# p. 1

regents competency test mathematics monday january 26 2004 9:15 a.m the questions on this test measure your computational skills your knowledge of mathematical concepts and your ability to solve mathematical problems your answers to these questions must be recorded on the separate answer sheet use only a no.2 pencil on your answer sheet when you have completed the test you must sign the declaration which states that you did not see any of the questions or answers before taking this test and that you have neither given nor received help in answering any of the questions during the test your answer sheet cannot be accepted if you fail to sign this declaration do not open this test booklet until you are told to do so copyright 2004 the university of the state of new york the state education department albany new york 12234 no part of this test may be reproduced and/or transmitted by any means without written permission.

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# p. 2

part a answer all 20 questions in this part write your answers on the lines provided in part a on the separate answer sheet use only a no.2 pencil on the answer sheet 1 add 462 103 257 6 if 80 campers are going on a trip with 5 counselors what is the average number of campers per counselor 2 divide 609 +3 7 subtract 85.58 37.79 3 what number is located at a on the number line below a 8 what is the value of 53 · iiii -6 -3 ti iiiiiiiiii · 0 3 6 9 9 multiply 207 x 16 4 add 42.3 0.56 6.6 10 what is the total number of meters in the perimeter of the rectangle below 5 express f as a mixed number 10 m 4m rct-math jan 04 [4]

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# p. 3

11 multiply 16 divide -25 by -5 12 reduce to lowest terms 17multiply 31.6 x 5.2 13 solve for y 3y 7 19 18 what is the mode of the following set of numbers 40,50,50,45,60,70,45,50 14 divide 0.41.68 19 add 15 find the sum of 13 6 and -4 20 what is the total number of square feet of carp eting needed to completely cover a floor that measures 12 feet by 9 feet rct-math jan 04 [5 [over]

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# p. 4

part b answer all 40 questions in this part mark your answers in the rows of answer circles provided in part b on the separate answer sheet use only a no.2 pencil on the answer sheet 21 the graph below shows the number of dolls made each year by a toy company dolls made 2001 2000 1999 1998 key 1,000 dolls made how many more dolls were mad e in 2001 than in 2000 1 2,000 2 2 3 2,500 4 14,500 22 the table below can be used to find out how many gallons of gasoline a car will need to travel a given number of miles gasoline usage distance miles 8,000 10,000 12,000 16,000 rate of use mpg 10 mpg 800 gal 1,000 gal 1,200 gal 1,600 gal 15 mpg 533 gal 667 gal 800 gal 1,067 gal 20 mpg 400 gal 500 gal 600 gal 800 gal 25 mpg 320 gal 400 gal 480 gal 640 gal 30 mpg 267 gal 333 gal 400 gal 533 gal 35 mpg 229 gal 286 gal 343 gal 456 gal if a car uses gasoline at a rate of 25 miles per gallon mpg how much gasoline will be needed to travel 10,000 miles 1 500 gal 2 480 gal rct-math jan 04 3 333 gal 4 400 gal [6]

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# p. 5

23 a bookb ag that regularly costs $24.35 is on sale for $17.79 how much can be saved by buying the bookbag on sale 1 $13.44 2 $8.45 3 $7.66 4 $6.56 28 an announcer reported that 23,000 people atte nded a football game she had rounded the actual number to the nearest thousand which number could represent the actual attendance 1 22,214 2 22,871 3 23,615 4 23,800 24 what is the difference between 10,000 and 379 1 9,371 2 9,620 3 9,621 4 9,721 29 the graph below shows the number of prom tickets sold on each of 6 days prom ticket sales 56 c r 48 i i t t t t t t l t tt kt l 25 linda earned $209 for working 38 hours what was her hourly rate of pay o a 40 i t32 i 24 0 i a t i t .8 i z i f 1 $3.35 2 $5.50 3 $17.10 4 $7,942.00 e 16 1 1 8 1 t t t i vi ii may may may may may may 15 16 17 18 19 20 day 26 what is the least common multiple of 5,8 and 1o 1 400 2 80 3 50 what was the total number of tickets sold 1 40 3 160 4 170 4 40 2 150 27 which unit is a measure of mass weight 1 gram 2 liter 3 meter 4 degree celsius 30 solve for x 8 5 35 x 1 38 2 56 3 175 4 280 rct-math jan 04 [7 [over]

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# p. 6

31 which nu mb er is the best estimate of the product of 68 and 52 1 2,500 2 3,000 3 3,500 4 4,000 35 in the nu mber 1,532.67 which digit is in the hu ndreds place 1 1 2 5 3 6 4 7 32 a box contains two oranges four apples and six peaches if a stu dent picks one piece of fruit at random from the box what is the probability that she will choo se an apple 1 1 4 2 4 6 3 12 36 on the graph below what are the coordinates of point m y 8 4 4 12 -4 1 4 33 ted bought some furniture and agreed to pay $45 a month for 18 mon ths what was the total amount that ted paid for the furniture 1 $650 2 $725 3 $810 4 $975 m 1 4 5 2 4,5 3 5 4 4 5,4 34 which decimal is equal to thirty-six and eight thousandths 1 0.368 2 0.36008 3 36.08 4 36.008 37 robyn receives a 25 commission on the textbooks she sells if she sells textbooks worth a total of $825.00 what is her commission 1 $25.00 2 $206.25 3 $618.75 4 $1,031.25 rct-math jan 04 [8]

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# p. 7

38 mark earns $16 each week he saves $3 of that money what is the ratio of his savings to his earnings 1 2 42 which number is divisible by 6 1 16 2 26 3 63 4 96 1 1 3 16 3 4 13 3 43 which integer has the greatest value 39 julian had a balance of $600 in his bank 1 -1 2 -11 3 -20 4 -4 account he made a $100 withdrawal and earned $7.50 interest on his account what is his new balance 1 $492.50 2 $507.50 3 $592.50 4 $707.50 44 which of these polygons is not a quadrilateral 40 tracy bought toothpaste for $3.73 a toothbrush for $2.48 and mouthwash for $5.39 if she paid for the items with a $20 bill how much change should she have received 1 $11.60 2 $9.60 1 3 3 $9.40 4 $8.40 2 4 45 if jorge is x years old today which expression 41 if the sales tax is 8 how much tax must be paid on a coat that costs $92.00 1 $7.26 2 $7.36 3 $8.26 4 $8.36 represents his age 10 years ago 1 lox 2 10 x 3 x 10 4 x-io rct-math jan 04 [9 [over]

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# p. 8

46 for a long-distance telephone call latrell was charged $0.28 for the first minute and $0.13 for each additional minute what was the total charge for his 12-minute call 1 $1.43 2 $1.71 3 $2.93 4 $3.08 50 lila began playing ball at 9:30 a.m and finished at 1:00 p.m how long did she play ball 1 5 hours 2 4 hours 3 3 hours 4 4 hours 47 two cities that are 150 miles apart are 5 inches apart on a map what is the scale used for the map 1 1 in 30 mi 2 1 in 150 mi 3 1 in 3 mi 4 1 in 750 mi 51 if motor oil costs $2.70 for 3 quarts what is the cost of 7 quarts of oil 1 $0.90 2 $5.40 3 $6.30 4 $18.90 52 th e circle graph below shows how kylie 48 on the ruler below which letter indicates 1 inch 8 1 1 11i .inches 1 spent $20 during 1 week weekly expenses abc 1 i i i i· i i 2 0 i i i 1~1 1i itoii 3 1 a 2 b 3 c 4 d 49 which fraction has a value greater than i 1 4 3 2 7 3 to ~1 how much did kylie spend on school lunches 1 $8.00 2 $2.00 3 $5.00 4 $4.00 8 4 rct-math jan 04 [10]

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# p. 9

53 what percent of the figur e below is shaded 57 what is the circumference of a circle whose radius is 5 use c 21tr and 1t 3.14 1 15.70 2 31.40 3 62.80 4 78.50 1 25 2 30 3 33.3 4 300 58 evaluate 1 48 2 49 1 6x8 3 54 4 56 54 given the formula a b c e what is th e value of a when b 2 c 3 d 5 and e 7 1 2 2 7 3 8 4 12 59 what is the value of c in th e right triangle below 55 what is the prime factorization of 30 1 2 x 15 2 5 x 6 3 3 x 10 4 2 x 3 x 5 9 12 1 15 2 21 3 63 4 225 56 there are 90 sixth grade students in a school if 60 percent of these students collect baseball cards how many students collect baseball cards 1 30 2 46 3 54 4 60 60 evaluate 1 15 2 25 .j25 j100 3 55 4 125 rct-math jan 04 [11]

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