 10, 1 is to $0,8$8 as 88 is to (((((.

a. c. 35 e. "$b. $$ d. 17"

5$. 100 is to 10 as ((((( is to 5.a. 100 c. 5 e. 1b. 5 d. 1 5

55. 1/ is to 3/$ as ((((( is to 333.a. 33 c. e. )))b. 3 d. 111

LARGEST VALUEDirection: ;elect the letter that has the lar6est

alue.5".

a. " 8 881 d. " ) 881b. " 888 e. " " 885c. " 7 885

57.a. 0.800 c. 1/8 e. 81%b. 0.8 d. 8/10

58.a. 38% c. 3.08) e. 10/3b. 3.8 d. 38/11

5).

a. /7 c. 1/3 e. "/81b. 1/10 d. 8/ 7

"0.a. ) 15 c. 11 13 e. 13 11b. 10 1$ d. 1 1

ORD PROBLEMDirection: ;elect the best answer !or each 6i ensituation."1. student buys a boo: !or <175 a!ter recei in6 a

discount o! 1 .5%. What was the mar:ed price#a. <187.50 c. < 5.00b. < 00.00 d. < 50.00

" . condo unit was sold !or < .50 =, yieldin6 a5% pro!it. For how much would it be sold to

yield only a 10 % pro!it on the cost#a. < = c. < .5 =b. < . 5 = d. < .$5 =

"3. ! it ta:es 1" pipes 10 hours to !ill 8 tan:s, howlon6 will it ta:e 1 pipes to !ill ) tan:s#a. 10 hours c. 13 hoursb. 1 hours d. 15 hours

"$. =r. de >uan borrows < 3"0, 000. ! he pays bac:< 378, 000 a!ter one year, what is his interestrate#



a. 1.5% b. $.5% c. 5% d. 7.5%"5. ! " men need <3,"00 worth o! !ood !or a three

day campin6 trip, how much will men need !ora 15&day trip#a. <3,"00 c. <5,$00b. <$,800 d. <",000

"". What sin6le discount is e-ui alent to successi ediscounts i! 5% and 10%#a. 10.5% b. 1 .5% c. 1$.5% d. 15%

"7. ow many miles are there in $0 :ilometers#a. 5 b. "$ c. 3 d. "0

"8. n a 6roup o! 8,000 applicants !or a ci il ser icee amination, 1,"00 !ailed to ta:e the !irst parto! the test. What percent o! the total applicantstoo: the !irst part o! the testa. 0% b. 30% c. $0% d. 80%

"). =r. rt dri es his car at the rate o! "0 miles perhour. What is his rate in !eet per second#a. "" b. 7" c. 8" d. 88

70. t ?osa l ero ;treet, in @oyola ei6hts thereare 8 town houses and 5 pri ate indi idualhomes. What is the ratio o! town houses topri ate indi idual homes#a. ' 7 c. 1 ' 13b. ' 13 d. $ ' 13

71. ! a man tra els !or hal! an hour at "0 :m/hr,and !or a -uarter o! an hour !or 1 0 :m/hr, whatis his a era6e speed#a. 80 :ph c. 100 :phb. )0 :ph d. 1 0 :ph

7 . ! the ration o! boys to 6irls is 3 ' 7, i! the classhas $0 students, how many additional boys areneeded to enroll to ma:e the ration ' 1#a. 11 b. c. $$ d. 50

73. school has enou6h oatmeal to !eed 15 childrenin $ days. ! 5 more children are added, howmany days will the oatmeal last#a. 3 b. 1 c. 1 1/3 d. 5 1/3

7$. ! a car tra el "0 :m on 1 liters o! 6asoline,how many liters will be needed on a 10 :mtrip#a. 30 b. $ c. $5 d. 50

75. bas:etball team has won $ 6ames out o! 3"6ames played. t has $ more 6ames to play.

ow many o! these must team win to ma:e itsrecord 80 % !or the season#a. 1 b. $ c. 18 d. 18

7". n 8 meter rope is cut so that one part is 3/5o! the other. ow lon6, in meters, is the shorterse6ment#a. b. 3 c. $ d. 5

77. When the 6asoline 6au6e o! an automobileshows 1/8 !ull, 5 .5 liter is needed to completely!ill the 6asoline tan:. What is the capacity, inliters o! the 6asoline tan:#a. $8 b. 50 c. 5" d. "0

78. ! 7 is added to !our times a number, the resultis )1. What is the number#a. 5" b. $ c. 3 d. 1

7). ! $5 !eet o! uni!orm wire wei6h 5 :ilo6rams,what is the wei6ht o! 30 yards o! the same wire#a. 5:6 b. 10:6 c. 15:6 d. 0:6

80. shirt mar:ed <5"0.00 is sold !or <3) .00.What was the rate o! discounts#a. <1"8.00 c. 30%b. <1 3.00 d. 70%

81. truc: can carry a load o! 8/) tons. ow manytrips must the truc: ma:e to deli er 10 /3 tons

o! sand#a. 8 b. ) c. 10 d. 1

8 . sales representati e earns 5 % commission onall sales between < 0,000 and <"0,000, and 8% on all sales o er <"0,000. What was thecommission in a wee: in which her total saleswas <80,000#a. <3,"00 c. <5,"00b. <$,"00 d. <",$00

83. car that cost <1. = can be sold !or <"00,000a!ter 5 years o! use. What will be the yearlydepreciation cost#a. <100,000 c. <1 0,000b. <1 ,000 d. <"00,000

8$. hand& car ed wooden dinin6 set is priced at<"),)50. ! 0% discount is 6i en to thecustomer, how much would he ha e to pay !orthe set#a. <53,)"0 c. <5",)"0b. <5$,)"0 d. <55,)"0

85. ! an article priced at <)).80 is subAected to a10% B 2, what would be the total amount to bepaid !or the article#a. <8).8 c. <10).80b. <10).78 d. <110. 78

8". Find the cost o! " 4 doCen e66s at <30.00 perdoCen.a. <18" c. <1)$b. <1)0 d. <1)5

87. lady employee purchased an umbrella !or <180 less 0%. ow much should she pay i! it issubAect to a 5% sales ta #a. <151. 0 c. <1"0b. <153 d. <1"5

88. =r. Beronico ;al acion is buyin6 a piece o! lotat Billa omes West. 2he dimension o! therectan6ular lot is $ meters by 30 meters at<3,500/s-. meters, what would be the total costo! the lot#a. <308,000 c. <1,$70,000b. <105,01$ d. <735,000

8). ow much must a salesman sell in a month toyield him a commission o! <1 ,000, i! his rate o! commission is 5% on 6oods sold#a. <1 ,000 c. < $0,000b. <"0,000 d. < $,000

)0. ow much would Dhessa recei e !rom hismonthly salary o! <8,000 a!ter deductin6 4%!or ;;; contribution and 5% !or withholdin6ta #



?

?

a. <7,$00 c. <7,850b. <7,500 d. <7,)50

)1. student had <1,050 in his wallet. e spent<"30 !or boo:s and school supplies. What part o! his money did he spend#a. /5 c. /3b. 3/5 d. 3/$

) . =s. =ia =iranda sa es 18% o! her monthlysalary o! <1",500. ow much does she sa e in a

year#a. <3$,$"0 c. <35,"$0b. <35,$"0 d. <3","$0

)3. =rs. @ydia Eu wishes to buy a second hand car,the cash price o! which is <150,000. 9ot ha in6ready cash she a6rees to pay 1/3 down and thebalance in 10 monthly installments o! <11,000each. What is the total price o! the car#a. <1"0,000 c. <110,000b. <170,000 d. < "0,000

)$. cross stitch owner buys cross&stitch !rame at<1 ,500 each. ow much should he sell each inorder to realiCe a pro!it o! 3/ 0 more than thebuyin6 price#a. <1 ,750 c. <13,350b. <13,375 d. <1$,375

)5. 2his year D DompanyGs pro!it was < ,$$0,000.Which is % more than last yearGs pro!it# owmuch was the pro!it last year#a. <1, 0,000 c. <1,880,000b. <1,)00,000 d. < ,000,000

ABSTRACT REASONINGDirection: ;elect the best answer !or each 6i ensituation.

)".

a. b. c. d.

)7.

a. b. c. d.



?

?

)8.

a. b. c. d.

)).

a. b. c. d.

100.

a. b. c. d.

101.

102.

a. 4 b. 5 c. 6 d. 7

103.

104.



105.

106. Which is the odd one out?

107. What number should replace thequestion mark?

a. 3 b. 4 c. 5 d. 6108. What number should replace the

question mark?

a. 0 b. 1 c. 2 d. 310 .

a. 14 b. 21 c. 2 d. 31110. !denti"# the odd one out.

111. $ can do a %ork in 15 da#s and & in 20da#s. !" the# %ork on it to'ether "or 4 da#s(then the "raction o" the %ork that is le"t is)A.1/4 B. 1/10 C.7/15 D.8/15

112. $ can la# rail%a# track bet%een t%o'i*en stations in 16 da#s and & can do thesame +ob in 12 da#s. With help o" ,( the#

did the +ob in 4 da#s onl#. -hen( , alone cando the +ob in)A. 9 1/5 days B. 9 2/5 daysC. 9 3/5 days D. 10

113. $ can do a piece o" %ork in 4 hours &and , to'ether can do it in 3 hours( %hile $



and , to'ether can do it in 2 hours. /o%lon' %ill & alone take to do it?A. 8 hours B. 10 hoursC. 12 hours D. 24 hours

114. $ can do a certain %ork in the same timein %hich & and , to'ether can do it. !" $ and& to'ether could do it in 10 da#s and ,alone in 50 da#s( then & alone could do it in)

A. 15 days B. 20 daysC. 25 days D. 30 days115. $ does 80 o" a %ork in 20 da#s. /e

then calls in & and the# to'ether nish theremainin' %ork in 3 da#s. /o% lon' & alone%ould take to do the %hole %ork?A. 23 days B. 37 daysC. 37 ½ days D. 40 days

SIMPLE MATH

116. What number is hal" the product o" 11and 8?a. 3 b. 1.5 c. 44 d. 88 e. 176

117. -he al'ebra class o" ro". eith consistso" 62.5 'irls. !" there are 12 bo#s in hisclass( ho% lar'e is the class?a. 20 b. 42 c. 48 d. 32 e. 36

118. 6.02 multiplied b# 0.065 equals)a. 0.3 13 b. 12.615b. c. 3. 13 d. 0.4113 e. 0.4013

11 . !" the %idth o" a rectan'le is equal to itslen'th( %hat is special about the rectan'le?a. !t is de'enerateb. !t is trape oidc. !t is a trape iumd. !t is a tetrahedrone. !t is a square

120. !" #ou add 4 5 to 8 15( the result %ill be.a. 12 20 b. 4 5b. c. 1 1 15 d. 1 1 3 e. 1

121. ,ath# 'ot a 'rade o" 5 in ilipino( 6 inn'lish( 6 in athematics( 7 in 9ocial

9tudies( 7 in 9cience and 74 in music.What %as her 'eneral a*era'e?a. 2 b. 2.5b. c. 3 d. 3.5 e. 4.5

122. :ar'e e''s sell "or 10.80 enn# a do en.edium e''s sell "or .60 enn# a do en

and small ones are .00 enn# do en. !";on( bou'ht the same number o" each kindo" e'' "or 245.00( ho% man# e''s did hebu#?a. 150b. 300c. 75d. 175e. 100

ADDITION

123. 4.012 < 3.747 < 6.3 2 =a. 13. 51b. 14.151c. 14.141d. 13. 41e. >one o" the abo*e

124. 8.888 < 2.222 =a. 11 b. 10 c. 11.1d. 10.1 e. 11.11

125. 87 < 61 < 44 < =a. 281 b. 2 1 c. 381d. 391 e. none of the above

126. 3.86 <4. 3 < 5.77 =a. 12.66b. 14.46c. 14.36d. 14.56e. 13.56

127. .006 < 10.4 < 3.07 < 8. =a. 31.566b. 31.52c. 30.466d. 31.456e. >one o" the abo*e

128. 57.003 < 1 .42 <6.00 < 78.1 =a. 160.532b. 160.432c. 15 .432d. 158.432e. 15 .532

12 . 4271 < 8 36 < 10(7 8 =a. 24(005b. 24(105c. 23( 5d. 23( 05e. >one o" the abo*e

130. 37.62 < 41.37 < 6.48 < 17.71 =a. 7.48b. 7.48c. 103.18d. 103.18e. >one o" the abo*e

SUBTRACTION

131. 6.00008 @ 4. 876 =a. 1.01248b. 1.42248c. 1.12358d. 1.12348e. >A> AB -/ $&A

132. .42 @ 2.6348a. 6.8752b. 6.7862



c. 6.6 52d. 6.7852

133. 111 @ 44 =a. 77b. 72c. 67d. 57e. >one o" the abo*e

134. 6.2 @ 3.0007 =a. 3.2 3b. 2.2 3c. 3.1883d. 3.1 3e. >one o" the abo*e

135. 88 @ 4 6 =a. @ 584b. @ 418c. 408d. 414e. >one o" the abo*e

136. 3.421 @ 8. 348 =a. @ 5.5138b. 5.5138c. 4.5138d. 4.5138e. >one o" the abo*e

137. 4.002 @ 6. 7 =a. 2. 5b. 10.c. 10.d. 2.885e. >one o" the abo*e

138.2.0 @ 8.471 =a. 6.371

b. 6.5281c. @ 6.5281d. 6.471e. >one o" the abo*e

13 . 1.0 @ 0.8342 =a. 0.1648b. 0.1658c. 0.8342d. 0.2658e. 0.2558

140. 4.0003 @ 0.4 =a. 4.b. 3.c. 3.d. 3.e. 3.6003

FRACTIONS

141. C < 1 3 =a.b. 2 3c. 1 5d. 5 6e. 2 5

142. 1 5 < 1 7a. 2 5b. 12 35c. 13 35d. 1 6e. 11 35

143. 2 5 <1 3a. 3 8b. 11 15c. 8 15d. 4 5e. >one o" the abo*e

144. C < 1 3 <1 6 =

a. 11 12b. 7 6c. 35 36d. 1 11e. >one o" the abo*e

145. D <2 8 =a. 13 12b. 5 12c. 5 7d. 7 6e. 17 12

FIND THE AVERAGE146. 35( 41(2 ( 1

a. 27 b. 2 c. 30 d. 31 e. 33147. 6( 2( 4( ( 8( 3( 11( 8( 7( 6

a. 5.7 b. 5.4 c. 6.7 d. 6.4 e. >A-$148. ( 8( 6( 4( 3

a. 5 b. 6 c. 7 d. 8 e. >A-$14 . 8.3( 4. ( 7.7( 8.06( 5. 4

a. 7.02b. 6.68c. 7.42d. 6.12

e. 6. 8150. 487( 488( 48 ( 4 0( 4 1( 4 2( 4 3a. 48 .5b. 4 1.5c. 4 0d. 507e. >one o" the abo*e

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