REGENTS COMPETENCY TEST

MATHEMATICS

Wednesday, June 18, 1997 - 1:15 p.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 1997

THE UNIVERSITY OF THE STATE OF NEW YORK THE STATE EDUCATION DEPARTMENT

ALBANY, NEW YORK 12234

No part of this test may he reproduced and/or transmitted by any means without written permission.

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 Write the numeral for sixteen thousand six hundred seven.

9 The circle graph below shows a family's expenses as a percent of their total monthly income.

Family's Monthly Expenses

Rent 30%

Utilities 15%

Miscellaneous

What percent of the total monthly income does the family spend for food?

2 Add: 4352 509

+ 628

3 What is the value of 24?

4 Add: 28.3 + 73 + 1.5

5 Solve for y: 7y + 8 = 29 10 Add:

3 36 Multiply: 4 X "5

11 Reduce ~g to lowest terms.

7 Subtract 327 from 500.

12 Subtract 14.72 from 26.5.

8 Round 83,751 to the nearest hundred.

RCT-Math.-June '97 [4]

13 What is the value of P in the formula P = 2f + 2w, when e= 9 and w = 5?

17 Add: (-4)+(-6)+(+8)

18 Change i~ to a mixed number. 14 Divide: 26) 5330 .

19 Multiply: 23.7 X 0.56 15 Divide: -36 +-9

20 What is the median of 83, 68, 52, 87, and 52?16 Linda's test scores in math are 93,91, and

86. What is the mean (average) of her test scores?

RCT-Math.-June '97 [5] [OVER]

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 Mario earns $5.50 an hour at his job. Ifhe works 12 hours, what are his total earnings?

(1) $0.66 (3) $66.00 (2) $6.60 (4) $6,600.00

22 Jose rode his bicycle for 5 hours at a speed of 12 miles per hour. What was the total number of miles that he traveled during this 5-hour period?

(1) 7 (3) 40 (2) 17 (4) 60

23 On the number line below, which point is closest to 1.5?

A B

.. I

0

~ ~ • •

1

(1) A (2) B

C D

~ •

~ •2

I

3 •

(3) C (4) D

24 The length of each side of a square is 9 centimeters. What is the total number of centimeters· in the perimeter of the square?

(1) 81 (3) 27 (2) 36 (4) 18

25 Which number is divisible by both 2 and 5?

(1) 1 (3) 30 (2) 25 (4) 36

26 Which diagram represents two parallel lines?

( 1 ) //(3) /• •

j,

( 2 ) X ( 4 ) ~ .........

I

,~

"""'­-

27 Mohammed purchased a television set by paying $150 down and making 8 payments of $40 each. What was the total cost of the television set?

(1) $190 (3) $470 (2) $198 (4) $1,240

28 In a restaurant, four people can be seated at each table. What is the least number of tables needed to seat 50 people?

(1) 10 (3) 13 (2) 12 (4) 20

RCT-Math.-June '97 [6]

4 x29 Solve for x : 34 The graph below shows the average "7 = 35 number of students per computer in

(1) 140 (3) 9 United States schools. (2) 20 (4) 5

United States Students Per Computer 80

~ 701-+---l--l----I----l--l---+-----I---+-­c ~ 60-l-----ja--l---+---+---l--f-----I--+----1

30 Which four numbers are arranged from ~ 50-l--.I--4-l---+---+---l--f-----I--+----1smallest to largest? '0 40-l----I----~;::--+--+--+--f---+--+-----1 ....

(1) -1, -5, 0, 3 (3) 0, -1,3,-5 ~ 30-l--+--l--- +-~""'- -l--I---+-----1

(2) 0,3, -1,-5 (4) -5, -1, 0,3 ~ 20-l--./.---l---+----l---+-~k--I---+-----1 Z

1O-l---+--+-+--1--+----+-+--~~

o-1---+--+-+--+-+----+-+----+----1

31 Which algebraic expression represents the phrase "four times a number, decreased by 3"?

(1) 4n - 3 (3) 3 - 4n (1) 1987 and 1988 (2) 4(n - 3) (4) 4n + 3 (2) 1990 and 1991

(3) 1991 and 1992 (4) 1993 and 1994

32 Which metric unit would be used to measure the width of a computer screen?

35 What is the least common denominator (1) liter (3) centimeter (LCD ) that can be used in adding the (2) kilogram (4) centigram

. 1 3 d 5? fractlOns '2' 5' an 6'

(1) 12 (3) 30 (2) 13 (4) 60

33 Each shown below represents

100,000 compact discs sold. . ,"c," \

36 Tameka purchased a pair of sneakers for n· 0.'. ~~ $52,75 and a pair of socks for $3.50. What

is the correct amount of change she should How many compact discs are represented? receive from $60.00?

(1) 3i (3) 300,050 (1) $3.25 (3) $4.25

(2) 3500 (4) 350,000 (2) $3,75 (4) $4.75

1987 1988 1989 1990 1991 1992 1993 1994 1995 Year

Between which two years did the smallest change occur?

RCT-Math.-June '97 [7] [OVER]

37 Carmela takes 35 minutes to get to school from her home. What is the latest time she could leave home to get to school at 8:15 a.m.?

(1) 7:20 a.m. (2) 7:40 a.m.

(3) 7:50 a.m. (4) 8:50 a.m .

41 If 5 pounds of potatoes costs $0.90, how much would 3 pounds of potatoes cost?

(1) $0.18 (2) $0.21

(3) $0.54 (4) $1.50

42 Which fraction has the smallest value?

(1) ~

(2) ~

38 What percent of the square below is shaded?

(1) 50% (2) 40%

(3) 32% (4) 4%

43 Of the .25 students in a ninth grade class, 14 are boys. What is the ratio of the number of boys to the number of girls?

(1) 14:11 (2) 11:14

(3) 11:25 (4) 14:25

39 Th e probability of a team winning a game

is ~. What is the probability the team will

not win the game?

(1) 131

(2) ~

(3) ~

(4) ~

44 Jason borrowed $360.00 at an annual interest rate of 15%. What is the total amount of interest he would pay in 1 year?

(1) $0.54 .(2) $5.40

(3) $54.00 (4) $540.00

45 On a map, 1 inch represents 100 miles .

How many miles are represented by

2~ inches?

(1) 102~

(2) 20~

(3) 275

(4) 234

40 In the number 243.87, which digit is in the tenths place?

(1) 7 (2) 8

(3) 3 (4) 4

RCT-Math.-June '97 [8]

46 What is 170 written as a percent? 51 Wanda bought a VCR on sale for 20% off

(1) 7% (3) 3% the regular price of $180. How much did

(2) 17% (4) 70% Wanda pay for the VCR?

47 The greatest common factor (GCF) of 32 and 48 is

(1) 32 (3) 12 (2) 16 (4) 4

48 What is the length of the side of a square whose area is 81 square feet?

(1) 9 ft (3) 162 ft (2) 18 ft (4) 6561 ft

49 What is the value of ~100?

(1) 1 (3) 50 (2) 10 (4) 100

50 Which inequality is represented by the graph below?

_ iii ii' I I I I I I I I I ~ -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

(1) x ::; -2 (3) x.<-2 (2) x ~-2 (4)x>-2

(1) $36 (3) $160 (2) $144 (4) $216

52 Subtract:

(1) 7~ (3) 18~

(2) 8~ (4) 1~

53 What is the value of 4 + 7 x 5?

(1) 140 (3) 39 (2) 55 (4) 27

54 In triangle ABC below, what are the coordinates of point B?

y~~ 1 0 I---t----I---+--+--+---+--+-+---+___+__

gl---t----I---+--+--+---+--+-+---+___+__

8t--+----+---+-+-+--+--+-+---+---+-­

7t--+----+----+-+-+--+---+--+---+-+­

6 C

5 " 4 3 '", ­

~~ 2 ~ 1~..-.-.....-.......~:-+-+--+--+-~ A - ,~ 1 2 3 4 5

B 6 7 8

~ 9 10

x

(1) (1,1) (2) (1,5)

(3) (1,6) (4) (6,1)

RCT-Math.-June '97 [9] [OVER]

55 Heather paid a sales tax of 8% on a book 58 Which is a composite number? priced at $6.50. What was the total sales

(1) 17 (3) 37 tax? (2) 19 (4) 39

(1) $0.98 (3) $0.48 (2) $0.52 (4) $0.08

59 How many grams are equal to 6 kilograms?

56 What is the circumference of a circle (1) 60 (3) 1000 whose radius is 5 inches? (Use C = ted and (2) 600 (4) 6000 1t = 3.14)

(1) 31.4 in (3) 13.14 in (2) 15.7 in (4) 8.14 in

60 In the right triangle below, AC = 6 and CB = 8.

57 What is the area of parallelogram ABCD Abelow?

A B n

1 C BI

168 1

rl What is the length of AB? (Use the

D 12 C 2 + b2 2)formula a =c

(1) 10 (3) 28 (1) 20 (3) 72 (2) 14 (4) 100 (2) 40 (4) 96

RCT-Math.-June '97 [10]